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3 years ago

( −2 x^3) ^ 3 simplify

Mathematics

2 answers:

Leni [432]3 years ago

8 0

Your answer is -8x^9

densk [106]3 years ago

5 0

Answer:

$-8x^9$

Step-by-step explanation:

We can split up the exponent into multiple products: $(-2x^3)^3=(-2)^3*(x^3)^3$ .

We know that $(-2)^3=(-2)*(-2)*(-2)=-1*-1*-1*2*2*2=-1*8=-8$ .

We also know that $(x^3)^3=x^{3*3}=x^9$ .

So, our answer is $\boxed{-8x^9}$ and we're done!

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Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls. 4 5 of this amount is blue paint, and the rest i

Y_Kistochka [10]

Given:

Sharon uses 6.3 pints of blue paint and white paint to paint her bedroom walls.

$\dfrac{4}{5}th$ of this amount is blue paint and the rest is white paint.

To find:

The pints of white paint did she use to paint her bedroom walls.

Solution:

We have,

Total paint used = 6.3 pints

Blue paint = $\dfrac{4}{5}th$ of total paint used

= $\dfrac{4}{5}\times 6.3$

= $5.04$

White paint = Total paint used - Blue paint

= $6.3-5.04$

= $1.26$

Therefore, Sharon uses 1.26 pints of white paint to paint her bedroom walls.

5 0

3 years ago

The graph of f(x) = x^2 has been shifted into the form f(x) = (x − h)^2 + k

stepan [7]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\\\
% left side templates
\begin{array}{llll}
f(x)=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
y=&{{ A}}({{ B}}x+{{ C}})+{{ D}}
\\ \quad \\
f(x)=&{{ A}}\sqrt{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}}(\mathbb{R})^{{{ B}}x+{{ C}}}+{{ D}}
\\ \quad \\
f(x)=&{{ A}} sin\left({{ B }}x+{{ C}} \right)+{{ D}}
\end{array}\\\\
--------------------\\\\$

$\bf \bullet \textit{ stretches or shrinks horizontally by } {{ A}}\cdot {{ B}}\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if }{{ B}}\textit{ is negative}\\
\left. \qquad \right. \textit{reflection over the y-axis}$

$\bf \bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\left. \qquad \right. if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by }{{ D}}\\
\left. \qquad \right. if\ {{ D}}\textit{ is negative, downwards}\\\\
\left. \qquad \right. if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{{{ B}}}$

with that template in mind, let's see, it went to the right 2 units, and then up 3 units.

that simply means, C = -2, D = 3.

8 0

3 years ago

A particular baseball player has a batting average (number of hits/number of times at bat) of 0.364. What is the probability tha

MAXImum [283]

The correct answer is option (c) <span>P(not a hit) = 0.636

</span>The batting average of the baseball player = $\frac{number of hits}{number of times at bat}$ = 0.364

Now, the probability of occurrence of any event is say, P, the probability of not occurrence of the event is given as = 1 - P

Therefore, <span>the probability that he will not get a hit at his next at bat = 1- 0.364 = 0.636</span>

6 0

3 years ago

You are required to choose two topics from a list of five to write about on your science test. How many different pairings are p

marissa [1.9K]

A B C D E represent the subjects

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A+B2

A+C3

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B+B6

B+C7

B+D8

B+E9

C+C10

C+D11

C+E12

D+D13

D+E14

E+E15

15 combos

7 0

3 years ago

Read 2 more answers

What is this plz help me idk

dalvyx [7]

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6 0

4 years ago