# A Survey of Mathematics with Applications (10th Edition)

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variable ; Whenever any unknown number is ... more

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constant ; In any algebraic expression, those ... more

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expression ; In algebra, a combination of ... more

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solution ; When the variable in an equation is ... more

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terms ; In an algebraic expression, if any part is... more

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like ; In an algebraic expression, if the terms ... more

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coefficient ; In an algebraic expression, the ... more

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linear ; Any equation, whose highest exponent for ... more

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identity ; An identity is known to be an equation ... more

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contradiction ; Any equation, which cannot be ... more

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9 ; Substitute for into the given expression. ; ... more

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64 ; Substitute 8 for into the given expression... more

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; Substitute for into the given expression. ; ... more

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; Substitute for into the given expression. ; ... more

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686 ; Substitute for into the given expression... more

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64 ; Substitute for into the given expression... more

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; Substitute 4 for into the given expression. ; ... more

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3 ; Substitute for into the given expression. ; ... more

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13 ; Substitute for into the given expression... more

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; Substitute for into the given expression. ; ... more

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6 ; Substitute 3 for into the given expression... more

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; Substitute for into the given expression. ; ... more

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; Substitute for into the given expression. ; ... more

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; Substitute for into the given expression. ; ... more

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Substitute 3 for into the given equation, to ... more

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Substitute for into the given equation, to check... more

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Substitute 2 for into the given equation, to ... more

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Substitute 3 for into the given equation, to ... more

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Substitute for into the given equation, to check... more

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Substitute for into the given equation, to check... more

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; Apply the distributive property, . ; Apply the ... more

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; Apply the distributive property, . ; Apply the ... more

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; Apply the distributive property, . ; Apply the ... more

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; Apply the distributive property, . ; Apply the ... more

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; Group the like terms.Apply the distributive ... more

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; Group the like terms.Apply the distributive ... more

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; Group the like terms together.Apply the ... more

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; Group the like terms together.Apply the ... more

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; Group the like terms together.Apply the ... more

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; Apply the distributive property, . ; Perform ... more

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; Regroup the terms and combine the like terms ... more

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; Regroup the terms and place like terms together... more

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; Apply the distributive property, . ; Add by ... more

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; Apply the distributive property, . ; Add by ... more

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; Regroup the terms and place like terms together... more

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; Regroup the terms and place like terms together... more

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; Apply the distributive property, . ; Regroup ... more

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; Apply the distributive property, . ; Regroup ... more

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; Apply the distributive property, . ; Regroup ... more

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; Apply the distributive property, . ; Regroup ... more

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; Apply the distributive property, .Remove common... more

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; Apply the distributive property, .Remove common... more

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; Regroup the terms and place like terms together... more

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; Regroup the terms and place like terms together... more

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2 ; To solve the equation for variable , subtract ... more

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17 ; To solve the equation for variable , add 4 ... more

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; Add 2 to both sides of the given equation by ... more

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5 ; Subtract 5 from both sides of the given ... more

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; Determine Lowest common denominator of 2 and 3... more

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; Determine Lowest common denominator of 2, 3, ... more

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4 ; To solve the equation for variable , add to ... more

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; To solve the equation for variable , subtract ... more

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3 ; To solve the equation for variable , subtract... more

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; To solve the equation for variable , subtract ... more

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; Determine the lowest common denominator for 1, ... more

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3 ; Determine the lowest common denominator for 1 ... more

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No solution ; Apply the distributive property, ... more

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No solution ; Apply the distributive property, ... more

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All real numbers ; Apply the distributive ... more

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All real numbers ; Apply the distributive ... more

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3 ; Apply the distributive property, that is, .... more

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7 ; Apply the distributive property, . ; Subtract... more

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; Regroup the terms and place like terms together... more

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; Regroup the terms and place like terms together... more

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2 ; Apply the distributive property, .Combine like... more

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5 ; Apply the distributive property, .Combine like... more

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; Substitute 79 for into the given equation to ... more

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; Substitute 75 for into the given equation to ... more

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minutes ; Calculate decimal value of by dividing... more

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8 feet ; Substitute 2 for into the given equation... more

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An even number of factors of will always be equal... more

