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balandron [24]
3 years ago
12

the revenue, in dollars, of a company that produces video game systems can be modeled by the expression 5x2 2x – 80. the cost, i

n dollars, of producing the video game systems can be modeled by 5x2 – x 100, where x is the number of video game systems sold. if profit is the difference between the revenue and the cost, what expression represents the profit?
Mathematics
2 answers:
AleksandrR [38]3 years ago
5 0
5x=2=7-110 that is your answer.
bekas [8.4K]3 years ago
5 0

Answer:

The expression that represents the profit is p(x) =3x-180

Step-by-step explanation:

The Profit function P(x) is the difference between the Revenue function R(x) and the Cost function C(x)

P(x) = R(x)-C(x)

Finding the profit function.

For this exercise the revenue is given by

R(x) = 5x^2+2x-80

And the cost function is modeled by

C(x) = 5x^2-x+100

Thus the profit function is

P(x) = 5x^2+2x-80- (5x^2-x+100)

Distributing the negative sign.

P(x) = 5x^2+2x-80- 5x^2+x-100

Combining like terms to finally get the simplified profit function

\boxed{P(x) = 3x-180}

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