What is the average rate of change of f(x), represented by the table of values, over the interval [-3,4]

Answers

Answer 1

Answer:

Average rate of change = 3

Step-by-step explanation:

We know that the average rate of change is basically a measure of the slope of the secant line in the closed interval [a, b].

here a = -3 and b = 4

f(b) = f(4) = 27f(a) = f(-3) = 6

⇒ Average rate of change = f(b) - f(a) / b - a

= (27 - 6) / (4 - (-3))

= 21 / 7

= 3

Therefore, Average rate of change = 3

Related Questions

Which relation is not a function?

Answers

For it to be a function none of the x values can repeat.

In D. the x value nine repeats.

Therefore the answer is D.

There are 400 marbles in a bag. 60 of the marbles are blue. What percent of the marblesare not blue?

Answers

Answer:

80%

Step-by-step explanation:

400-60= 320

320 is 80% of 400

what is an explicit formula for the following sequence 1,5,9,13,17 ? plssss helppp mee

Answers

Answer:

plus 4 every time

Step-by-step explanation:

1+4=5+4=9+4=13+4=17

what is 25 rounded to the hundreds place

Answers

Answer:

Step-by-step explanation:

because if the number is not higher than 50, you have to round down.

To the nearest tenth, what is the value of x?
A. 3.5
B. 4.8
C. 5.9
D. 7.3
E. 9.8

Answers

Answer:

D, I think, pls don't report if im wrong

Step-by-step explanation:

Write an equation in point slope form of the line that passes through the point (2,-8) and had a slope of 4

Answers

Point slope: y - y1 = m(x - x1)
Plug those in
Solution: y + 8 = 4(x - 2)

The equation of a line in point-slope form is (y + 8) = 4(x - 2).

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Given, A line passes through the point (x₁, y₁) ⇒ (2,-8) and had a slope of 4.

We know the equation of a line in point-slope form is (y - y₁) = m(x - x₁).

∴ The equation of this line is (y + 8) = 4(x - 2).

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

Can someone answer my English question, please :/ I will mark you brainliest

Answers

Yeh what is it do you have any questions I can help you with

Answer:

Step-by-step explanation:

98 x 1/10
help me out, please.

Answers

Answer:

9 4/5

Step-by-step explanation:

Answer: 9.8

Step-by-step explanation:

what would y=x +5 look at on a graph

Answers

I think it will look like this

Question 1 (2 points)
Jeff is purchasing a car for $29,175 that will depreciate in value 7.5% each year.
Write a function to model the value P of the carafter t years,
If he decides to sell the car after 6 years, what will be the value of his car? Express your answer as a decimal rounded to the nearest hundredth.

Answers

Answer:

p= 18,275

Step-by-step explanation:

The function would be p=29,175(-0.925)^t. You would then substitute t for 6 and solve from there to get p=18,275.

Did it help at all?

Work out 4/5 - 1/5 9/11 + 5/11 3/4+ 1/8

Answers

Decimal: 1.17865691489

Fraction: 97/88

Mixed Fraction: 1 9/88

I hope this helps you

Have an awesome weekend :)

The LCM of 4, 9, and 10 is _______.

36

180

40

90

Answers

Answer:

180

Step-by-step explanation:

Multiples of 4:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108, 112, 116, 120, 124, 128, 132, 136, 140, 144, 148, 152, 156, 160, 164, 168, 172, 176, 180, 184, 188

Multiples of 9:

9, 18, 27, 36, 45, 54, 63, 72, 81, 90, 99, 108, 117, 126, 135, 144, 153, 162, 171, 180, 189, 198

Multiples of 10:

10, 20, 30, 40, 50, 60, 70, 80, 90, 100, 110, 120, 130, 140, 150, 160, 170, 180, 190, 200

Stay safe and Merry Christmas! :)

Answer:

the answer is 180

Step-by-step explanation:

I'm looking for people with common interests.. who watches anime reads yaoi and writes fanfiction???
Dont answer if your not into these.

Answers

I watch anime and write fanfiction :). I have to pass my finals for math and english before I become ungrounded cause I have D's in those two subjects but other than that yeah hi :)

Answer:

I love similar things.

Step-by-step explanation:

Sometimes enjoy drawing anime and drawing period. I also really enjoy writing novels/fanfictions. Maybe not as much as I love reading them, though.

I hope this is what you're looking for! :D

What is the unit rate for cats per dog if there's 72 cats and 12 dogs

Answers

Answer:

6 dogs

Step-by-step explanation:

72 divided by 12=6

Please mark brainliset

Answer:

6:1, 6/1, or 6 to 1

Step-by-step explanation:

72/12

72/12=6

12/12=1

6/1

When a number is decreased by 4%, the result is 66. What is the original number to the nearest tenth?

