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s344n2d4d5 [400]
3 years ago
9

If f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2, find f(x) – g(x). Answer: x^2 - 4x + 3

Mathematics
1 answer:
Nadusha1986 [10]3 years ago
5 0

Answer:

f(x) – g(x) = x^2 - 4x + 3

Step-by-step explanation:

f(x) = 3x^2 - 4x + 5 and g(x) = 2x^2 + 2,

f(x) – g(x) = 3x^2 - 4x + 5 - ( 2x^2 + 2)

Distribute the minus sign

f(x) – g(x) = 3x^2 - 4x + 5 - 2x^2 - 2

  Combine like terms

f(x) – g(x) = x^2 - 4x + 3

 

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During the spring you do yard cleanup for households and you also paint houses you earn $8 an hour cleaning up and $12 an hour p
Andre45 [30]

Answer: you spent 250 hours during your cleanup.

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Step-by-step explanation:

Let x represent the number of hours that you spent during your cleanup.

Let y represent the number of hours that you spent painting.

you earn $8 an hour cleaning up and $12 an hour painting last summer and you earned $3800 . it means that

8x + 12y = 3800- - - - - - - - - -- 1

You worked a total of 400 hours. This means that

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Substituting x = 400 - y into equation 1, it becomes

8(400 - y) + 12y = 3800

3200 - 8y + 12y = 3800

- 8y + 12y = 3800 - 3200

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y = 600/4 = 150 hours

Substituting y = 150 into x = 400 - y, it becomes

x = 400 - 150

x = 250 hours

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