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2 years ago

Find the simplified product ^3V9x^4 x ^3V3x^8

1 answer:

8 0

$\sqrt[3]{9x^4}\cdot \sqrt[3]{3x^8}\implies \sqrt[3]{(9x^4)(3x^8)}\implies \sqrt[3]{27x^{4+8}}\implies \sqrt[3]{27x^{12}} \\\\\\ \sqrt[3]{3^3(x^4)^3}\implies 3x^4$

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Use the graph below to answer the following question:

larisa [96]

ANSWER

B) -1

EXPLANATION

From the graph,

f(1)=3 and f(4)=0.

The average rate of change from x=1 to x=4 of this function is,

$= \frac{f(4) - f(1)}{4 - 1}$

Substitute the functional values

$= \frac{0 - 3}{3}$

Simplify

$= \frac{-3}{3} = -1$

The correct choice is .

5 0

3 years ago

Read 2 more answers

PLEASE HELP!! its due in 20 minutes and i dont get this

Goryan [66]

Answer:

Please see below :)

Step-by-step explanation:

The slope is just what's in front of the x!

So:

1.) slope = -1/4

2.) slope = undefined

3.) slope = -9

4.) slope = 9/2

Hope this helps!

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3 years ago

Read 2 more answers

What is the solution of -6 + a = 22? A 28 B. -28 0 C. 16 D. -16

KatRina [158]

Answer:

A.28

Step-by-step explanation:

Substitute a with 28 so:

-6+28=22

Then simplify the equation:

22=22

6 0

2 years ago

Jim and Sarah are running for class president. Cayla and Daniel are running for Vice President. What combinations of president a

murzikaleks [220]

Jim and Sarah are running for a president and Cayla and Daniel are running for a vice president.Combinations are:Jim (P) - Cayla (VP)Jim (P) - Daniel (VP)Sarah (P) - Cayla (VP)Sarah (P) - Daniel (VP)In total: 4 combinations.

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3 years ago

What is the factorization of 729^15+1000

Nesterboy [21]

$\bf \textit{difference and sum of cubes} \\\\ a^3+b^3 = (a+b)(a^2-ab+b^2) \\\\ a^3-b^3 = (a-b)(a^2+ab+b^2) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} 729=27^2\\ \qquad (3^3)^2\\ 1000=10^3 \end{cases}\implies 729^{15}+1000\implies ((3^3)^2)^{15}+10^3 \\\\\\ ((3^2)^{15})^3+10^3\implies (3^{30})^3+10^3\implies (3^{30}+10)~~[(3^{30})^2-(3^{30})(10)+10^2] \\\\\\ (3^{30})^3+10^3\implies (3^{30}+10)~~~~[(3^{60})-(3^{30})(10)+10^2]$

now, we could expand them, but there's no need, since it's just factoring.

3 0

3 years ago