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seraphim [82]
3 years ago
12

Given f(x)=17-x^2 what is the average rate of change in f(x) over the interval [1, 5]?

Mathematics
1 answer:
Law Incorporation [45]3 years ago
8 0

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

\frac{f(b)-f(a)}{b-a}

Here [ a, b ] = [ 1, 5 ], thus

f(b) = f(5) = 17 - 5² = 17 - 25 = - 8

f(a) = f(1) = 17 - 1² = 17 - 1 = 16

average rate of change = \frac{-8-16}{5-1} = \frac{-24}{4} = - 6

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Nuetrik [128]

Answer:

<u>The median is 7.</u>

Step-by-step explanation:

In order to find the median, you need to ut the numbers in either least to greatest form, or greatest to least (FIRST).

I'm gonna do both as an example.

Greatest to least:

14, 13, 9, 9, 7, 5, 3, 2, 1

Least to greatest:

1, 2, 3, 5, 7, 9, 9, 13, 14

<u><em>It is REALLY important that you use ALL of the numbers you are given, even if there are two or more of the same number.</em></u>

The next thing you need to do is find the number that is in the middle.

It will be the same for both least to greatest AND greatest to least.

You can either count one from either side, going in a pattern, OR you can count how many there is, divide it by 2, and whatever answer you get, count that many times over from one side.

In this case, your answer goes like this:

since there are 9 numbers, and 9 is not an even number, you will have only one median. Having 2 medians IS normal and it IS ok.

In this case, you want to go down one number (from 9) and divide that. So you do 8 divided by 2, which is 4. Count that many times over and you have your answer, 7.

I hope this helped you!

Have a great dayyyy

5 0
3 years ago
Choose the number line of the solution to this inequality. c - 12 ≥ -16
MissTica

Answer: Yes

Step-by-step explanation:

6 0
3 years ago
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please help me evaluate this. the answer is B but im not sure how to get the answer without using a calculator. please show step
iragen [17]

Answer:

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Step-by-step explanation:

It helps if you have memorized the cubes of small integers. Of course, the ones needed here are ...

  3³ = 27

  10³ = 1000

The desired value can be simplified to ...

  \left(-\dfrac{1000}{27}\right)^{-2/3}=\left(-\sqrt[3]{\dfrac{3^3}{10^3}}\right)^2=\dfrac{(-3)^2}{10^2}=\dfrac{9}{100}

6 0
3 years ago
Select the values that make the inequality true.
Sladkaya [172]

Answer: 35,40,45,50,55

That is the answer to the 1st part.

Step-by-step explanation:

6 0
3 years ago
Help I don’t get it
julia-pushkina [17]
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