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NoFor each given value of and , both the ... more

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1 multiplied by 1 for any natural number of times ... more

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In the 15th century, exponents were first used by ... more

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Ancient Egyptians did not have any methods or ... more

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Subscripts ; Any small letters or numbers which ... more

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Formula ; It is an equation that is used to define... more

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40 ; Substitute 10 for into the given formula. ; ... more

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36 ; Substitute 9 for and 4 for into the given ... more

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46 ; Substitute 15 for and 8 for into the given ... more

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8 ; Substitute 40 for and 5 for into the given ... more

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10 ; Substitute 4500 for and 30 for into the ... more

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2500 ; Substitute 62,500 for and 5 for into the ... more

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; Substitute 8 for and 2 for into the given ... more

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; Substitute 5 for and 4 for into the given ... more

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; Substitute for , for , and 3 for into the ... more

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6 ; Substitute 336 for , 8 for , and 9 for into ... more

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2 ; Substitute 80 for , 20 for , and for into ... more

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86 ; Substitute 85 for , 77 for , and 92 for into... more

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; Substitute 2304 for and 12 for into the given... more

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6 ; Substitute 36 for , 4 for and 8 for into the... more

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; Substitute 942 for and 5 for into the given ... more

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5 ; Substitute for and 3 for into the given ... more

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; Substitute 7 for into the given formula. ; ... more

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25 ; Substitute 77 for into the given formula. ; ... more

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6 ; Substitute 8 for , for , for , and for ... more

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2 ; Substitute 66 for , 60 for , 15 for , and 25 ... more

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; Substitute 5 for , for , 7 for , for , for... more

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4 ; Substitute 2 for , for , and for into the ... more

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14 ; Substitute 4 for , 30 for , and 150 for into... more

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13 ; Substitute 5 for and 12 for into the given ... more

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; Substitute 100 for and 200 for into the given... more

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400 ; Substitute 12 for , 10 for , 60 for , and 8 ... more

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; Substitute 10 for , for and 4 for into the ... more

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; Substitute 100 for , for , 1 for , and 3 for ... more

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; Subtract from both sides of the obtained ... more

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; Subtract from both sides of the given equation... more

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; Subtract from both sides of the given equation... more

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; Add to both sides of the given equation by ... more

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; Subtract from both sides of the given equation... more

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; Subtract from both sides of the given equation... more

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; Divide both sides of the given equation by to ... more

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; Apply the division property to divide both ... more

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; Subtract from both sides of the given equation... more

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; Subtract from both sides of the given equation... more

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; Multiply both sides of the given equation by 2... more

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; Divide both sides of the given equation by and... more

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; Divide both sides of the given equation by and... more

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; Multiply both sides of the given equation by 3 ... more

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; Subtract from both sides of the given equation... more

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; Subtract from both sides of the given equation ... more

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; Subtract from both sides of the given equation ... more

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; Multiply both sides of the given ... more

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; Subtract 32 from both sides of the ... more

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; Multiply both sides of the given equation by 9 ... more

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; Subtract from both sides of the given equation ... more

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; Apply the division property to divide both ... more

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hours ; Substitute 403 for and 62 for into the ... more

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8% ; Use the formula for simple interest, .... more

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; Substitute for and 7 for into the given ... more

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; To find the volume of the rectangular solid box... more

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ratio ; A ratio reflects the relative sizes ... more

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proportion ; Proportions establish an equal... more

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5 more than ; The given expression shows any ... more

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2 less than ; The given expression shows any ... more

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2 times , decreased by 3 ; The given expression ... more

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3 times ,increased by 5 ; The given expression ... more

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; The phrase “more than” represents the addition ... more

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; The phrase “less than” representsthe ... more

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; The phrase “decreased by” represents the ... more

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; The phrase “increased by” ... more

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; The phrase “product” means multiplication. The... more

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; The phrase “less than” representsthe ... more

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; The phrase “more than” represents the addition ... more

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; The phrase “increased by” representsthe ... more

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; The phrase “decreased by” represents the ... more

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; The phrase “sum of” representsthe addition of ... more

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; The phrase “times” represents multiplication.... more

