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katovenus [111]
3 years ago
5

How do the graphs of the functions f(x)=

e="(\frac{3}{2})^x" alt="(\frac{3}{2})^x" align="absmiddle" class="latex-formula"> and g(x)=(\frac{2}{3})^x compare?
{Explain your answer.}


Show your work!


Step-by-Step calculations required.


No spam answers, please!


Thank you!
Mathematics
1 answer:
grin007 [14]3 years ago
5 0

Step-by-step explanation:

f(x) = (3/2)ˣ

g(x) = (2/3)ˣ

These are examples of exponential equations:

y = a bˣ

If b > 1, the equation is exponential growth.

If 0 < b < 1, the equation is exponential decay.

So f(x) is an example of exponential growth, and g(x) is an example of exponential decay.

Also, 2/3 is the inverse of 3/2, so:

g(x) = (3/2)^(-x)

So more specifically, f(x) and g(x) are reflections of each other across the y-axis.

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babymother [125]

Answer:

2: 90

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Step-by-step explanation:

6 0
3 years ago
Two angles are complementary angles if the sum of their measure is 90 degrees. Angle A and angle B are complementary angles, and
Marta_Voda [28]
Let's solve this problem step-by-step.

STEP-BY-STEP SOLUTION:

We will be using simultaneous equations to solve this problem.

First we will establish the equations which we will be using as displayed below:

Equation No. 1 -

A + B = 90°

Equation No. 1 -

A = 2B + 12

To begin with, let's make ( A ) the subject in the first equation as displayed below:

Equation No. 1 -

A + B = 90

A = 90 - B

Next we will substitute the value of ( A ) from the first equation into the second equation and solve for ( B ) as displayed below:

Equation No. 2 -

A = 2B + 12

( 90 - B ) = 2B + 12

- B - 2B = 12 - 90

- 3B = - 78

B = - 78 / - 3

B = 26°

Then we will substitute the value of ( B ) from the second equation into the first equation to solve for ( A ) as displayed below:

A = 90 - B

A = 90 - ( 26 )

A = 64°

ANSWER:

Therefore, the answer is:

A = 64°

B = 26°

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4 0
3 years ago
Math <br><br><br> help pls!!<br><br> solve for x and y
Elan Coil [88]

Answer:

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8 0
3 years ago
What is the answer to this question
Svetllana [295]

Answer:

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Step-by-step explanation:

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3 years ago
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Artyom0805 [142]

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Step-by-step explanation:

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6 0
3 years ago
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