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3 years ago

PLEASE HELP ASAP!!! CORRECT ANSWER ONLY PLEASE!!!

Mathematics

2 answers:

Mrrafil [7]3 years ago

7 0

The answer is D, (x + 1) (x + 2) (x - 3)

balandron [24]3 years ago

6 0

Answer: D) (x + 1))x + 2)(x - 3)

<u>Step-by-step explanation:</u>

The x-intercepts help us to form the equation of the curve:

(-2, 0) (-1, 0) and (3, 0)

--> x = -2, x = -1, x = 3

--> x + 2 = 0 x + 1 = 0 x - 3 = 0

--> (x + 2) × (x + 1) × (x - 3) = 0

<em>This is the reverse order for the Zero Product Property</em>

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When does the value of f(x) = (1/2)x equal the value of g(x) =2x+8?

$f(x)=g(x)\iff\dfrac{1}{2}x=2x+8\qquad|\text{subtract}\ 2x\ \text{from bpoth sides}\\\\\dfrac{1}{2}x-2x=2x-2x+8\\\\-1\dfrac{1}{2}x=8\qquad|\text{convert the mixed number to the improper fraction}\\\\-\dfrac{2\cdot1+1}{2}x=8\\\\-\dfrac{3}{2}x=8\qquad\text{multiply both sides by}\ -\dfrac{2}{3}\\\\\left(-\dfrac{2\!\!\!\!\diagup}{3\!\!\!\!\diagup}\right)\left(-\dfrac{3\!\!\!\!\diagup}{2\!\!\!\!\diagup}x\right)=\left(-\dfrac{2}{3}\right)\cdot8\\\\x=-\dfrac{2\cdot8}{3}\\\\x=-\dfrac{16}{3}$

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