Solve the equation y + 6 = -3y +29

y = 23/4

Step-by-step explanation:

y + 6 = -3y +29

Add 3y to each side

y+3y + 6 = -3y+3y +29

4y+6 = 29

Subtract 6 from each side

4y +6-6 = 29-6

4y = 23

Divide by 4

4y/4 = 23/4

y = 23/4

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

Step-by-step explanation:

Given the following functions

R(x) = 2x^4 – 3x^3 + 2x – 1 and

C(x) = x^4 – x^2 + 2x + 3

We are to find the profit function P(x)

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

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

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

Collect the like terms

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

P(x) = x^4-3x^3+x^2+0-4

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

Hence the required profit function P(x) is x^4-3x^3+x^2-4