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1 year ago

The graph of the function f(x) is shown.

Mathematics

1 answer:

Elza [17]1 year ago

8 0

Answer:

x = 2

x = -1.5

Step-by-step explanation:

The graph is of function f(x) = x²

Therefore, to find where the function intersects with y = 0.5x + 3,

equal the functions and solve for x:

⇒ x² = 0.5x + 3

⇒ x² - 0.5x - 3 = 0

Multiply both sides by 2:

⇒ 2x² - x - 6 = 0

Factor:

⇒ 2x² - 4x + 3x - 6 = 0

⇒ 2x(x - 2) + 3(x - 2) = 0

⇒ (x - 2)(2x + 3) = 0

Therefore:

(x - 2) = 0 ⇒ x = 2

(2x + 3) = 0 ⇒ x = -1.5

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Step-by-step explanation:

Given : Sam cut a pie into equal slices.There are only three slices left.The angle measure for the three slices is 72 degrees.

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