The function y=f(x) is graphed below. What is the average rate of change of the function f(x) on the interval −9≤x≤1?

Answers

Answer 1

The average rate of change of the function f(x) on the interval −9≤x≤1 is of:

r = -0.2.

How to obtain the average rate of change of a function?

The average rate of change of a function is obtained by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given by the equation presented as follows:

[tex]r = \frac{f(b) - f(a)}{b - a}[/tex]

Over the interval −9≤x≤1, the bounds of the interval are given as follows:

a = -9, b = 1.

From the graph shown by the image presented at the end of the answer, the numeric value of the function at each of these bounds is given as follows:

f(-9) = 3.f(1) = 1.

Hence the average rate of change of the function on the interval is calculated as follows:

r = (1 - 3)/(1 - (-9)) = -2/10 = -0.2.

Missing Information

The graph is shown by the image at the end of the answer.

More can be learned about the average rate of change of a function at https://brainly.com/question/24313700

#SPJ1

The Function Y=f(x) Is Graphed Below. What Is The Average Rate Of Change Of The Function F(x) On The

Related Questions

Consider the following linear equation.

y=−43x+2
Step 1 of 2 : Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.

Answers

Slope: -1/9

Y-Intercept: 2

the difference between two numbers is 547. one is 268 find the larger​

Answers

Answer:

279

Step-by-step explanation:

What is the first step in estimating the quotient for 492 divided by 50?

Answers

Answer:

10

Step-by-step explanation:

Round 492 to 500, then estimate 500/50

6. Use the data below to make a scatter plot in Desmos and find the
exponential regression equation. Round to the nearest hundredth if
necessary. Do not type spaces.
Time (years)

7. Using your equation from #6, find out how much the Fire Dragons
comic book would be worth in 55 years.
Your answer

Answers

Answer:

I hope that the picture below helps.

Step-by-step explanation:

tire could roll 200 yards in 27.28 revolutions , what is the radius of the tire?

Answers

The radius of the tire is 1.17 yards.

According to the question,

We have the following information:

A tire could roll 200 yards in 27.28 revolutions.

We know that the tire is in the shape of a circle.

We also that the following formula is used to find the circumference of the circle:

2πr where r is the radius of the circle

Now, we have the following expression:

2πr*27.28 = 200

54.56πr = 200

r = 200/54.56π

r = 200/54.56*3.14

r = 200/171.32

r = 1.17 yards

(The unit of the radius will remain same as that of the distance given.)

Hence, the radius of the tire is 1.17 yards.

To know more about radius of the tire here

https://brainly.com/question/13082921

#SPJ1

Explain what the vertical line test is and how it is used

Answers

Answer:

You take a pencil and slowly go across the graph from left to right.  If any two points are under the pencil at any one time, the relations is not a function.  For a relations to be a function, every input must have only one output, so there will be no two points graphed vertically on top of each other.

Step-by-step explanation:

This number line models the division problem ​14÷5​ .

What is the quotient?

Enter your answer as a fraction in simplest form by filling in the boxes.

$$

Answers

The simplest form of fraction (1/4)/5 is 1/20.

What is quotient?

A quotient is the simplest  or resultant value of division of two numbers. In two numbers, one number is dividend and another number is divisor,

quotient=dividend/divisor

The simplest form for fraction (1/4)/5,

(1/4)/5=1/(4×5)

         = 1/20

So, the simplest form of (1/4)/5 is 1/20.

To know more about Quotient on:

https://brainly.com/question/17486526

#SPJ1

I really need help on this one I am confused and if someone could explain that would be great. also I am sorry the picture is flipped I couldn't turn it.

Answers

The hourly rate that the business owner should pay the employees to obtain the desired net income of $40,000 is of:

$17.

How to calculate the net income?

The net income is calculated as the subtraction of the total income by the expenses.

In the context of this problem, the expenses are given as follows:

Building and equipment: $900 a month = $10800 a year.Hearse: $200 per month = $2400 per year.Lead car: $150 per month = $1800 per year.Insurance: $1500 per year.Licensing/Certification: $250.Three employees, each working 20 hours a week = 52 x 20 = 1040 hours a year.

Hence the expression for the net income is given as follows:

110000 - [10800 + 2400 + 1800 + 1500 + 250 + 3(1040x)] = 40000

93250 - 3120x = 40000

3120x = 53250

x = 53250/3120

x = $17 an hour.