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; The phrase “quotient” represents division.The ... more

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; 25 ; Let the number be .The phrase "less than" ... more

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; 4 ; Let the number be.The phrase "increased by... more

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; 7 ; Let the number be.The phrase "sum of" ... more

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; 24 ; Let the number be.The phrase "divided by" ... more

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; 13 ; Let the number be.The phrase "less than" ... more

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; 3 ; Let the number be. The phrase "increased by... more

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; 5 ; Let the number be.The phrase "more than" ... more

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; ; Let the number be.The phrase "less than" ... more

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; 9 ; Let the number be.The phrase "increased by... more

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; 16 ; Let the number be .The phrase "less than" ... more

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; 4 ; Let the number be .The phrase... more

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; 9 ; Let the number be .The phrase "difference" ... more

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; 210 miles ; Let themiles driven be .The ... more

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; $40 per half hour ; Let the rent before tax be... more

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; $6500 ; Let the total sales be .... more

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; ; Let the original price before tax be.... more

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; 3125 copies ; Convert to dollars by multiplying ... more

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; 11 months ; Let the number of months be .The ... more

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; $5000 in mutual fund; $15,000 in stocks ; Let ... more

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; $250 for Course B; $750 for Course LA ; Let the ... more

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; Width: 12 feet;Length: 14 feet ; Let the width ... more

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; Length: 40 feet; Width: 20 feet ; For the given ... more

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; ; Let the regular fare before tax be .Calculate ... more

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, 45 rounds ; Let the person M play rounds of ... more

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8 gallons ; Let the quantity of paint be .Set up ... more

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18,190,000 ; Let the number of households be .Set ... more

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ml ; Let the number of millilitres of S be .Set ... more

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cc ; Let the unit of Insulin be .Set up the ... more

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cc ; Let there be units of insulin.Set up the ... more

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$720 deducted from Mr. MA’s income; $2920 deducted... more

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; Let the temperature at which for and read the ... more

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There is an article about Disease PC. It states ... more

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Direct ; In direct proportion, if one variable ... more

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Inverse ; In an inverse variation, if one variable... more

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Joint ; When one variable depends upon two (or ... more

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Proportionality ; It is the constant value that ... more

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If the actual distance between two cities ... more

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If the volume of water coming out of the hose ... more

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If the temperature of the burner increases, the ... more

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The formula of the volume of a sphere is , where ... more

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If the rate of interest increases, then the ... more

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If the device H’s diameter increases, the fluid W ... more

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If the speed of the individual R increases, the ... more

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As the time passes, the prices of the automobiles ... more

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As the number of calories increases in the body, ... more

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If the number of individuals W increases, the time... more

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If the room temperature increases, the time ... more

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The weight of an object increases if the mass of ... more

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If there are more people in the line, then the ... more

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If the water temperature is high, then the time ... more

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If the lawn area increases, then the fertilizer ... more

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If the water depth increases, the percent of light... more

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Current and electricity bill; Number of family ... more

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The number of water taps with filling time of a ... more

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unit ; Let the intensity of illumination be and... more

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$ ; Let the proportionality constant be .Apply the... more

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Inequality. ; By symbol of inequality sign, a non-... more

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Compound. ; In the given expression, two ... more

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No ; A set of real numbers can also be compared ... more

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All ; The given statement is always true, ... more

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Negative ; Any inequality when multiplied or ... more

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Closed ; Any solution set of inequality can be ... more

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Open ; Any solution set of inequality can be ... more

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In the given inequality, should be greater than or... more

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In the given inequality, should be less than 4.Any... more

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Subtract 9 from both sides of the given inequality... more

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Add 8 to both sides of the inequality and simplify... more

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Divide both side of the inequality by 6.Multiply ... more

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Divide both side of the given inequality by 4.... more

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Multiply both sides of the inequality by 6 to ... more

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Multiply 5 on both sides of the inequality. ; In ... more

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Multiply both sides of the given inequality by ... more

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Multiply both sides of the given inequality by ... more

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Subtract 6 from both sides of the given inequality... more

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Subtract from both sides of the given inequality.... more

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The obtained inequality is false, so there will be... more

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Expand the left and right side of the inequality.... more

