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3 years ago

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

Mathematics

2 answers:

mojhsa [17]3 years ago

4 0

For this case, we must find the inverse of the following function:

$y = 3 ^ x$

We follow the steps below:

We exchange the variables:

$x = 3 ^ y$

We put the variable y on the left side of the equation:

$3 ^ y = x$

We apply logarithm properties:

$y = log_ {3} (x)$

So:

$f ^ {- 1} = log_ {3} (x)$

Answer:

$f ^ {- 1} = log_ {3} (x)$

Option B

inessss [21]3 years ago

3 0

Answer: y=log3x or option B

Step-by-step explanation:

Took the test

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Find the value of the variable that results in congruent triangles. Explain. SAS (Side, Angle, Side) or ASA (Angle, Side, Angle)

Mamont248 [21]

well, let's keep in mind that the SAS postulate, so if one Side and the Angle next to it and the following Side after the angle are equal on both triangles, both triangles are congruent. Now, we have the angle 30° with sides and 9 and 2x and sides 9 and x + 4, well, the 9's are equal, dohh, you know, if only the 2x = x + 4, we'd be golden

$2x = x + 4\implies 2x - x = 4\implies \boxed{x = 4}$

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2 years ago

Sally can paint the wall in 54 minutes. If Sally and Ethan work together, they can paint the wall in 36 minutes. How much time d

MAXImum [283]

Answer:

$108\ minutes$

Step-by-step explanation:

1) we know that

Sally can paint the wall in 54 minutes

The 100% of the wall ------> she can paint in 54 minutes

by proportion

calculate how much is the percent of the work in 36 minutes

$\frac{100\%}{54} =\frac{x\%}{36}\\ \\x=36*100/54\\ \\x=66.67\%$

That means

Sally in 36 minutes can paint the 66.67% of the wall

2) Sally and Ethan work together, they can paint the wall in 36 minutes

Ethan in 36 minutes can paint (100%-66.67%)=33.33%

by proportion

Calculate how much time does it take for Ethan to paint the wall by herself

$\frac{33.33\%}{36} =\frac{100\%}{x}\\ \\x=36*100/33.33\\ \\x=108\ minutes$

6 0

3 years ago

<img src="https://tex.z-dn.net/?f=%20%5C%5C%20" id="TexFormula1" title=" \\ " alt=" \\ " align="absmiddle" class="latex-formula"

Gwar [14]

Answer:

$\frac{3}{2a} + \frac{1}{6a} \\ \\ \frac{9}{6a} + \frac{1}{6a} = \frac{9 + 1}{6a} \\ \\ = \frac{10}{6a} = \frac{5}{3a}$

I hope I helped you^_^

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2 years ago

Given the Venn diagram below, which statement must be true?

masya89 [10]

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3 years ago

Two cars got an oil change at the same auto shop. The shop charges customers for each quart of oil plus a flat fee for labor. Th

amm1812

(5,22.45),(7,25.45)
slope = (25.45 - 22.45) / (7 - 5) = 3/2 or 1.5

y = mx + b
slope(m) = 1.5
use either of ur points...(5,22.45)...x = 5 and y = 22.45
now sub and find b
22.45 = 1.5(5) + b
22.45 = 7.5 + b
22.45 - 7.5 = b
14.95 = b

so ur equation is : y = 1.5x + 14.95.......this means that each quart of oil costs $ 1.50 and the labor fee costs $ 14.95

3 0

3 years ago