Which equation is the inverse of 2(x - 2)^2 = 8(7 + y)?

answer:

Step-by-step explanation:

The given expression is 

2(x - 2)² = 8(7 + y)

Rewrite the expression as follows:

7 + y = (2/8)*(x-2)² = (1/4)*(x-2)²

y = (1/4)(x-2)² - 7

To find the inverse, switch x and y, and solve for y.

x = (1/4)(y-2)² - 7

Multiply through by 4.

4x = (y-2)² - 28

(y-2)² = 4x + 28

y - 2 = √(4x + 28)

y = 2 +/- √(4x + 28)

This expression is the inverse of the given expression.

answer: 

18.75 gallons

step-by-step explanation: