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nexus9112 [7]
3 years ago
5

Which statements represent the relationship between y=2^x and y=log2 x?

Mathematics
1 answer:
laila [671]3 years ago
3 0
Y = 2^x and y = log₂x

Exponents and logs (to the same base = 2) are inverses of each other.
All inverse functions are symmetric about line y = x

y = log₂x is NOT the logarithmic form of y = 2^x
The logarithmic form of y = 2^x is x = log₂y (NOT y = log₂x)

Answer: A, C
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Need help
sveta [45]

Answer:

20

Step-by-step explanation:

25 + 7x = 165

25 + 7(20) = 165

25 + 140 = 165

6 0
3 years ago
Why does my sister hate me?
Nata [24]

Answer:

Sister Are Like That Sometimes, Give her Time!

Step-by-step explanation:

Bigger siblings- especially girls- love their private time. If your sister seems annoyed, I suggest you just walk away. If she gets upset, agree with her argument. As a bigger sister myself, sometimes we just want nothing more than to be alone. Have you told your parents about this? Siblings need a reminder that they aren't always in charge. Tell your sister that you appreciate her, and that if she ever needs help going through anything, you're there for her. I understand this isn't the easiest, but that's how you can better connect with her.

8 0
3 years ago
The length of a rectangle is 8 m more than 6 times the width. The perimeter is 156 m. Find width.
Alla [95]
<span>width = x
</span><span>length = 6x + 8 

x + 6x + 8 = 156/2
7x + 8 = 78
7x = 78 - 8
7x = 70
x = 70/7
x = 10 m  </span>← width
5 0
3 years ago
Suppose a population is growing by 8% each year. How many years will it take the population to double?
Doss [256]

ANSWER

\text{9 years}

EXPLANATION

We want to find the number of years that it will take the population to double.

To do this, we have to apply the exponential growth function:

y=a(1+r)^t

where y = final value

a = initial value

r = rate of growth

t = time (in years)

For the population to double, it means that the final value must be 2 times the initial value:

y=2a

Substitute the given values into the function above:

\begin{gathered} 2a=a(1+\frac{8}{100})^t \\ \frac{2a}{a}=(1+0.08)^t=1.08^t \\ 2=1.08^t \end{gathered}

To solve further, convert the function from an exponential function to a logarithmic function as follows:

\log _{1.08}2=t

Solve for t:

\begin{gathered} \frac{\log _{10}2}{\log _{10}1.08}=t \\ \Rightarrow t=9\text{ years} \end{gathered}

It will take 9 years for the population to double.

4 0
1 year ago
Graph the line using two points.y=- 3/ 5x+2
Flauer [41]
Ok for this you just plug any number for x and 2 is your y intercept ... -3/5 is slope slope is the change in y over the change in x so you go down 3 because the 3 is negative and to the right 5 because 5 is positive. so two points on the line y=3/5+2 are (-5,-1) and (-10, -4).
6 0
3 years ago
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