Unit 5 Homework
Please show all necessary work for full credit. 1.) Evaluate the expression for the given values: 2x2−8xy+3y2,forx=−3andy=2
2(-3)2 – 8(-3)(2) + 3(2)2
2(9) + 48 + 3(4)
18 + 48 + 12 = 78
answer: 78____
2.) The formula W=0.69g2−0.01g+7.9 models the weight, W, in ounces, for a cat who is fed
g grams per day of a special food. According to the formula, how much will a cat weigh when it is fed 6 grams of the special food per day? Round to the nearest hundredth. W = 0.69(15)2 – 0.01(15) + 7.9
0.69(225) – 0.15 + 7.9 = 155.25 – 0.15 + 7.9
155.25 – 0.15 + 7.9 = 163
answer: ___163_oz. Simplify the algebraic expression.
3.) 3(−2x2−5(−x+4)) 4.) −(3x−2)−5x+9
3(-2x2 + 5x – 20) = -6x2 + 15x – 60 -3x + 2 – 5x + 9 (-3x – 5x) + (2 + 9) = -8x + 11 answer: _-6x2 + 15x – 60__ answer: - 8x + 11 5.) The sum of two consecutive odd integers 6.) Write the phrase as an algebraic is 540. What are the integers? expression: 3 less than 4 times a number
x + x + 2 = 540 2x = 538 x = 269 answer: _269 and 271___ answer: ___4x – 3 __This study source was downloaded by 100000829050058 from CourseHero.com on 10-05-2021 16:43:43 GMT -05:00
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Please show all necessary work for full credit. 1.) Evaluate the expression for the given values: 2x2−8xy+3y2,forx=−3andy=2
2(-3)2 – 8(-3)(2) + 3(2)2
2(9) + 48 + 3(4)
18 + 48 + 12 = 78
answer: 78____
2.) The formula W=0.69g2−0.01g+7.9 models the weight, W, in ounces, for a cat who is fed
g grams per day of a special food. According to the formula, how much will a cat weigh when it is fed 6 grams of the special food per day? Round to the nearest hundredth. W = 0.69(15)2 – 0.01(15) + 7.9
0.69(225) – 0.15 + 7.9 = 155.25 – 0.15 + 7.9
155.25 – 0.15 + 7.9 = 163
answer: ___163_oz. Simplify the algebraic expression.
3.) 3(−2x2−5(−x+4)) 4.) −(3x−2)−5x+9
3(-2x2 + 5x – 20) = -6x2 + 15x – 60 -3x + 2 – 5x + 9 (-3x – 5x) + (2 + 9) = -8x + 11 answer: _-6x2 + 15x – 60__ answer: - 8x + 11 5.) The sum of two consecutive odd integers 6.) Write the phrase as an algebraic is 540. What are the integers? expression: 3 less than 4 times a number
x + x + 2 = 540 2x = 538 x = 269 answer: _269 and 271___ answer: ___4x – 3 __This study source was downloaded by 100000829050058 from CourseHero.com on 10-05-2021 16:43:43 GMT -05:00
https://www.coursehero.com/file/66622170/week-5-mathsdocx/This study resource was
shared via CourseHero.com