More can be learned about net income at https://brainly.com/question/25895372

#SPJ1

Write an equation that has the given solutions. -4, 6​

Answers

Answer: Possible Answers:

x2+x−12=0

x2−x−12=0

x2+3x−4=0

2x2+2x−6=0

x2−4x−3=0

Step-by-step explanation: youer welcome

How many times did the team score less than 60 points?
Stem
4
5
6
7
Leaf
2,5,9
3,4,6,8,8,9
0,2,3,4,4,6,8
0,0,1,2

Answers

The team scored less than 60 nine time. This can be determined simply by counting the number of leaves next to 4 and 5 because they represent numbers in the 40s and 50s

Diana is packing a lunch that will include an orange. Diana has 3 navel oranges, 5 mandarin oranges, and 4 Valencia oranges. If Diana selects an orange at random, what is the probability that she selects a navel orange?

Give your answer as a simplified fraction.

Answers

Answer:

Step-by-step explanation:

1. Ok. Probability is something out of all. Add to get the bottom base of the probability.

3+4+5= 12

2. Probability is something out of something so 3 navel oranges can be represented out of 12 oranges.

3 out of 12

3. Make as fraction:

3 out of 12=

3/12=

1/4 or 25 Percent!

Answer: 1/4 or 25% ( If wanted as Percent)

Answer:

1/4

Step-by-step explanation:

Number of navel oranges = 3.

Number of mandarin oranges = 5.

Number of Valencia oranges = 4.

Let N be an event that Diana selects navel orange.

The total number of oranges Diana has:

n(T)=3+5+4=12n(T)=3+5+4=12

Number of navel Oranges is:

n(N)=3n(N)=3

The probability that Diana selects a navel orange is:

P(N)=n(N)n(T)=312=14P(N)=n(N)n(T)=312=14

Hence, the probability that Diana selects a navel orange is 1414.

HElp using trigonometry how do I solve this?

Answers

By using trignometry we got the side p as 6.67

Use the cosine rule of trignometry to find side p

p² = r² + q² - 2rqcosP

To find the angle of p we will simply subtract angle R and angle Q from 180.

180 - 47.28 - 40 = 92.72

p² = 8² + 7² + 2(8)(7)cos(92.72)

p² = 107.685

p = √107.685

p = 10.38

Let's suppose that the shortest distance of R from PQ is .

look at the diagram I gave

since the line I made makes a right angled triangle, we can use SOH CAH TOA

for the angle 40,  is opposite and 10.38 is hypotenuse

which means we will have to use SOH

sin40 = O/H

sin40 =x /10.38

0.6428 = x/10.38

0.6428 × 10.38 = x

x = 6.67

Hence, by using trignometry we got the side p as 6.67

To learn more about heights and distance refer here

https://brainly.com/question/25748640

#SPJ1

Disclaimer,

The given question is incomplete, the answer is done based upon a similar question. The question is given in the image attached.

Which of the given formulas for the general term of the sequence 8, 5, 2, –1, –4, ...

is correct?
a. tn = −3n + 11
b. tn = 3n + 11
c. tn = 3n + 8
d. tn = 3n − 8

Answers

The term is tn=-3n+11

From the question, we have

The sequence is 8, 5, 2, –1, –4, ...

d = 5-8 = -3

t1 = 8

tn = t1+(n-1)d

tn=8+(n-1)(-3)

tn=8-3n+3

tn=-3n+11

Addition:

The phrase "the addition" refers to combining two or more numbers. Adding two numbers is indicated by the plus sign (+), therefore adding three is written as three plus three. Additionally, the number of times the plus symbol (+) is used is up to you. For example, 3 + 3 + 3 + 3. Mathematical addition is a crucial component of the learning curriculum for kids. In primary school, students learn simple addition sums such as one-digit facts,

Math addition sums, and double-digit Math addition sums. One of the most fundamental and interesting

Math concepts for elementary school children is addition sums. Math is a fascinating subject, and children first learn basic mathematical concepts like adding numbers in their early years.

To learn more about addition visit: https://brainly.com/question/680614

#SPJ1

Best Buy has an iPad for $540. This weekend it’s on sale for 30% off. Best Buy charges 8% sales tax. If you were to purchase this iPad this weekend, what is the amount of money do you give the clerk? Show your work.

Answers

Answer:

Step-by-step explanation:

540x0.30=378

378x0.08=30.24

378+30.24=408.24

Suppose that the functions and are defined as follows.

Find the following.

