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frosja888 [35]
2 years ago
13

Find the average rate of change from x = 2 to x = 6 for the function f(x) = 3^x and select the correct answer below.

Mathematics
1 answer:
oksano4ka [1.4K]2 years ago
8 0
<h3>Answer:  Choice A) 180</h3>

======================================================

Work Shown:

f(x) = 3^x

a = 2 = lower value of the interval

b = 6 = upper value of the interval

c = average rate of change of f(x) from a to b

c = ( f(b) - f(a) )/(b - a) ..... note how this mimics the slope formula

c = ( f(6) - f(2) )/(6 - 2)

c = ( 3^6 - 3^2 )/4

c = ( 729 - 9 )/4

c = 720/4

c = 180

The average rate of change from x = 2 to x = 6 for f(x) = 3^x is 180

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4vir4ik [10]

Answer:

37.5%

Step-by-step explanation:

You need to convert this fraction into a decimal to start. After you do this you need to turn the decimal into its percentage form. Soo 0.375 = 3/8 = 37.5%

8 0
2 years ago
Read 2 more answers
Solve the system of equation by the addition method x-2y=11 and -x+6y =-31
Sonbull [250]

Answer: x = 1, y = - 5

Step-by-step explanation:

The given system of linear equations is expressed as

x - 2y = 11- - - - - - - - - - - - -1

- x + 6y = - 31- - - - - - - - - - - -2

We would eliminate x by adding equation 1 to equation 2. It becomes

- 2y + 6y = 11 - 31

4y = - 20

Dividing the the left hand side and the right hand side of the equation by 4, it becomes

4y/4 = - 20/4

y = - 5

Substituting y = - 5 into equation 1, it becomes

x - 2 × - 5 = 11

x + 10 = 11

Subtracting 10 from the left hand side and the right hand side of the equation, it becomes

x + 10 - 10 = 11 - 10

x = 1

3 0
3 years ago
What is the range of f(x) = 3x + 9?
ziro4ka [17]

Answer:

The range is all real numbers.

Step-by-step explanation:

The function shown is a line (and not a horizontal line).

The range is all the y's on the graph or all the y's that can be generated by the equation of the function.

f(x) = 3x + 9

You could put ANY, literally any, number in place of the f(x) and be able to calculate an x for it. Looking at the graph of this line, you could go up and down the y-axis to infinity in either direction, and the graph of the line would be there.

The range is All Real Numbers.

5 0
2 years ago
Is the following number rational or irrational? Choose the appropriate reason. PA N. 1.4 7+ V5 Rational, because it is the sum o
sveticcg [70]

Answer:

u need to give more points for thouse kind of questions

Step-by-step explanation:

3 0
2 years ago
Just wondering if this is the correct answer...
vaieri [72.5K]
Yes, that should be correct, I am not to sure so don't take my answer as a full yes, but I think that looks correct.
8 0
2 years ago
Read 2 more answers
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