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Elden [556K]
3 years ago
7

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

x) = 2x ^4-3x^3+2x-1 and c(x)=x^4-x^2+2x+3
Mathematics
1 answer:
siniylev [52]3 years ago
4 0

Answer:

P(x)= x ^4-3x^3+x^2-4    

Step-by-step explanation:

Given data

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

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

We know that

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

Hence

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

open bracket

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

Collect like terms

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

P(x)= x ^4-3x^3+x^2-4    

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Given the triangle that has a base of five less than triple the height. The height is 2x+6.
Deffense [45]

Answer:

<h3>          A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78</h3>

Step-by-step explanation:

H = 2x+6          - the hight

3H = 3(2x+6)      - triple the hight

3H-5 = 3(2x+6) - 5    -  five less than triple the height

Area of triangle:  A = 0.5BH

B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13

H = 2x+6

So:

    A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78

    A = 6x² + 49x + 78

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The greatest common factor is the largest factor that both terms share.

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Next we move to the variables, abc and a²b²c³. The largest factor the both share is abc, all to the power of 1.

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Answer:

The number is 9.

Step-by-step explanation:

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First, let's add 3x to both sides.

80 - 3x + 3x = 5x + 3x + 8

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Next, let's subtract 8 from both sides.

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40,33,37,54,41,34,27,39,35

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