Answers

The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))= -38

Given that,

All real numbers x are defined by the functions r and s.

r(x) =2x+1

s(x) =-2x²-2

We have to find the expression

r( s(-3))

Take the functions,

r(x) =2x+1

s(x) =-2x²-2

Now, Take

r( s(-3))

Substitute s function first

r(-2(-3)²-2)

r(-2(9)-2)

r(-18-2)

r(-20)

Now substitute r function

2(-20)+2

-40+2

-38

Therefore, The expression we get from the given functions r and s defined for all real numbers x.

r( s(-3))=-38

To learn more about expression visit: https://brainly.com/question/14083225

#SPJ1

ron picked 7/10 bushels of apples ben picked 9/10 bushels of apples how many apples did they pick all together give your answer in lowest terms

Answers

7/10+9/10=16/10=8/5bushels of apples

what is f(2) for f(x) = 3^x--13

Answers

f(2) = -4

Step-by-step explanation:

f(2) = 3^2-13

f(2) = 9-13

f(2) = -4

help with this equation ​

Answers

The equation of the line with coordinates (-7,3), (8,3) is y-3=0 as the slope of line is 0 because x-ordinate is same in both the points.

What is equation?

A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.

The two point form of equation,

y-y1=m(x-x1)

m=(y2-y1)/(x2-x1)

m=(3-3)/(8--7)

m=0

y-3=0(x+7)

y-3=0

Because the x-ordinate is the same at both points, the equation for the line with coordinates (-7,3) and (8,3) is y-3=0.

To know more about equation,

https://brainly.com/question/10413253?referrer=searchResults

#SPJ1

which of these statements below are true? Select all that apply

Answers

Answer:

Step-by-step explanation:

the answer is D i'm pretty sure

HI i need this questions answer as soon as possible WITH STEPS PLEASE

Answers

Answer:

210

Step-by-step explanation:

200 × (5% + 1)

=200 × (0.05 + 1)

=200 × 1.05

=210

yan po hope it helps

It takes a word processor 30 minutes to word process and spell check 4 pages. Find how long it takes her to word process and spell check 22 pages.

Answers

It will take the word processor 165 minutes to check 22 pages

How to determine the time to check the pages?

The given parameters in the question are:

Speed = 30 minuter per 4 pages

Number of pages = 22 pages

The number of hours to check the pages can be calculated using the following equation

Time = Speed * Number of pages

Substitute the known values in the above equation So, we have the following equation

Time = 30/4 * 22

There is no unit to convert

So, we have

Time = 30/4 * 22

Evaluate

Time = 165

Hence, the time is 165 minutes

Read more about unit rates at

https://brainly.com/question/19493296

#SPJ1

pls help ill give brainliest

Answers

Answer:

(- 12, 10 )

Step-by-step explanation:

2x + 4y = 16 → (1)

- 2x - 3y = - 6 → (2)

add (1) and (2) term by term to eliminate x

0 + y = 10

y = 10

substitute y = 10 into (1) and solve for x

2x + 4(10) = 16

2x + 40 = 16 ( subtract 40 from both sides )

2x = - 24 ( divide both sides by 2 )

x = - 12

solution is (- 12, 10 )

Answer:

(- 12, 10 )

Step-by-step explanation:

mark the person above me as brainliest

Getting rain at least once in 11 days if Probability of rain on each single day is 0.4

Answers

Answer:

because u can't predict the days rain will fall so u can say it will fall in ratio 0:4

3(20/3)/2-5 Como se resuelve este??? Ayuda

Answers

I don’t speak spanish, but the answer is 5.

what is the domain and range of
{(3,2).(6,5),(9,9)}

Answers

Check the picture below.

Find the equation (in slope-intercept form) of the line

slope: 85, ordered pair: (0,−43)

Answers

The equation in slope-intercept form is y = 85x - 43

How to determine the equation of the line?

The given parameters are

Ordered pair, (x, y)= (0, -43)Slope, m = 85

A linear equation is represented as

y = m(x - X) + Y

Where m is the slope

Substitute the known values in the above equation

So, we have the following equation

y = 85(x - 0) - 43

Evaluate

y = 85x - 43

Hence. the linear equation is y = 85x - 43

Read more about linear equation at

brainly.com/question/14323743

#SPJ1

Please I need help to doing this pleaseee help me

Answers

The equation of line in the given graph with coordinate points (2,-2) and (-3,-6) is 4x-5y=18.

What is equation of line?

A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept. Linear equations are classified into three types: point-slope, standard, and slope-intercept. The equation of a two-dimensional line is ax+by=c; it is fair to predict that the equation of a three-dimensional line is ax+by+cz=d; reasonable, but incorrect—it turns out that this is the equation of a plane. A plane, unlike a line, does not have a clear "direction."

Here,

The coordinates of line will be (2,-2) and (-3,-6).

slope m=(-6-(-2))/(-3-2)

=-4/-5

=4/5

(y-y1)=m(x-x1)

y+2=4/5(x-2)

5(y+2)=4(x-2)

5y+10=4x-8

4x-5y=18

4x-5y=18 is the equation of the line in the given graph with coordinate points (2,-2) and (-3,-6).

