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aivan3 [116]
2 years ago
5

Calculate the average rate of change for the function

Mathematics
1 answer:
mezya [45]2 years ago
7 0

slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2(x-2)^2+1\qquad \begin{cases} x_1=-2\\ x_2=4 \end{cases}\implies \cfrac{f(4)-f(-2)}{4-(-2)} \\\\\\ \cfrac{[2(4-2)^2+1]~~ - ~~[2(-2-2)^2+1]}{4+2}\implies \cfrac{[9]~~ - ~~[33]}{6}\implies \cfrac{-24}{6}\implies -4

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How to solve for y and simplify
Dmitry_Shevchenko [17]

Answer:

y = \frac{2}{5}

Step-by-step explanation:

Given

- 3y = - \frac{6}{5}

Multiply both sides by 5 to eliminate the fraction

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y = \frac{-6}{-15} = \frac{6}{15} = \frac{2}{5}

6 0
3 years ago
A town has a population of 18,000 and grows at 2% every year. What will be the population after 12 years, to the nearest whole n
S_A_V [24]

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22,828

Step-by-step explanation:

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3 0
2 years ago
The clean up hitter on a baseball tean batted 1/4 of the runs the team scored. The hitter batted in 5 runs. Select the equation
strojnjashka [21]

Answer:

A. \frac{1}{4}n=5

The solution is: n=20

Step-by-step explanation:

1. You have the following information given in the problem above:

- The hitter batted \frac{1}{4} of the runs the team scored.

- The hitter batted in 5 runs.

2. If n is the number of run the team scored, then \frac{1}{4} of n must be equal to five runs batted by the hitter. Therefore, the equation is:

\frac{1}{4}n=5

3. Solve for n, as following:

\frac{1}{4}n=5\\n=(5)(4)\\n=20


6 0
3 years ago
30 POINTS <br><br>what is the volume of the solid figure below
belka [17]

Answer:

I got B) 72 cm^3

Step-by-step explanation:

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3 0
3 years ago
Read 2 more answers
Factor Completely.<br> 30r^2 + 30r + 75.
kari74 [83]

Answer:

15(2r^2+2r+5)

Step-by-step explanation:

I'm more of a guess and check type of person, but 15 x 2r^2 = 30r^2, 15 x 2r = 30r, and 15 x 5 = 75

6 0
2 years ago
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