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Ugo [173]
3 years ago
7

The graph of f(x) = 2x + 1 is shown below. Explain how to find the average rate of change between x = 0 and x = 2.

Mathematics
2 answers:
Bad White [126]3 years ago
8 0

I believe the correct given equation is in the form:

f (x) = 2^x + 1     where x is an exponent of the number 2

Now to solve for the average rate of change of the given function from points x = 0 and x = 2, we must first assume that the graph between those two points is linear. With that, we can solve for the average rate of change using the slope formula, that is:

 

average rate of change = slope = [f (x2) – f (x1)] / (x2 – x1)

 

Therefore,

average rate of change = [(2^2 + 1) – (2^0 + 1)] / (2 – 0)

average rate of change = [5 – 2] / 2

average rate of change = 3 / 2

average rate of change = 1.5

maksim [4K]3 years ago
4 0
The last description actually clarifies the given equation. The equation should be written as: f(x) = 2ˣ +1. The x should be in the exponent's place. 

The average rate of change, in other words, is the slope of the curve at certain points. In equation, the slope is equal to Δy/Δx. It means that the slope is the change in the y coordinates over the change in the x coordinate. So, we know the denominator to be: 2-0 = 2. To determine the numerator, we substitute x=0 and x=2 to the original equation to obtain their respective y-coordinate pairs.

f(0)= 2⁰+1 = 2
f(2) = 2² + 1 = 5

So, the slope is equal to:

Average rate of change = (5 - 2)/(2 - 0)
Average rate of change = 3/2 or 1.5
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lisov135 [29]

Functions are used to represent tables and equations

  • The function that represents the number of imports is f(x) = 2x
  • The function that represents the number of exports is f(x) = 2 + x

<h3>How to determine the import function</h3>

From the table, we can see that the values of the import is twice the number of months

This is represented as:

y = 2x

Rewrite as a function

f(x) = 2x

Hence, the function that represents the number of imports is f(x) = 2x

<h3>How to determine the export function</h3>

From the table, we can see that the values of the export is two more than the number of months

This is represented as:

y = 2 + x

Rewrite as a function

f(x) = 2 + x

Hence, the function that represents the number of exports is f(x) = 2 + x

Read more about linear functions at:

brainly.com/question/15602982

7 0
2 years ago
Find the volume of a square based pyramid like you see below if the side of the base is 10 inches and the height of the the tria
Mekhanik [1.2K]

Answer:

The volume of a square based pyramid is <u>645.3 cubic inches</u>.

Step-by-step explanation:

Given:

The side of the base is 10 inches and the height of the the triangular face is 20 inches.

Now, to find the volume of square based pyramid.

Base side (a) = 10 inches.

Slant Height (s) = 20 inches.

Now, to get the height of pyramid by using pythagorean theorem:

Leg 1 = \frac{base}{2}=\frac{10}{2}=5\ inches.

Hypotenuse = 20 inches.

So,

Hypotenuse² = (leg 1)² + (leg 2)²

20^2=5^2+leg2^2\\400=25+leg2^2\\Subtracting\ both\ sides\ by\ 25 \ we\ get:\\375=leg2^2

<em>Using square root on both sides we get:</em>

<em />19.36=leg2<em />

<em>leg 2 = 19.36 inches.</em>

Thus, the height of pyramid = 19.36 inches.

Now, to get the volume of square pyramid we put formula:

h = 19.36 inches.

a = 10 inches.

Volume=a^2\frac{h}{3}

Volume=10^2\times \frac{19.36}{3}

Volume=100\times 6.453

Volume=645.3\ cubic\ inches.

<u><em>Hence, the volume to the nearest tenth is 645.3 cubic inches.</em></u>

Therefore, the volume of a square based pyramid is 645.3 cubic inches.

3 0
3 years ago
35 rounded to the nearest hundred
Volgvan

Answer and Explanation: 35 rounded to the nearest 100 is 0. To round to the nearest hundred, you need to first identify the hundreds that are closest to the number you are rounding. For 35, the closest hundred that is lower than 35 is 0, and the closest 100 that is higher than 35 is 100.

7 0
3 years ago
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3 years ago
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Shalnov [3]

Answer:

x = -1/7

Step-by-step explanation:

Solve for x

9-17x-5-4x=7

Combine like terms

-21x +4 = 7

Subtract 4 from each side

-21x-4+4 = 7-4

-21x = 3

Divide each side by -21

-21x/-21 = 3/-21

x = -1/7

Check

9 - 17(-1/7) -5 -4(-1/7) =7

9 + 17/7 -5 + 4/7 =7

4 +21/7 = 7

4+3 = 7

7=7

3 0
1 year ago
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