Answers

Answer:

68.8

Step-by-step explanation:

100% = x number

96% = 66

so 100%

= 68.75

to the nearest tenth is 68.8

Given that 8x−4y=39
Find y when x=5
Give your answer as a fraction in its simplest form

Answers

Answer:

answer is 1/4 or One divided by four

Answer:

[tex]y=\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]8x-4y=39; x=5\\\\8(5)-4y=39\\\\40-4y=39\\\\40-40-4y=39-40\\\\-4y=-1\\\\\frac{-4y=-1}{-4}\\\\\boxed{y=\frac{1}{4}}[/tex]

Hope this helps.

Which expression can be used to find the product of 320? (3 points)
0 (3 x 2) × (3 x 5)
(3 x 9) * (3 x 5)
(4 x 7) x (2 x 5)
(4 x 8) X (2 x 5)

Will be marked!

Answers

Answer:

( 4 x 8) x (2 x 5)

32 x 10

320

Yesnsidbejdidbdndkkd

A number "a" less than 20.

Answers

Answer:

Step-by-step explanation:

Pls help me it is a simple function

Answers

Answer:

blank 1 = 4

blank 2 = 1

Step-by-step explanation:

The slope is how much the y changes for each x value.

have a great day!!!

Why is the first step when solving
2x – 15 - 4x = 3 to combine like terms?

Answers

Answer:

-9 is the final answer

Step-by-step explanation:

2x-4x=-2x

so the equation would be -2x-15=3

add 15 to both sides -2x=18

divide both sides by -2

Brodie plans to ride his hoover board to a Xaiver's house which is 2 miles away. If the
average speed of the hoover board is 5 mph, how many minutes will it take him to get to
Xaiver's house?

Please help it’s timed

Answers

Answer:

2.5 minutes

Step-by-step explanation:

Dividing the average speed by distance will give you 2.5 which is the average speed the hoverboard goes assuming the hoverboard will travel at the same speed the answer is 2.5 minutes.

What is the range of the graphed function?
{x |1< x < 5)
{y |1 < y <5}
{x | x is a real number}
{y|y is a real number}

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

Given the expression

[tex]V=\sqrt[3]{x-1}+3[/tex]

Determining the domain:

We know that the domain of a function is the set of input values for which the function is defined.

From the given graph, it is clear that the function has no undefined points nor domain constraints.

Therefore, the domain is:

{x | x is a real number}

In other words:

[tex]\mathrm{Domain\:of\:}\:\sqrt[3]{x-1}+3\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Determining the range:

We know that the range of a function is the set of values of the dependent variable for which a function is defined.

It is clear from the graph that the range can be any real number.

i.e. the range is:

{y|y is a real number}

In other words,

[tex]\mathrm{Range\:of\:}\sqrt[3]{x-1}+3:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<f\left(x\right)<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]

Consider the triangle. Which statement is true about the length of the sides?
Each side has a different length.

Two sides have the same length, which is less than the length of the third side.

The three sides have the same length.

The sum of the lengths of two sides is equal to the length of the third side.

Answers

Answer:For this case we observe that the 2 angles of the triangle are equal. Also, we have by definition:

A triangle is , when the three sides are connected(in addition, the three internal angles measure 2 angles 45 degrees and 1 angle 90

Step-by-step explanation:

Susan and Kelvin each receive $100
$
100
as a gift.

Part A

Susan buys a movie ticket for $12.50
$
12.50
and 3
3
buckets of popcorn that cost $14.20
$
14.20
each with her $100
$
100
. Which statement is true?

Answers

Answer:

Step-by-step explanation:

you don’t even have to give the answer just please explain

Answers

Answer:

1/2

Step-by-step explanation:

remember that the formula for the slope of a line is

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

where m is the slope, and the x and y variables are the x-y coordinates of two points. Choose two points on the line:

Point 1 : (-1,3) and Point 2 : (1,4)

Plug in your values:

[tex]m=\frac{4-3}{1-(-1)}[/tex]

[tex]m=\frac{1}{2} \\[/tex]

So the slope of this line is 1/2 !

Answer: The slope is [tex]\frac{1}{2}[/tex].

Here is a visual explanation when you use a graph instead of ordered pairs:

HELP 17 POINTS Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. What value of p makes the equation true?

Answers

Answer:

0.125

Step-by-step explanation:

First, remove the 1/8 by subtracting 1/8 on both sides

-3p = -3/8

Then, isolate the variable by diving each side by -3

p = 0.125

Answer:

0.125

Step-by-step explanation:

did the test and got it right!!

104÷16=
I really need help

Answers

Answer: 6.5, hope this helps you

Answer:

6.5

Step-by-step explanation:

A line has slope m=3/4 and passes through the point (0,-5) what is the equation of the line?

Answers

The equation is y = 3/4x -5.

What is the r-value of the following data to three decimal places?

Answers

Answer:

.953

Step-by-step explanation:

took it on a test and got it right

Answer:

.953

Step-by-step explanation:

complete the table of values y = 2x + 3

Answers

Answer:

x=0 y =3

x=1 y= 5

x=2 y= 7

Step-by-step explanation:

for first,

1. let's take x = 0

then solving this we get

y=3

2. take x=1 then y = 5

3. take x= 2 then y=7

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