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
--00NX-500)² +4,489
You used substitution to obtain the equation
0=-0.01x²10x+1,989
from the system.
7 of 13
What are the solutions to the system of
equations?
(-23,400, 3,400) and (-1,170,170)
(-1,170, -23,400) and (170, 3,400)
(274, 720) and (5,480, 14,520)
(274, 5,480) and (726, 14,520)
DONE

Question

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Respuesta :

MrRoyal MrRoyal · Answer 1 · 2022-06-22T22:06:05+02:00

The solutions to the system of equations are (b) (-1,170, -23,400) and (170, 3,400)

The attached image represents the proper format of the question

The equations are given as:

y = -0.01(x - 500)² + 4489

y = 20x

According to the question;

When y = 20x is substituted in the first equation, the equation becomes

0 = -0.01x² - 10x + 1989

Rewrite as:

-0.01x² - 10x + 1989 = 0

Next, we solve using a statistical calculator.

From the calculator, we have:

x = -1170 and x = 170

Substitute x = -1170 and x = 170 in y = 20x

y = 20 * -1170 = -23400

y = 20 * 170 = 3400

Hence, the solutions to the system of equations are (b) (-1,170, -23,400) and (170, 3,400)

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