F(x)=x^2+10 what is the average rate of change of f over the Interval [-2,-1]?

Answers

Answer 1

Answer: -3

Step-by-step explanation:

The average rate of change is [tex]\frac{f(b)-f(a)}{b-a}[/tex]. All we have to do is to plug in our values.

a=-2

b=-1

f(b)=f(-1)=(-1)²+10=11

f(a)=f(-2)=(-2)²+10=14

With our values listed, all he have to do is to plug them in.

[tex]\frac{11-14}{-1-(-2)} =\frac{-3}{1}=-3[/tex]


Related Questions

Which input was substituted into the function f(x) = x to
create the given graph?
Of(x + 2.5)
Of(x - 2.5)

Answers

Answer: f(x-2.5)

Step-by-step explanation:

he center is consideirng signing up for an online game-rental service rather than buying the games. The table shows equipment cost and monthly fees for two services.
Equipment cost mouthy cost

Net games 99$ 8$

Equipment cost mouthy fee

anytime games 19$ 19$


1. Write and solve an inequality that represents the number of months the center could rent games from NetGames with its $175. Explain the solution in terms of the problem.


2. Write and solve an inequality to represent the number of months the center could rent games from Anytime Games. Explain the solution in terms of the problem.


3. Use your answers from 1 and 2 to justify which service the community center should purchase.

Answers

Answer:

see below

Step-by-step explanation:

From Netgames

175≥ 99 + 8x

Subtract 99 from each side

175-99 ≥ 99-99 + 8x

76≥  8x

Divide each side by 8

76/8 ≥  8x/8

9.5≥  x

He can get up to 9 months along with the equipment

From Anytime

175≥ 19 + 19x

Subtract 19from each side

175-19 ≥ 19-19 + 19x

156≥  19x

Divide each side by 19

156/19 ≥  19x/19

8.210526316≥  x

He can get up to 8 months along with the equipment

Since he can get more months from Netgames, he should rent from netgames

Answer:

The center should rent from Net games

Step-by-step explanation:

1. Net games:

175 ≥ 99 + 8x

175 - 99 ≥ 8x

76 ≥  8x

9.5 ≥  x

It can rent games for 9 and a half months

2. anytime games:

175 ≥ 19 + 19x

156 ≥  19x

8.2 ≥  x

It can rent games for 8 months

3. Since the center can rent games for a longer period of time with Net games (9.5 months compared to anytime's 8 months), it should rent from there.

Hope this helps, and please mark me brainliest if it does!

if you answer this simple question you will get 15 point. but explain and give reason fast

Answers

x is 45 degrees it’s just flipped

Answer:

x = 45 degree as it is an alternate angle we use 135 degree to prove supplementary angles across the straight line add up to 180 degree.

Therefore we prove 180-135 = 45 degree and say all angles on straight line add up to 180 degree, and recognize x is an alternate angle as the arrow straight lines are parallel and create precise alternate lines from which we can prove multiple supplementary and alternate angles.

Supplementary can be either angle will always be supplementary from either 45 degree angle matched with any 135 degree as they don't have to be together to be supplementary they only have to equal 180 degree to be a supplementary angle.

Step-by-step explanation:

2. A city council had a proposal for a new traffic light at an intersection that had a recent
accident. The council decided to take a poll of 284 randomly selected residents and asked if
they would support the construction. Of those polled, 219 stated that they would support the
new traffic light and 45 said they would not. Identify the problem with the study.

Answers

Answer:

A non-response occurred.

Step-by-step explanation:

The study is wrong because the number of people who participated in the pole is not equal to the  number of people who support the pole and the number of people who does not support the pole.

What is Survey?

A survey is conducted in order to collect a piece of specific information from a group of people chosen from the entire population who denotes the entire population for those questions.

Given that the council decided to take a poll of 284 randomly selected residents.

Also, it is given that the 219 stated that they would support the new traffic light and 45 said they would not.

Now, for the pole to be true the number of people who support the pole and the number of people who does not support the pole should be equal to the number of people who participated in the pole.

