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Answered

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


Enter a value of x where f(x) and the equation y = 0.5x + 3 intersect.

The Graph Of The Function Fx Is Shown Enter A Value Of X Where Fx And The Equation Y 05x 3 Intersect class=

Sagot :

semsee45

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

View image semsee45
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