Question

You used substitution to obtain the equation 0 = -0.01x2-10x+1,989 from the system. What are the solutions to the system of equations?

Answer 1

Answers:

The first equation in the following system gives the company's cost of making x purses. The second equation gives the company's income for selling x purses.

y= -0.01(x-500)^2+4,489

y= 20x

You used substitution to obtain the equation

0 = -0.01x2-10x+1,989 from the system.

What are the solutions to the system of equations?

(-1,170, -23,400) and (170, 3,400).

The solution (-1170, -23,400) should be eliminated in the context of this situation.

The company will break even when its cost of making x purses equals its income for selling x purses. The company must make and sell 170 purses to break even.

Answer 2

A graph shows the solutions to be
  x ∈ {-1170, 170}