Further, the total number of people who support the pole and the number of people who does not support the pole is,

Total number of people = 219 + 45 = 264

Since the number of people who participated in the pole is not equal to the  number of people who support the pole and the number of people who does not support the pole. Therefore, the study is Wrong.

Learn more about Survey here:

https://brainly.com/question/17373064

#SPJ2

Fill in the table below by naming each prism and identifying the number of faces, vertices, and edges for each one of them.

Answers

Answer:

Step-by-step explanation:

A prism is a solid figure and geometric in nature having the shape of its ends parallel to each other and its sides are parallelograms. Each prism are classifies based on the shape of its ends that are parallel to each other.

The name of the prism given in question according to their arrangement from left  to right are triangular prism, trapezoidal prism, pentagonal prism and hexagonal prism.

Triangular prism is made up of 5 faces, 6 vertices  and 9 edges

The trapezoidal prism is made up of 6 faces, 8 vertices  and 12 edges

The pentagonal prism is made up of 7 faces, 10 vertices  and 15 edges

The hexagonal prism is made up of 8 faces, 12 vertices  and 18 edges

please help as quickly as possible

Answers

Answer:

54/125

Step-by-step explanation:

2/375, 2/125, 6/125, 18/125

It is obvious the common ratio = 3

The next term = 3*18/125= 54/125

Answer: 54/125

Step-by-step explanation:

What is the degree measure of arc HG?

Answers

Answer:

arc HG = 40°

Step-by-step explanation:

The inscribed angle HFG is one half the measure of its intercepted arc, that is

3x + 2 = [tex]\frac{1}{2}[/tex] (5x + 10) ( multiply both sides by 2 )

6x + 4 = 5x + 10 ( subtract 5x from both sides )

x + 4 = 10 ( subtract 4 from both sides )

x = 6

Thus

arc HG = 5x + 10 = 5(6) + 10 = 30 + 10 = 40°

Answer the questions for 9 points and brainliest
What is the median of the data

Answers

Answer:

40

Step-by-step explanation:

The median is the line in the middle of the box

40 is  the median

30 points !!!please help is this right???

Answers

Answer:

-3k +10

Step-by-step explanation:

-3k - (-8) +2

Subtracting a negative is like adding

-3k +8+2

Combine like terms

-3k +10

Answer:

Its actually not. So first the -3k is already simplified. The --8 becomes +8

its -3k+8+2 =

-3k+10

At least I was first answerer. It really helps to get brainliest, I calculated average so for every 20 questions you get 1 brainliest. I am working my way up to brainliest and questions help. I am also working up to Master Answerer

Each point where vertical cables are attached to the spanning cable of a bridge has forces pulling in three directions. This situation can be modeled in terms of the unknown forces with the matrix equation below Solve this equation for F and round answers to three decimal points​

Answers

Answer:

f1: 0.440, f2: 0.931, f3: 1.519

Step-by-step explanation:

To solve the system of equations we need to use the inverse of matrix A, as follows:

A x F = C

A^-1 x A x F = A^-1 x C

I x F = A^-1 x C

where I is the identity matrix.

The inverse of A is:

          1.450 -0.392 -0.090

A^-1 = -0.074 -0.022 0.1536

         -0.406 0.7122 -0.060

(computed with Excel)

The multiplication between the inverse of A and C gives:

                0.440

A^-1 x C = 0.931

                1.519

(computed with Excel)

Answer:

1f = .441

f2 = .931

f3 = 1.520

Step-by-step explanation:

did it on edge 2020

1. Calculate the volume of a cube with the following measurements. Length = 5 cm Height = 10 cm Width = 16 cm 800 cubic cm 400 cubic cm 31 cubic cm 50 cubic cm

Answers

Answer:

800

Step-by-step explanation:

lol ain't even a cube das a rectangle

WXYZ is a quadrilateral in the coordinate plane which Step will you help to show that WXYZ is a trapezoid. with explanation plz​

Answers

Answer:

Before starting, parallel lines are lines on the same plane that never intersect with each other. From the figure, the pairs of parallel lines would be WX & ZY and WZ and XY. The only correct statement in the choices is letter B.

Answer:

Option A

Step-by-step explanation:

In trapezoid, one pair of opposite sides are parallel.

Parallel lines have the same slope.

