Question

A car dealership manager has determined that the profit, in thousands of dollars, of the dealership can be determined by the expression LaTeX: x^2-4xL a T e X : x 2 − 4 x, where LaTeX: xL a T e X : x is the number of cars sold. A different manager states that the profit of the dealership can be determined by the function LaTeX: 5xL a T e X : 5 x. What number of cars sold makes the equation LaTeX: x^2-4x=5xL a T e X : x 2 − 4 x = 5 x true? Select all that apply.

Answer 1

Answer:

The number of cars that brings the same profit is 9 and 0

Step-by-step explanation:

Given

$x^2 - 4x = 5x$

Required

Determine the possible values of x

$x^2 - 4x = 5x$

Subtract 5x from both sides

$x^2 - 4x - 5x = 5x - 5x$

$x^2 - 9x = 0$

Factorize

$x(x - 9)= 0$

Split the equation

$x = 0$         or        $x - 9 = 0$

$x = 0$         or        $x = 9$

Hence, the number of cars that brings the same profit is 9 and 0