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Scorpion4ik [409]
4 years ago
14

I'd seriously appreciate it if anyone could help! :) I'll give Brainliest! Please show your work.

Mathematics
2 answers:
Genrish500 [490]4 years ago
7 0

SOLUTION

Your input: find the average rate of change of f(x)=x2 on the interval [1,3].


The average rate of change of f(x) on the interval [a,b] is f(b)−f(a)b−a.


We have that a=1, b=3, f(x)=x2.



Thus, f(b)−f(a)b−a=((3))2−(((1))2)3−(1)=4.


Answer: the average rate of change is 4.

rounded answer.

4.0

Alexandra [31]4 years ago
4 0

y2 - y1 / x2 -x1

21 ft - 18 ft / 18hr - 9 hr

3 ft/9hr

1/3 ft/hr

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Find the distance between the points. (Round your answer to two decimal places. (9.7, - 2.8), (- 3.2, 8.8)
Dmitry [639]

Answer:

Rounding it to two decimal places, we get distance, d=17.35

Step-by-step explanation:

Given:

The two points are (9.7, -2.8)\textrm{ and }(-3.2, 8.8)

The distance between the two points can be obtained using the distance formula which is given as:

d=\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2}

Here, for the points, (9.7, -2.8)\textrm{ and }(-3.2, 8.8)

x_{1}=9.7,x_{2}=-3.2,y_{1}=-2.8,y_{2}=8.8

Therefore, the distance between the points is:

d=\sqrt{(-3.2-9.7)^2+(8.8-(-2.8))^2}\\d=\sqrt{(-12.9)^2+(8.8+2.8)^2}\\d=\sqrt{(12.9)^2+(11.6)^2}\\d=\sqrt{166.41+134.56}\\d=\sqrt{300.97}=17.348

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3 years ago
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A piggy bank contains 36 coins that consists of dimes and quarters totaling $5.85 how many quarters are in the piggy bank in you
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The main idea here is to "translate" the words into maths. 
First we need to identify the unknowns and label these. 

We need to know the number if dimes and the number of quarters. So lets say
x: number of dimes
y: number of quarters

Now lets write equations from the written problem. 
We know that there are 36 coind total, thus: 
x + y = 36
We also know that the coins total 5.85 dollars, but it is better to count in cents, that is 585 cents. 
x are the number of dimes, their value is x*10
y are quarters with value of y*25
thus: 
10x+25y=585

We have two equations and two unknowns now, that needs to be solved to get the answer. 

x + y = 36
10x+25y=585


4 0
3 years ago
Read 2 more answers
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