3 years ago

What is √18x^6 written in simplest for? assume all variables are positive.

Mathematics

1 answer:

Nadya [2.5K]3 years ago

3 0

Your answer should be C. 3x^3√2

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When a circle's diameter is 1, its circumference is π.

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A 3-gallon bucket of paint costs $103.68. What is the price per cup?

prohojiy [21]

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Jack's house is located at the origin (0,0). He walks 2 blocks right. Then, he walks 6 blocks up. Finally, he walks 3 blocks rig

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2 years ago

the value of c guaranteed to exist by the Mean Value Theorem for V(x) = x² in the interval [0, 3] is...? a) 1 b) 2 c) 3/2 d) 1/2

lilavasa [31]

Answer: c) $\dfrac{3}{2}$ .

Step-by-step explanation:

Mean value theorem : If f(x) is defined and continuous on the interval [a,b] and differentiable on (a,b), then there is at least one number c in the interval (a,b) (that is a < c < b) such that

$\begin{displaymath}f'(c) = \frac{f(b) - f(a)}{b-a} \cdot\end{displaymath}$

Given function : $f(x) = x^2$

Interval : [0,3]

Then, by the mean value theorem, there is at least one number c in the interval (0,3) such that

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$\Rightarrow\ f'(c)=3\ \ \ ...(i)$

Since $f'(x)=2x$

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From (i) and (ii), we have

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Hence, the correct option is c) $\dfrac{3}{2}$ .

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3 years ago

What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?Step 1: –10 + 8x < 6x – 4

DanielleElmas [232]

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3 years ago

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