F(x) = 4x^3 + 7x^2-2x-1

G(x) = 4x-2

Find (f-g)(x)

(f - g)(x) = 4x³ + 7x² - 6x + 1

General Formulas and Concepts:

Pre-Algebra: Distributive Property

Algebra I: Combining Like Terms

Explanation: Step 1: Define

f(x) = 4x³ + 7x² - 2x - 1

g(x) = 4x - 2

(f - g)(x) is f(x) - g(x)

Step 2: Find (f - g)(x)

Substitute:                              (f - g)(x) = 4x³ + 7x² - 2x - 1 - (4x - 2)

Distributive -1:                         (f - g)(x) = 4x³ + 7x² - 2x - 1 - 4x + 2

Combine like terms:              (f - g)(x) = 4x³ + 7x² - 6x + 1

use an equation of ratios to determine the amount of gas needed to fill the tank.

    0.2             0.8

  =    

288.75             x

                                                              231 gal

so, 0.2x = (0.8)(288.75 gal), and x = = 1155 gal.

                                                                0.2

it would take 1155 gal. to fill the tank.

the cost would be

1155 gal         $3

* = $3465   (answer)

      1           1 gal

hope this you