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natali 33 [55]
2 years ago
8

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

Mathematics
1 answer:
Elza [17]2 years 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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The quotient of a number x and −1.5  is 21
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<u><em>Answer:</em></u>

x = -31.5

<u><em>Explanation:</em></u>

We are given that the quotient of x and -1.5 is 21

<u>This means that:</u>

\frac{x}{-1.5} =21

To get the value of x, we will multiply both sides of the equation by -1.5

<u>This means that:</u>

\frac{x}{-1.5} * -1.5=21*-1.5

x = -31.5

<u>Note that</u> the value of x must be negative because we are dividing by a negative number and the quotient is positive (-ve/-ve is +ve and +ve/-ve is -ve)

Hope this helps :)

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