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In the given compound inequality, should be ... more

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In the given compound inequality, is greater than... more

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Add 4 on each side of the given inequality. ; In ... more

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Multiply each side of the given inequality by 2.... more

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In the given inequality, the integer is greater 1... more

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In the given inequality, the integer is greater ... more

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Divide both sides of the inequality by to change ... more

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Divide both sides of the inequality by 5. ; In the... more

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Add 6 to both sides of the inequality. ; In the ... more

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Subtract 9 from both sides of the inequality. ; In... more

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Multiply both sides of the given inequality by 3... more

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Multiply both sides of the given inequality by 4... more

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Multiply both sides of the inequality by to ... more

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Multiply both sides of the given inequality by 5.... more

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Add to both sides of the inequality.Divide both ... more

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Add to both sides of the inequality.Divide both ... more

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Open the bracket of the left side of the ... more

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Open the bracket of both sides and simplify.... more

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Open the bracket of both side of the inequality ... more

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In the given inequality, the integer is less than ... more

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Multiply all the parts of the inequality by to ... more

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Subtract 3 from each part of the inequality.Divide... more

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Multiply each part of the inequality by 10.... more

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Multiply each part of the inequality by 12.Add 2 ... more

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11 ; Assume the required month to be .Calculate ... more

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More than 5000 dollars ; Let be the amount of ... more

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350 hours ; Let be the required hours.Express the ... more

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130 guests ; Let be the maximum number of guests ... more

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6 hours ; Let the maximum time be hours.Express ... more

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More than 400 garments ; As per the given ... more

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; The given range of the velocity of Object B is ... more

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; Assume that Individual P has traveled miles.... more

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; Let be the score of Individual D on 5th test.... more

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Minimum: 5; Maximum: 7 ; Assume the number of ... more

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; Let the number of gallons be .Calculate the ... more

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; Let be the grade of the final exam.Calculate ... more

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The students answer is , whereas the correct ... more

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graph ; The Cartesian coordinate system is ... more

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; The -intercept of any line is the point at ... more

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; The -intercept of a line is the point at which ... more

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slope ; The change in , the height divided by the ... more

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Plotting points ; If there are two points that ... more

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Two ; If there is only one point, it is not ... more

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; The change in , or height, divided by the ... more

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The given point has the -coordinate 3 and the -... more

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The given point has the -coordinate and the -... more

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The given point has the -coordinate and the -... more

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The given point has the -coordinate 4 and the -... more

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The given point has the -coordinate 0 and the -... more

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The given point has the -coordinate 0 and the -... more

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The given point has the -coordinate 0 and the -... more

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Convert the given mixed number into decimal. ; The... more

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The given point has -coordinate of 4 and -... more

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The given point has -coordinate at 3 and -... more

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The given point has -coordinate at and -... more

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The given point has -coordinate at point 0 and -... more

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The given point has -coordinate at 0 and -... more

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The given point has -coordinate at and -... more

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The given point has -coordinate at 5 and -... more

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The given point has -coordinate at and -... more

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(0,2) ; The point lies on the x-axis. So, the y-... more

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; The horizontal distance of the point is 5 units... more

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; The horizontal distance of the point is 2 units... more

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; The horizontal distance of the point is 3 units... more

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; The horizontal distance of the point is 3 units... more

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; The point lies on the -axis. So, the -... more

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; The horizontal distance of the point is 2 units... more

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; The horizontal distance of the point is 4 units... more

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; The horizontal distance of the point is 2 units... more

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; The horizontal distance of the point is 4 units... more

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; Substitute 5 for and 2 for into the given ... more

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; Substitute 0 for and 5 for into the given ... more

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; Substitute 8 for and 7 for into the given ... more

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; Substitute 2 for and 1 for into the given ... more

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; Substitute 1 for and for into the given ... more

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; Substitute 0 for and for into the given ... more

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; Substitute 8 for and 0 for into the given ... more

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; Substitute 0 for and for into the given ... more

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Undefined ; The given equation of the line ... more

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Undefined ; The given equation of the line ... more

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; The given equation of the line indicates ... more

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; The given equation of line indicates that the ... more

