What are the x-intercepts of the function y = 22 -x - 120? Check all that apply. O (-120. 0) O (-11.466, 0) O (-10.466, 0) O (0,

Question

2 years ago

8

-120) (10.466, 0) O (11.466, 0)

1 answer:

MrRissso [65] · Answer 1 · 2023-09-17T08:20:13+03:00

The x-intercepts of the function y = 2x^2 -x - 120 are (-7.5, 0) and (8, 0)

<h3>How to determine the x-intercept?</h3>

The function is given as:

y = 2x^2 - x - 120

Set the function to 0

2x^2 - x - 120 = 0

Factor out 2

2(x^2 - 0.5x - 60) = 0

Divide by 2

x^2 - 0.5x - 60 = 0

Expand the function

x^2 + 7.5x - 8x - 60 = 0

Factorize the function

(x + 7.5)(x - 8) = 0

Split

x + 7.5 = 0 and x - 8 = 0

Solve for x

x = -7.5 and x = 8

Hence, the x-intercepts of the function y = 2x^2 -x - 120 are (-7.5, 0) and (8, 0)