So , we have to find the slope of four sides and from that we can show that it is a trapezoid.

Solve the following equation using algebraic operations 3( x-4)= -18

Answers

Answer:

x=-2

Step-by-step explanation:

3( x-4)= -18

Divide each side by 3

3( x-4)/3= -18/3

x-4= -6

Add 4 to each side

x-4+4 = -6+4

x = -2

Answer:

x+ -2

Step-by-step explanation:

-18/3= -6  -6+4=-2

what is the value of x ?

Answers

Answer:

Should be 33 degrees if it is congruen.

Step-by-step explanation:

Answer: 23

Step-by-step explanation:

124 + 33 = 157

180 - 157 = 23

Triangle ABC, with the vertices at A(0,0) B(3,5) and C(0,5) is graphed on the set of axes shown below. Name the solid that is formed when triangle ABC is rotated continuously about side AC and state the radius of the solid

Answers

Answer:

Solid formed will be a CONE

Radius of the cone = 3 units

Step-by-step explanation:

Given points of a triangle are A(0, 0), B(3, 5) and C(0, 5).

Given triangle is a right triangle.

When the given triangle ABC is rotated about a line AC, a 3D image of a solid will be created in the form of a CONE.

This cone will have the radius = BC

Length of side BC = [tex]\sqrt{(y_2-y_1)^2+(x_2-x_1)^2}[/tex]

                              = [tex]\sqrt{(3-0)^2+(5-5)^2}[/tex]

                              = 3

Therefore, radius of the cone = 3 units

Write the following as an algebraic expression. Subtract 6X +4 from 4X -14.

Answers

___________________________________

Hey!!!

Here's your answer:

4x-14-(6x+4)

=4x-14-6x-4

=4x-6x-14-4

=-2x-18

Hope it helps..

Good luck on your assignment_

________________________________

Answer:

[tex]= - 2x - 18 \\ = - 2(x + 9) \\ [/tex]

Step-by-step explanation:

[tex]4x - 14 - (6x + 4) \\ 4x - 14 - 6x - 4 \\ 4x - 6x - 14 - 4 \\ = - 2x - 18 \\ = - 2(x + 9)[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

#stay safe#

if you can do both that will be awesome. tysm

Answers

Answer:

8x + 16 = ?, (16+x) x 8

Step-by-step explanation:

plz help me with my question go to my profile and answer the most recent question i asked

Answer:

[tex]A=8(x+16)\\A=8x+128 \text{ units square}[/tex]

Help with homework! Basic area question.

Answers

Answer:

254.502

Step-by-step explanation:

IF THE "SHADED AREA" MEANS THE CIRCLE, THEN THIS IS THE ANSWER! Whenever you need to find the area of a circle, you always have to multiply pi by the second power of your radius. The radius is just have of the diamater of the circle, which--in this case--is 18. So the radius of this circle would be 9 and the problem would be: A = pi x 9 to the second power. Although since your teacher said that pi was not in fact 3.14159 etc, and instead 3.142, you have to multiply 3.142 times the second power of 9, and you get 254.502. Hope this helped!

Answer:

i believe the answer is: 69.498 cm

Step-by-step explanation:

Help me on this maths please

Answers

Answer: √300.89 or 17.3

Step-by-step explanation:

a^2 + b^2 = c^2

6.7^2 + b^2 = 16^2

b^2 = 16^2 - 6.7^2

= 256 - 44.89

b = √211.11 = 14.5

here to this question we have to use Pythagoras theorem that is

[tex] {a}^{2} + {b}^{2} = {hypotnuse}^{2} [/tex]

here,

a=6.7

b=x (cuz' we don't know it's value)

c= hypotenuse =16

now, substitute these values in the above formula then we get,

[tex] {6.7}^{2} + {x}^{2} = {16}^{2} \\ = 14.529[/tex]

as the answer should be given to 1 decimal place we get 14.529

Please answer the question stated below

Answers

Answer:

$252

Step-by-step explanation:

The price of the computer is $400

On saturday it is on sale for 30% off

30% of 400 or .3 x 400 = 120

400 - 120 = 280

Then, if she gets there before 9am there is an addition 10% off of the sale price (280)

So, 10% of 280 or .1 x 280 = 28

280 - 28 = 252

Hope this helps!

