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xxTIMURxx [149]
3 years ago
12

What is the average rate of change from x = 0 to x = −2?

Mathematics
1 answer:
Sergio039 [100]3 years ago
7 0
<h3>Answer is    -3</h3>

How I got that answer:

The graph shows the two points (0,-4) and (-2,2) are on the parabola. The x coordinates of both points are from x = 0 and x = -2 as given in the instructions. Compute the slope of the line through those points. The slope of this line is the exact same as the average rate of change from x = -2 to x = 0.

m = (y2 - y1)/(x2 - x1)

m = (2 - (-4))/(-2-0)

m = (2 + 4)/(-2-0)

m = 6/(-2)

m = -3

A negative slope means the line slopes downhill as you move from left to right. This is a negative average rate of change.

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Why can't the input value be negative?
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Write a function rule for the following arithmetic sequence and use it to find the 224th term. Show your work.
zavuch27 [327]

Answer:

671  is the 224th term of the given series

Step-by-step explanation:

The given sequence is

2,5,8,11....

First term that is 2

common difference that is 3

we have to find 224th term

That is n =224

using a_n=a+(n-1)d

a_{224}=2+(224-1)3

On solving the above equation we get

a_{224}=671

Hence, 224th term of the given series is 671


5 0
3 years ago
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PLEASE HELP! WILL MARK BRAINLIEST!
____ [38]

Answer:

b. 75

Step-by-step explanation:

a(n) = a1 + d(n-1)

a(n) = 8.5 + 3.5(n - 1)

a(20) =  8.5 + 3.5(20 - 1)

a(20) =  8.5 + 3.5(19)

a(20) = 8.5  + 66.5

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4 0
3 years ago
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Graph the line -1 passing through the point (-4,5)​
Dennis_Churaev [7]

Answer:

Step-by-step explanation:

If you want to find the equation of line with a given a slope of which goes through the point (-4,5), you can simply use the point-slope formula to find the equation:

---Point-Slope Formula---

where is the slope, and is the given point

So lets use the Point-Slope Formula to find the equation of the line

Plug in , , and (these values are given)

Distribute  

Multiply and to get

Add -1 to both sides to isolate y

Combine like terms and to get the answer

So the equation of the line with a slope of which goes through the point (-4,5) is:

which is now in y=mx = b form where the slope is m=-4/5  and the y-intercept is b=1

6 0
2 years ago
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