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viva [34]
2 years ago
15

What is the average rate of change for this function for the interval from x= 1 to x = 3?

Mathematics
1 answer:
MArishka [77]2 years ago
6 0

Answer:

The average rate of change is 12x=12.0x.

Description:

Function: x= 1x = 3  convert to short form: x 1x 3

Interval:  x= 1  ,       x 3

Steps:

Input:  Find the average rate of change of f(x)=3x2 on the interval [x,3x].

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

Thus, f(b)−f(a)b−a=3((3x))2−(3(x)2)3x−(x)=12x.

Answer: the average rate of change is 12x=12.0x.

Please mark brainliest

<em><u>Hope this helps.</u></em>

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Find the range of the following list of numbereally -9, 17, -12, 15, 8, 0,16,
spayn [35]
Order the list from least to greatest:
-12, -9, 0, 8, 15, 16, 17

subtract the least from the greatest: 17 - (-12)

17 + 12 = 29

The range is 29

hope this helps
4 0
3 years ago
Find the sum of the first 8 terms of the series. 1/2 + 1 + 2 + 4
Roman55 [17]

\bf \cfrac{1}{2}~~,~~\stackrel{2\cdot \frac{1}{2}}{1}~~,~~\stackrel{2\cdot 1}{2}~~,~~\stackrel{2\cdot 2}{4}~~,...

so as you can see the common ratio is 2, and the first term is 1/2,

\bf \qquad \qquad \textit{sum of a finite geometric sequence} \\\\ S_n=\sum\limits_{i=1}^{n}\ a_1\cdot r^{i-1}\implies S_n=a_1\left( \cfrac{1-r^n}{1-r} \right)\quad  \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\ ----------\\ r=2\\ a_1=\frac{1}{2}\\ n=8 \end{cases} \\\\\\ S_8=\cfrac{1}{2}\left( \cfrac{1-2^8}{1-2} \right)\implies S_8=\cfrac{1}{2}\left( \cfrac{-255}{-1} \right)\implies S_8=\cfrac{255}{2}

4 0
3 years ago
Read 2 more answers
Let P(x) denote the statement "2x+5 &gt; 10." Which of the following is true?
ruslelena [56]

Answer: P(3) is True

Step-by-step explanation:

The given statement is an inequality denoted as P(x). To find out which of the options is true you have to evaluate each given value of X in the inequality and perform the arithmetic operations, then you have to see if the expression makes sense.

For P(0): Replace X=0 in 2x+5>10

2(0)+5>10

0+5>10

5>10 is false because 5 is not greater than 10

For P(3): Replace X=3 in 2x+5>10

2(3)+5>10

6+5>10

11>10 is true because 11 is greater than 10

For P(2): Replace X=2 in 2x+5>10

2(2)+5>10

4+5>10

9>10 is false

For P(1): Replace X=1 in 2x+5>10

2(1)+5>10

2+5>10

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4 0
3 years ago
Given m∠JML = 80 and m∠KML = 33, what is m∠JMK
Harrizon [31]

Answer:

<h2>47°</h2>

Step-by-step explanation:

Given m∠JML = 80 and m∠KML = 33, to calculate the value of angle m∠JMK, we will apply the formula since all the angles are all acting at point M.

m∠JML = m∠JMK+m∠KML

Substituting the values given into the equation;

80 = m∠JMK + 33

subtract 33 from both sides of the equation

m∠JMK = 80-33

m∠JMK = 47°

<em>Hence the value of angle m∠JMK is 47°</em>

3 0
3 years ago
a truck weighs 5,400 pounds. An open-wheel race car weighs 1/4 as much. how much does the race car weigh
gtnhenbr [62]
Since 1/4 is equal to 0.25 than you would do 5,400 times 0.25 and get the answer of 13,500.0. So the race car weighs 13,500 pounds.
3 0
3 years ago
Read 2 more answers
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