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Helga [31]
3 years ago
5

Simplify. —7.5 × (2 — 1.9) + 3 Enter your answer in the box

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
4 0
-7.5 x (2-1.9) + 3 = 2.25
ahrayia [7]3 years ago
3 0
Your answer wil be ●2.25● Hope This Helped
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Answer:

\large\boxed{x\in(-2,\ 2)}

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Calculate the zeros of the derivative:

f'(x)=0\Rightarrow12-3x^2=0\qquad\text{add}\ 3x^2\ \text{to both sides}\\\\3x^2=12\qquad\text{divide both sides by 3}\\\\x^2=4\to x=\pm\sqrt4\\\\x=\pm2

Let's check the derivative sign:

f'(x)>0\iff12-3x^2>0\qquad\text{use the distributive property}\\\\-3(x^2-4)>0\\\\-3(x^2-2^2)>0\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\-3(x-2)(x+2)>0\\^{\qquad x=2\qquad x=-2

Sketch a parabola open down

(before the brackets there is the number -3 < 0)

Look at the picture.

Where the derivative is negative, the function decreases.

Where the derivative is positive, the function increases.

Therefore your answer is:

x\in(-2,\ 2)

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