All categories

3 years ago

(3x)^2 write in expanded form use parentheses to indicate multiplication

Mathematics

1 answer:

Korolek [52]3 years ago

6 0

Expand (3x)^2

When you see ^2, it means that the term(s) inside the parenthesis should be copied once, and multiplied.

(3x)^2 = (3x)(3x)

(3x)(3x) is your expanded form

<em>~Rise Above the Ordinary</em>

You might be interested in

Describe the graph of y={1/(2x-10)}-3 compared to the graph of y=1/x

tester [92]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)= A( Bx+ C)+ D
\\\\
~~~~y= A( Bx+ C)+ D
\\\\
f(x)= A\sqrt{ Bx+ C}+ D
\\\\
f(x)= A(\mathbb{R})^{ Bx+ C}+ D
\\\\
f(x)= A sin\left( B x+ C \right)+ D
\\\\
--------------------$

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

$\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\
~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by } D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{ B}$

with that template in mind, let's check these two

$\bf \stackrel{parent}{y=\cfrac{1}{x}}\qquad \qquad\qquad \qquad \stackrel{transformed}{y=\cfrac{1}{\stackrel{B}{2}x\stackrel{C}{-10}}\stackrel{D}{-3}}\\\\
-------------------------------\\\\
B=2\qquad \textit{shrinks horizontally by }\frac{1}{2}
\\\\\\
C=-10\qquad \cfrac{C}{B}=\cfrac{-10}{2}\implies -5\qquad \textit{horizontally right-shifted by }5
\\\\\\
D=-3\qquad \textit{vertically down-shifted by }3$

7 0

3 years ago

Compute the average number of units consumed: 504, 519, 576, 321, 256, 101, 76, 75, 127, 289, 367, and 511.

Komok [63]

The answer is about 310.17. Just have to add them all together and than divide by 12.

3 0

3 years ago

Read 2 more answers

WILL MARK BRAINLEIST

lina2011 [118]

Answer:

decrease by 50%

Step-by-step explanation:

$\frac{0.4x}{0.8y} =\frac{x}{2y}$

Decreased by 60% = (100%-60%)x = 0.4x.

Decreased by 20% = (100%-20%)x = 0.8x.

$\frac{x}{y}$ initial fraction, and we can see that denominator will increase 2 times, so fraction will decrease 2 times, or decrease by 50%.

6 0

3 years ago

X + 11 < 6 <br> Solve and graph on a number line

Drupady [299]

Answer & Step-by-step explanation:

So I can't exactly graph exactly, but I'll try...

To solve:

x+11<6 Subtract 11 on both sides.

x<-5

To graph:

<-------|---------o---------|-------->

-6 -5 -4

(The bolded part of the line is the side you shade the graph on. In case you can't see it, you have to shade the left side of the open circle.)

Hope this helps! Have an awesome day ( • ω • )^

4 0

3 years ago

What the heck do i do with this

Ad libitum [116K]

Use the law of cosines to find a: $a^2=b^2+c^2-2bc (cos(A))$

So to use the given numbers you get: $a^2=27^2+45^2-2(27)(45)(cos(53))$

Which would come out to equal about 35.94

so a=35.9

7 0

3 years ago

Read 2 more answers