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3 years ago

Tyra solves the equation as shown.

1 answer:

7 0

-3+2x=9
+3. +3
2x=12(you divide)
6. She multiplied the -3 and 2 then she added the x to the three. Idk how to explain it

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Which of the following is the inverse of y=3x?

shtirl [24]

Answer-

<em>The inverse of $y=3^x$ is </em>

$\boxed{\boxed{y=\log_3 x}}$

<u>Solution-</u>

The given function is,

$y=3^x$

We can get the inverse by interchanging he variable x and y among themselves and then separating each variables.

So in the inverse would be,

$\Rightarrow x=3^y$

Taking log of both sides,

$\Rightarrow \log x=\log 3^y$

As,

$\log a^b=b\times \log a$

Applying the same,

$\Rightarrow \log x=y\times \log 3$

$\Rightarrow y=\dfrac{\log x}{\log 3}$

As,

$\log_b a=\dfrac{\log a}{\log b}$

Applying the same,

$\Rightarrow y=\log_3 x$

Therefore, the inverse of $y=3^x$ is $y=\log_3 x$ .

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3 years ago

Read 2 more answers

which pairs of angles in the figure below are vertical angles check all that apply

makvit [3.9K]

Answer:

Options A, B and D

Step-by-step explanation:

∠ATN and ∠RTD are vertical angles.

∠RTP and ∠ATB are vertical angles.

∠DTN and ∠ATP are vertical angles.

8 0

2 years ago

Franco earns $8 per hour at his after-school job. Last week, he received a paycheck of more than $168. If he worked for h hours

GarryVolchara [31]

8h=168
168 divided by 8= h
h=21
He worked 21 hours

3 0

3 years ago

Read 2 more answers

Which is equivalent to √3/√8 when denominator is "rationalized"?

TEA [102]

Step-by-step explanation:

$\dfrac{\sqrt3}{\sqrt8}=\dfrac{\sqrt3\cdot\sqrt2}{\sqrt8\cdot\sqrt2}=\dfrac{\sqrt{3\cdot2}}{\sqrt{8\cdot2}}=\dfrac{\sqrt6}{\sqrt{16}}=\dfrac{\sqrt6}{4}$

$\sqrt{ab}=\sqrt{a}\cdot\sqrt{b}\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{a}=b\iff b^2=a\ \text{for}\ a\geq0\ \wedge\ b\geq0\\\\\sqrt{16}=4\ \text{because}\ 4^2=16$

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3 years ago

Anyone know this when viewing two "parallel lines," we should identify the number of times our lines would _________. when viewi

Alecsey [184]

Intersect

Meet/Touch/Cross

Perpendicular or Transversals

Meet/Touch/Cross

Correct me if I'm wrong.

5 0

3 years ago