Will mark as Brainlist



Does the equation represent a direct variation? If so, find the constant of variation.
4x -5y = 0

a. yes; k = -5 b. no c. yes; k = 4/5 d. yes; k = - 4

Answers

The answer :

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

subtract the difference of p and a from 3

Answers

Answer:

see below

Step-by-step explanation:

Translating this into math we get 3 - (p - a).

Why is partitioning a directed line segment into a ratio of 1:3 not the same as finding 1/3 the length of the directed line segment?

Answers

Answer:

The answer is C on Edge or "The ratio given is part to part. The total number of parts in the whole is 1 + 3 = 4."

Step-by-step explanation:

Find the exact solution of the equation 7^x=8

Answers

Answer:

exact form:in(8)/in(7) decimal form: x

=

1.06862156

Step-by-step explanation:

Please answer need help

Answers

Least to greatest:
-3.5, -3, -2 1/2, -2, 2.5

What is the value of y?

Answers

Answer: ∠JKM = 106\textdegree and

∠JKM = 74\textdegree

Step-By-Step-Explanation

Since we have given that

∠JKM=10y+6

∠MKL=8y-6

Since they are linear pairs ,

So,

∠JKM =

and

∠MKL =

Which equation is represented by the graph below?

Answers

y= -1/2x+2 since the y-intercept is 2 and the slope is going down by 1/2, you can find the equation using the y=mx+b form

Answer:

hope this helps! pls mark brainliest

Step-by-step explanation:

y= -1/2x + 2

y=mx+b

b is the y intercept which is where the line passes through the point.

m is slope to find slope go to a point (ex- (0,4) and go to the next and to do that is up 1 over 2 which is 1/2 and the line is going left so it's negative

Solve the equation. 5= w/2.2

Answers

Answer:

11

Step-by-step explanation:

[tex]5=\dfrac{w}{2.2}[/tex]

Multiply both sides by 2.2 to isolate w:

[tex]w=5\cdot 2.2=11[/tex]

Hope this helps!

Answer:

[tex] \boxed{\sf w = 11} [/tex]

Step-by-step explanation:

[tex]\sf Solve \ for \ w: \\ \sf \implies 5 = \frac{w}{2.2} \\ \\ \sf \implies \frac{w}{2.2} = 5 \\ \\ \sf Multiple \: both \ side \ by \ 2.2 : \\ \sf \implies \frac{w}{ \cancel{2.2}} \times \cancel{2.2 }= 5 \times 2.2 \\ \\ \sf \implies w = 5 \times 2.2 \\ \\ \sf 5 \times 2.2 = 11 : \\ \sf \implies w = 11[/tex]

Jayne polled 50 students about their preferred after-school sport and then recorded the data in the table below. Which sport is more popular? *

A. 7th
B. 8th
C. Baseball
D. Soccer

Answers

Answer:

Baseball

Step-by-step explanation:

You look at the table and find that 38/50 students play baseball, while the other 12 play soccer.

For both 7th and 8th grade, baseball is the most popular sport. Baseball has 11 votes for 7th grade and 27 votes for 8th grade.

At the start of the week, Crystal’s bank account had a balance of $280. Each day from Monday to Friday, she used her debit card to pay $5 for parking. She wrote a check for $42, and made two deposits of $75 each. She also withdrew $200 in cash at an ATM. What was Crystal’s balance at the end of the week?
Evaluate the expression below to solve the problem.

280 + 5(–5) + (–42) + 2(75) + (–200)
answer down here
$

Answers

Answer:

$163

Step-by-step explanation:

Happily, they've given us the equation already.

280 + 5(–5) + (–42) + 2(75) + (–200)

280 - 25 - 42 + 150 - 200

Keep in mind your negative signs!

280 - 67 + 150 - 200

280 - 67 - 50

213 - 50

= $163

This can all be done on the calculator, but it can also be done mentally or written out, as I've done.

Answer:

Crystal had a balance of $163 at the end of the week

Step-by-step explanation:

hope this helped pls give brainliest!

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