3 years ago

Write (8a^-3)^-2/3 in simplest form.

Mathematics

1 answer:

fredd [130]3 years ago

4 0

The exponent outside parentheses multiplies the one inside parentheses.

$8a^{-3\times \frac{-2}{3}} = 8a^{2}$

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IrinaK [193]

26 26 29 30 31 33 33 33 34 34 70

A.
Mean:30.9
Add all numbers up and divide by however many there are.
Median:32
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Mode:33
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B.
Mean:34.45
Median:33
Mode:33

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3 years ago

Lilian has 42 feet of yarn. She wants to cut the yarn into 8 equal parts. How long will each part be?

GrogVix [38]

Answer:

A. Five and two eighths feet.

Step-by-step explanation:

42 (feet of yarn) ÷ 8 (equal parts) = 5.25 (feet of yarn that each part is)

5.25 =

$5 \frac{1}{4}$

$5 \frac{2}{8}$

because 1/4 = 2/8.

Hope this helps!

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3 years ago

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A hot air ballon descends at a rate of 320 feet per minute for 3 minutes. Use integers to calculate and represent the balloon's

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You multiply 320 by 3 and the answer is 960

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nalin [4]

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Find the x-intercept(s) of y = 2x2 - 3x - 5.<br> A) -5 <br> B) 2 1/2, -1<br> C) 3, -5 <br> D) 5, -1

Alexus [3.1K]

Answer:

$\large\boxed{B)\ 2\frac{1}{2},\ -1}$

Step-by-step explanation:

x-intercepts are for y = 0.

We have the equation:

$y=2x^2-3x-5$

Therefore

$2x^2-3x-5=0\\\\2x^2+2x-5x-5=0\\\\2x(x+1)-5(x+1)=0\\\\(x+1)(2x-5)+0\iff x+1=0\ \vee\ 2x-5=0\\\\x+1=0\qquad\text{subtract 1 from both sides}\\\boxed{x=-1}\\\\2x-5=0\qquad\text{add 5 to both sides}\\2x=5\qquad\text{divide both sides by 2}\\\boxed{x=2\frac{1}{2}}$

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3 years ago