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Select three random values of . Substitute 0 for... more

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Select three random values of .Substitute 0 for ... more

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Select three random values of .Substitute 0 for ... more

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Select three random values of .Substitute 0 for ... more

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Subtract from both sides of the equation. ; ... more

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Add to both sides of the equation. ; Select ... more

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Select three random values of .Substitute for ... more

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Divide both sides of the equation by 3. ; Select ... more

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Select three random values of .Substitute for ... more

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Select three random values of .Substitute for ... more

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Substitute 0 for into the given equation.Solve ... more

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Substitute 0 for into the given equation.Solve ... more

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Substitute 0 for into the given equation.Solve ... more

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Substitute 0 for into the given equation.Solve ... more

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Substitute 0 for into the given equation.Solve ... more

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Substitute 0 for into the given equation.Solve ... more

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Substitute 0 for into the given equation.Solve ... more

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Substitute 0 for into the given equation.Solve ... more

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Substitute 0 for into the given equation.Solve ... more

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Substitute 0 for into the given equation.Solve ... more

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; Let be and be . Plot the points and on the... more

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; Let be and be .Plot the points and on the ... more

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; Let be and be .Plot the points and on the ... more

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; Let be and be .Plot the points and on the ... more

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; Let be and be .Plot the points and on the ... more

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; Let be and be .Plot the points and on the ... more

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Undefined ; Assume to be and to be .Plot the ... more

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Undefined ; Assume to be and to be .Plot the ... more

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; Assume to be and to be .Plot the points and... more

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; Assume to be and to be .Plot the points and... more

**Verified Answer ✓**

The given equation is in the slope-intercept form.... more

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The given equation is in the slope-intercept form.... more

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The given equation is in the slope-intercept form.... more

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The given equation is in the slope-intercept form.... more

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The given equation is in the slope-intercept form.... more

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The given equation is in the slope-intercept form.... more

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First, second, or fourth quadrant The given ... more

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Draw a table to find any three ordered pairs that ... more

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Draw a table to find any three ordered pairs that ... more

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Draw a table to find any three ordered pairs that ... more

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Draw a table to find any three ordered pairs that ... more

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Add to both sides of the first equation.Solve the... more

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Maximum:30; Minimum: 0 ; The vertices of the ... more

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8 ; Substitute 5 for into the given function and ... more

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44 ; Substitute 7 for into the given function and... more

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45 ; Substitute for into the given function and ... more

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35 ; Substitute for into the given function and ... more

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10 ; Substitute for into the given function and ... more

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; ; Find 2 numbers whose sum is 9 and product is ... more

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2; ; Subtract 10 from both sides of the given ... more

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; The factors of 3 are 1 and 3.So, the factors of... more

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; Rewrite the given equation in the standard form... more

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, 8 ; Compare the given equationwith the general ... more

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; Compare the given equationwith the general form... more

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No real solution; as the value inside the square ... more

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; Compare the given equationwith the general form... more

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FunctionDomain: Range: ; From the given graph, it ... more

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Not a function ; Using the vertical line test, ... more

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Not a function ; Using the vertical line test, ... more

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Function Domain: Range: ; Using the vertical line... more

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19 ; Substitute 4 for into the given function and... more

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11 ; Substitute for in the given function and ... more

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66 ; Substitute 5 for into the given function and... more

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; Substitute for into the given function and ... more

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Domain: All real numbersRange: ; Substitute the ... more

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Domain: All real numbersRange: ; Substitute the ... more

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mpg ; Substitute 60 for into the equation .... more

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; Substitute for into the given function and ... more

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; Substitute for into the given equation and ... more

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; Apply the distributive property, , on the ... more

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; Apply the distributive property, , in the given... more

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; Assume the sales per week is dollars.Form an ... more

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; Use the distributive property,,in reverse to ... more

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ft ; Assume isthe proportionality constant for .... more

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Add to both sides of the inequality.Rearrange ... more

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Subtract from both sides of the given equation.... more

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Daily fee: Mileage Charge: ; Let the daily fee ... more

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Write the given inequality in the equation form ... more

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; Rewrite the given equation by taking all the ... more

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; Substitute for into the given function and ... more

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