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tamaranim1 [39]
3 years ago
12

What is the average rate of change for ƒ(x) = −2x + 70 over the interval 2 ≤ x ≤ 6?

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0

Answer:

The average rate of change is -2

Step-by-step explanation:

we know that

To find out the average rate of change, we divide the change in the output value by the change in the input value.

In a linear function the average rate of change is a constant and is equal to the slope of the function

The linear function in slope intercept form is equal to

f(x)=mx+b

where

m is the slope or unit rate of the linear function

b is the y-intercept or initial value of the linear function

In this problem we have

f(x)=-2x+70

so

m=-2\\b=70

therefore

The average rate of change is -2

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How do I subtract fractions​
sesenic [268]
To perform the correct operation as to subtract numbers, make sure the denominators are the same, and then one can then subtract and remove a smaller number from the larger one.

This same method also holds true for adding fractions together as well.

Another way to subtract fractions is to convert them from fraction form to decimal form and then align the decimal points and subtract the values.
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3 years ago
Solve for x.<br><br> x3=−1000<br><br> Enter your answer in the box.<br> x =
levacccp [35]
X³ = -1000

x = ∛-1000

x = -10

In short, Your Answer would be: -10

Hope this helps!
7 0
3 years ago
Read 2 more answers
Find KJM <br><br><br> I NEED HELP
marissa [1.9K]

Answer:

Angle kjm is 56 °

you equate 7x with 3x +16

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3 years ago
Question The set {78, 55, 22, 16, 84, 75, 33, 69, 58, 59} represents the number of stones in ten pouches. What is the midrange o
Citrus2011 [14]
<h3>Answer:  50</h3>

Explanation:

The original set

{78, 55, 22, 16, 84, 75, 33, 69, 58, 59}

sorts to

{16, 22, 33, 55, 58, 59, 69, 75, 78, 84}

The min and max are 16 and 84 respectively

Midrange = (min + max)/2 = (16+84)/2 = 50

3 0
2 years ago
A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know t
Marina86 [1]

Answer:  -25 - 13

This simplifies to -38

So the worker's final position is 38 feet below the ground.

A diagram is shown below.

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

Explanation:

Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.

To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.

For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.

Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13

The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.

------------------------------------

After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so

25+13 = 38

But the final answer is negative because we're starting underground and moving further underground.

We can write it like this

-25 - 13 = -(25+13) = -(38) = -38

Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.

Check out the diagram below.

7 0
2 years ago
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