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Marta_Voda [28]
3 years ago
8

The revenue, in dollars, of a company that makes toy cars can be modeled by the polynomial 3x^2 + 4x – 60. The cost, in dollars,

of producing the toy cars can be modeled by 3x^2 – x + 200. The number of toy cars sold is represented by x.
If the profit is the difference between the revenue and the cost, what expression represents the profit?
3x – 260
3x + 140
5x – 260
5x + 140
Mathematics
2 answers:
ki77a [65]3 years ago
5 0
<h2>Answer:</h2>

The expression which represents profit is:

                             5x-260

<h2>Step-by-step explanation:</h2>

The number of toy cars sold is represented by: x.

Now, the revenue, in dollars of a company is given by the polynomial function:

R(x)=3x^2+4x-60

and the cost, in dollars of producing the toy car is given by the polynomial expression:

C(x)=3x^2-x=200

Also, let P(x) denote the profit function.

It is given that:

Profit is the difference between the revenue and the cost.

i.e.

Profit=R(x)-C(x)\\\\i.e.\\\\P(x)=R(x)-C(x)\\\\i.e.\\\\P(x)=3x^2+4x-60-(3x^2-x+200)

( Now we know that if the sign before the parentheses is negative then the terms inside the parentheses open up with opposite signs)

i.e.

P(x)=3x^2+4x-60-3x^2+x-200\\\\i.e.\\\\P(x)=3x^2-3x^2+4x+x-6-200

( Since, on combining the like terms)

i.e.

P(x)=5x-260

klasskru [66]3 years ago
3 0
Hello,

P(x)=3x²+4x-60-(3x²-x+200)=5x-260

Answer C
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