Question

Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - CC). Which

Answer 1

Answer:

Step-by-step explanation:

Profit, P(x), is the difference between revenue, R(x), and cost, C(x)

R(x) = 2x^4 - 3x^3 + 2x - 1

C(x) = x^4 -x^2 + 2x + 3

Substituting into the equation

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

= (2x^4 - 3x^3 + 2x - 1) - (x^4 -x^2 + 2x + 3)

= x^4 - 3x^3 + x^2 - 4

The answer is the lower left option.

Answer 2

Answer:

$P(x)=x^4-3x^3+x^2-4$

(This is the option found in the lower-left corner)

Step-by-step explanation:

When given the following functions,

$R(x)=2x^4-3x^3+2x-1$

$C(x)=x^4-x^2+2x+3$

The problem asks one to find ($P(x)$), moreover, one is given the following information,

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

Substitute,

$P(x)=(2x^4-3x^3+2x-1)-(x^4-x^2+2x+3)$

Simplify, multiply everything in the second parenthesis by the negative sign outside of it,

$P(x)=2x^4-3x^3+2x-1-x^4+x^2-2x-3$

Combine like terms, only operations between coefficients of the same variable with the same degree (exponent) can be performed,

$P(x)=x^4-3x^3+x^2-4$