How are the two functions f(x) = 0.7(6)^x and g(x) = 0.7^-x related to each other?

Answers

Answer 1

Answer: to find the relationship between them, lets do some algebra:

f(x) = (7/10)^x

g(x) = (7/10)^-x

if we do:

f(x) * g(x) = 1

due to exponents multiplying addition law, therefore, the relationship, gives:

f(x) = 1 / g(x)

Answer 2

Answer:

Answer:

We will see that g(x) is a reflection over the y-axis of f(x).

How does a reflection work?

For a given function f(x), we can define:

A reflection over the x-axis as: g(x) = -f(x)

A reflection over the y-axis as: g(x) = f(-x).

In this case we have:

f(x) = 0.7*(6)^x

g(x) = 0.7*(6)^-x = f(-x)

So is ratter easy to notice that g(x) is a reflection over the y-axis of f(x), so the correct option is:

"g(x) is the reflection of f(x) over the y-axis."

If you want to learn more about reflections, you can read:

brainly.com/question/4289712

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What is 15 - 7 x 2+ 2 to the 3rd power

Answers

15 - 7 x 2 + 2^3
15 - 7 x 2 + 8
15 - 14 + 8
= 9

Simplity. (2+7) / (7/2 x 2)

Answers

Answer: 9/7 or 1.28571 or 1 2/7

Three ways to simplify :)

Step-by-step explanation:

Use PEMDAS to help simplify

(2+7) becomes 9

(7/2 x 2) becomes 7

Simplified, it's 9/7, which is equivalent to 1.28571

What is the vertex of g(x)=8x^2 - 48x + 65?(-3,-7)
(3,-7)
(24, -7)
(-24, -7)

Answers

$\textit{vertex of a vertical parabola, using coefficients} \n\n g(x)=\stackrel{\stackrel{\textit{\small a}}{\downarrow }}{8}x^2\stackrel{\stackrel{\textit{\small b}}{\downarrow }}{-48}x\stackrel{\stackrel{\textit{\small c}}{\downarrow }}{+65} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\left(-\cfrac{ -48}{2(8)}~~~~ ,~~~~ 65-\cfrac{ (-48)^2}{4(8)}\right) \implies\left( - \cfrac{ -48 }{ 16 }~~,~~65 - \cfrac{ 2304 }{ 32 } \right) \n\n\n \left( \cfrac{ 48 }{ 16 }~~,~~65 - \cfrac{ 2304 }{ 32 } \right)\implies \left( \cfrac{ 48 }{ 16 }~~,~~65 - 72 \right)\implies (~3~~,~~ -7~)$

A base ball team played 22 games they won 4 more then they lost how many games did they win

Answers

First you minus 4 from 22, to get 18 - to find how the number of games they won and lost.
Next, you divide 18 by 2 and add 4 - this is the number of games they won.
Answer: 13

Another one this one has two anwser first up is A

Answers

Answer:

g = 6

Step-by-step explanation:

3.8g + 8 = 1.8g + 20

Subtract 1.8g from both sides;

2g + 8 = 20

Subtract 8 from both sides;

2g = 12

Divide both sides by 2;

g = 6

You can check if the value of g is correct by plugging in the value of g to the equation. If your check does not it doesn't mean your answer is not correct because sometimes it can be a no solution equation which means that there is no solution to the equation.

Check:

3.8(6) + 8 = 1.8(6) + 20

22.8 + 8 = 10.8 + 20

30.8 = 30.8

It means its correct

81 is 56% percent of what