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2 years ago

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Which graph is the result of reflecting f(x) = (8)* across the y-axis and then across the x-axis? O 8- 6- 8 7

1 answer:

marta [7]2 years ago

8 0

I assume you meant $f(x)=8^x$ .

Reflecting across the x-axis would give $y=-8^x$ .

Reflecting across the y-axis would give $y=8^{-x}$ .

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True or false? these numbers can be used to calculate the standard deviation of this distribution

lakkis [162]

The answer would be False

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4 years ago

Read 2 more answers

What is 4(2x - 9) equivalent to?

Georgia [21]

Answer:

8x - 36

Step-by-step explanation:

Use distributive property: a(b + c) = a*b + a*c

4(2x - 9)= 4*2x - 4*9

= 8x - 36

6 0

3 years ago

The value of an investment A (in dollars) after t years is given by the function A(t) = A0ekt. If it takes 10 years for an inves

Ludmilka [50]

Answer:

20 years.

Step-by-step explanation:

We have been given a formula $A(t)=A_0\cdot e^{kt}$ , which represents the value of an investment A (in dollars) after t years.

Substitute the given values:

$\$3,000=\$1,000\cdot e^{k*10}$

Let us solve for k.

$\frac{\$3,000}{\$1,000}=\frac{\$1,000\cdot e^{k*10}}{\$1,000}$

$3=e^{k*10}$

Take natural log of both sides:

$\text{ln}(3)=\text{ln}(e^{k*10})$

Using property $\text{ln}(a^b)=b\cdot \text{ln}(a)$ , we will get:

$\text{ln}(3)=10k\cdot\text{ln}(e)$

We know that $\text{ln}(e)=1$ , so

$\text{ln}(3)=10k\cdot 1$

$\text{ln}(3)=10k$

$\frac{\text{ln}(3)}{10}=\frac{10k}{10}$

$\frac{\text{ln}(3)}{10}=k$

$\$9,000=\$1,000\cdot e^{\frac{\text{ln}(3)}{10}*t}$

Dividing both sides by 1000, we will get:

$9=e^{\frac{\text{ln}(3)}{10}*t}$

Take natural log of both sides:

$\text{ln}(9)=\text{ln}(e^{\frac{\text{ln}(3)}{10}*t)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot\text{ln}(e)$

$\text{ln}(9)=\frac{\text{ln}(3)}{10}*t\cdot1$

$10*\text{ln}(9)=10*\frac{\text{ln}(3)}{10}*t$

$10\text{ln}(9)=\text{ln}(3)*t$

$10\text{ln}(3^2)=\text{ln}(3)*t$

$2\cdot 10\text{ln}(3)=\text{ln}(3)*t$

$20\text{ln}(3)=\text{ln}(3)*t$

Divide both sides by $\text{ln}(3)$ :

$\frac{20\text{ln}(3)}{\text{ln}(3)}=\frac{\text{ln}(3)*t}{\text{ln}(3)}$

$20=t$

Therefore, it will take 20 years for the investment to be $9,000.

5 0

3 years ago

Write each decimal or fraction as a percent.<br><br>0.03<br>0.18<br>23/25<br><br>

ZanzabumX [31]

Answer:

0.03 = 3%

0.18 = 18%

23/25 = 92%

Step-by-step explanation:

4 0

4 years ago

What is the slope of the line represented by the equation 10×+5y=4<br>a.2<br>b.1/2<br>c.-1/2<br>d.-2

VikaD [51]

Equation: 10x + 5y = 4
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Divide the equation by 5,
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Now Compare it with, y = mx + c
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In short, Your Answer would be Option D

Hope this helps!

6 0

4 years ago