Profit, P(x), is the difference between revenue, R(x), and cost, C(x), so P(x) = R(x) - CC). Which
expression represents P(x), if R(I) = 224 – 3x3 + 2x – 1 and C(x) = 24 – + 22 + 3?
3.14 - 31" - 22 + 4x + 2
** _ 3.7? _ 22 +42 + 2
I _ 313 + x² - 4
208_32
I NEED HELP ASAP

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zlskfrum zlskfrum · Answer 1 · 2021-05-25T18:46:52+02:00

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.

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abcdefdfgfghh abcdefdfgfghh · Answer 2 · 2021-05-25T19:21:46+02:00

Answer:

[tex]P(x)=x^4-3x^3+x^2-4[/tex]

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

Step-by-step explanation:

When given the following functions,

[tex]R(x)=2x^4-3x^3+2x-1[/tex]

[tex]C(x)=x^4-x^2+2x+3[/tex]

The problem asks one to find ([tex]P(x)[/tex]), moreover, one is given the following information,

[tex](P(x))=(R(x))-(C(x))[/tex]

Substitute,

[tex]P(x)=(2x^4-3x^3+2x-1)-(x^4-x^2+2x+3)[/tex]

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

[tex]P(x)=2x^4-3x^3+2x-1-x^4+x^2-2x-3[/tex]

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

[tex]P(x)=x^4-3x^3+x^2-4[/tex]