All categories

2 years ago

What is the average rate of change of f over the interval -4≤x≤5

Mathematics

1 answer:

Ira Lisetskai [31]2 years ago

3 0

The average rate of change over the interval is 2/9

<h3>How to determine the average rate of change?</h3>

The interval is given as:

-4 ≤ x ≤ 5

From the table, we have:

f(5) = 4

f(-4) = 2

The average rate of change is then calculated as:

$m = \frac{f(5) - f(-4)}{5 --4}$

This gives

$m = \frac{4 - 2}{5 +4}$

Evaluate

$m = \frac{2}{9}$

Hence, the average rate of change over the interval is 2/9

Read more about average rate of change at:

brainly.com/question/23715190

#SPJ1

You might be interested in

Find any 3 (x,y) pairs that are solutions for the equation 2x-5y=10 . Show your work

Alla [95]

Answer:

(0,-2), (5,0) and (10,2).

Step-by-step explanation:

Given equation is $2x-5y=10$ .

Now we need to find 3 pairs of solutions in (x,y) form for the given equation.

As $2x-5y=10$ is a linear equation so we are free to pick any number for x like x=0, 5, 10

Plug x=0 into $2x-5y=10$ , we get:

$2(0)-5y=10$

$0-5y=10$

$-5y=10$

$y=\frac{10}{-5}$

$y=-2$

Hence first solution is (0,-2)

We can repeat same process with x=5 and 10 to get the other solutions.

Hence final answer is (0,-2), (5,0) and (10,2).

5 0

3 years ago

Read 2 more answers

What is 10 plus 10 minus 4 and 8 divided by the total?

katrin2010 [14]

Answer:

Step-by-step explanation:

(10+10-4)÷8 is your expression.

10+10=20

20-4=16

16/8=2

6 0

3 years ago

Read 2 more answers

Suppose an=3an-1 -5an-2 -4an-3. and a4= -7, a5=-36, a6=-85 , find a1 , a2, a3

maria [59]

Answer:

$a_1=4\\\\a_2=0\\\\a_3=3$

Explanation:

The equation is:

$a_n=3a_{n-1}-5a_{n-2}-4a_{n-3}$

and

$a_4=-7, a_5=-36, a_6=-85$

<u>1. Subsittute n = 6 into the equation:</u>

$a_6=3a_{5}-5a_{4}-4a_{3}$

Now subsititute the known values:

$-85=3(-36)-5(-7)-4a_{3}$

You can solve for $a_3$

$-85=-108+35-4a_{3}\\\\4a_3=12\\\\a_3=12/4\\\\a_3=3$

<u />

<u>2. Substitute n = 5 into the equation:</u>

$a_5=3a_{4}-5a_{3}-4a_{2}$

Substitute the known values and solve for $a_2$

$-36=3(-7)-5(3)-4a_{2}\\\\4a_2=-21-15+36=0\\\\a_2=0$

<u>3. Substitute n = 4 into the equation, subsitute the known values and solve for </u> $a_1$ <u />

$a_4=3a_{3}-5a_{2}-4a_{1}$

$-7=3(3)-5(0)-4a_{1}\\\\4a_1=9+7=16\\\\a_1=4$

7 0

3 years ago

PLEASE ANSWER THIS QUESTION

iVinArrow [24]

Answer: im pretty sure its d

Step-by-step explanation:

dhgfldfglijhbfg

7 0

2 years ago

A table has an area of 12 and a perimeter of 16 ft. What are the dimensions of the table?

Mandarinka [93]

Answer:

Length 6, Width 2

Step-by-step explanation:

6x2 = 12 = Area

6+6+2+2= 16 = Perimeter

4 0

3 years ago

Read 2 more answers