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3 years ago

Factor 9x6 – 16 y completely.

Mathematics

1 answer:

sveticcg [70]3 years ago

6 0

Answer:

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

Step-by-step explanation:

9x^6 – 16 y^6

Rewriting as

(3x^3) ^2 - ( 4y^3) ^2

This is the difference of squares a^2 - b^2 = (a-b)(a+b)

(3x^3 - 4y^3) ( 3x^3 + 4y^3)

You might be interested in

Two-fifths equals how many thirds

kifflom [539]

Let the number of thirds be x.

(2/5) = x(1/3)

2/5 = x/3

x/3 = 2/5

x = 2/5 * 3

x = 6/5

x = 1.2

Two-fifths equals 1.2 thirds

8 0

2 years ago

HELP PLEASE 80 POINTS

alexgriva [62]

Answer:

x = 15/p
x = -3

Step-by-step explanation:

<h3>Given</h3>

4(px + 1)=64

Solve for x
Find x when p = -5

<h3>Solution</h3>

4(px + 1) = 64
4(px + 1)/4 = 64/4
px + 1 = 16
px = 15
x = 15/p

<u>When p = -5, substitute p:</u>

x = 15/p
x = 15/(-5) = -3

4 0

2 years ago

Read 2 more answers

I need help I can’t figure it out

dusya [7]

Answer:

$\large\boxed{\dfrac{41p}{70q^4(r-9)^2}}$

Step-by-step explanation:

$\dfrac{2p^4}{5q^5(r-9)^3}\cdot\dfrac{41q(r-9)}{28p^3}\\\\=\dfrac{2\!\!\!\!\diagup^1\cdot41}{5\cdot28\!\!\!\!\!\diagup_{14}}\cdot\dfrac{q\!\!\!\!\diagup}{q^{5\!\!\!\!\diagup^4}}\cdot\dfrac{(r\!\!\!\!\!\!{--}-9)\!\!\!\!\!\!{--}}{(r-9)^{3\!\!\!\!\diagup^2}}\cdot\dfrac{p^{4\!\!\!\!\diagup}}{p^3\!\!\!\!\!\!\diagup}\\\\=\dfrac{41}{70}\cdot\dfrac{1}{q^4}\cdot\dfrac{1}{(r-9)^2}\cdot\dfrac{p}{1}\\\\=\dfrac{41p}{70q^4(r-9)^2}$

7 0

2 years ago

The owners of an industrial plant want to determine which of two types of fuel (gas or electricity) will produce more useful ene

madreJ [45]

Answer:

d. H0: $(\mu_e - \mu_g) = 0$ vs. $Ha: (\mu_e - \mu_g) \neq 0$

Step-by-step explanation:

A hypothesis is defined as "a speculation or theory based on insufficient evidence that lends itself to further testing and experimentation. With further testing, a hypothesis can usually be proven true or false".

The null hypothesis is defined as "a hypothesis that says there is no statistical significance between the two variables in the hypothesis. It is the hypothesis that the researcher is trying to disprove".

The alternative hypothesis is "just the inverse, or opposite, of the null hypothesis. It is the hypothesis that researcher is trying to prove".

On this case the Management try to determine if there is a difference in the average investment/quad between using electricity and using gas. So this needs to be on the alternative hypothesis. And the complement of the alternative hypothesis would be on the null hypothesis.

Null hypothesis : $\mu_e = \mu_g$