4 years ago

Which expression is equivalent to (2x^4 y)^3 PLEASE HURRY!!!

Mathematics

1 answer:

Tema [17]4 years ago

5 0

Answer:

8x¹²y³

Step-by-step explanation:

(2x⁴y)³ Cube everything inside parentheses.

= 2² × (x⁴)³ × y³

= 8x¹²y³

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5. In the figure, . Solve for . Show your work.

natima [27]

Answer:

Step-by-step explanation:

6/10=9/x

cross multiply

6x=9*10

6x=90

x=90/6x=15

3 0

4 years ago

How to evaluate the limit

anzhelika [568]

$\displaystyle\lim_{x\to2}\frac{x^2-x+6}{x+2}$

Both the numerator and denominator are continuous at $x=2$ , which means the quotient rule for limits applies:

$\dfrac{\displaystyle\lim_{x\to2}(x^2-x+6)}{\displaystyle\lim_{x\to2}(x+2)}=\dfrac{2^2-2+6}{2+2}=\dfrac84=2$

Perhaps you meant to write that $x\to-2$ instead? In that case, you would have

$\displaystyle\lim_{x\to-2}\frac{x^2-x+6}{x+2}=\lim_{x\to-2}\frac{(x+2)(x-3)}{x+2}=\lim_{x\to-2}(x-3)=-2-3=-5$