To know more about equation,

https://brainly.com/question/10413253?referrer=searchResults

#SPJ1

I need an answer ASAP. A football player runs the ball from the 20-yard line on one side of the field to the 20-yard line on the other side. How many yards did the player run?? 100 pts and the brainliest.

Answers

The player ran 60 yards on the football field

How to find the distance covered by the player

A football field measures a length of 100 yards, using subtraction the required dimensions are calculated

The player started form 20 yards line to 20 yard of the other end of the field

The player did not ran the initial 20 yards and the finial 20 yards

this added to give 40 yards

Length covered by the player

100 yards - 40 yards =  60 yards

Learn more about football field here:

https://brainly.com/question/29399743

#SPJ1

A basic cellular package costs $40 /month for 60 minutes of calling with an additional charge of $0.20 /minute beyond that time. The cost function C(x) for using x minutes would be

If you used 60 minutes or less, i.e. if if x≤60 , then C(x)=40 (the base charge).
If you used more than 60 minutes, i.e. (x−60) minutes more than the plan came with, you would pay an additional $0.20 for each of those (x−60) minutes. Your total bill would be C(x)=40+0.20(x−60) .


If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use?

Answers

Answer:

78

exclamation is that if 50 is lower than 60 which it is meaning that 78 is the correct answer if you multiply 18 + 34 that is not the right answer but there should be a right answer under this question you shouldn't trust me because I do not give a what the answer is I do not suggest you write down this answer but you do your top G

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

To keep your bill at $50 or lower for the month, you need to set up an inequality using the cost function C(x):

C(x) = 40 + 0.20(x - 60)

Since you want to keep the cost at or below $50, the inequality is:

C(x) ≤ 50

Now, substitute the expression for C(x) into the inequality:

40 + 0.20(x - 60) ≤ 50

40 + 0.20x - 12 ≤ 50

0.20x + 28 ≤ 50

Now, isolate the term with "x" on one side by subtracting 28 from both sides:

0.20x ≤ 50 - 28

0.20x ≤ 22

Finally, divide both sides by 0.20 to solve for "x":

x ≤ 22 / 0.20

x ≤ 110

The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.

Learn more about maxima here:

https://brainly.com/question/12870695?

#SPJ2

Deshaun's gas tank is 1/4 full. After he buys 9 gallons of gas, it is 5/8 full. How many gallons can Deshaun's tank hold?

Answers

Answer:

Step-by-step explanation:

so what is the difference from 1/4 to 5/8 ?   is the question

2/8=1/4

5/8-2/8 = 3/8

9 gallons of fuel fill 3/8 of the tank

since 3/8 is 9 gallons we can see that 1/8 will be 3 gallons or 9/3=3

then multiply 3 gallons by the 8 parts for the whole tank

3*8=24 gallons.

Than tank can hold 24 gallons

Other Questions
What study strategies will mosthelp you improve If bugs did disperse there are trade-offs. What is one potential cost and one potential benefit from dispersing from one plant to another?. according to belton, both horror and science fiction genres focus on what it means to be: A teacher is four times as old as a student in 20 years the student age will be half of the teacher age how old are they now Post-assessmentQuestion 6 of 10How can you best manage the impact that people and the thingsaround you have on your life?Ignoring their impact and moving onConsidering how they affect your familyUnderstanding how they affect your peersUnderstanding how they affect your thoughtsSubmit in a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 1/3 of the drink in apple juice and 1/2 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest formURGENT What random acts of kindness have you received this year? What was one challenge with the Chairman of Senate Foreign Relations Committee thatPresident Woodrow Wilson faced? The height of a plant grew linearly over the course of a month. Initially the plant was 2 inches tall and it grew at an average rate of change of 0.125 inches per day.a. Find an equation that models the height of the plant H in terms of the number of days d.b. Determine the height of the plant after 15 days. Which statement describes the Giant Impact (also called the Big Whack) Theory?A. The Moon and the Earth formed separately in about the same locations.B. The Earth used to be larger and was spinning so fast a "glob" spun off it and became theMoon.C. A Mars-sized object crashed into Earth, spraying debris into space, some of which becamethe Moon.D. The Moon formed past Uranus, but got pulled closer to the Sun and then got trapped in theEarth's gravitational field. Draw the structure of the major organic product formed in the reaction of 1methylcyclohexene with bromine in water. What would be the compound interest obtained on an amount of $4800 at a rate of 5% per annum for 3 years?A $448.7B) $817.8C)$623.5D $756.6 What does s equal in 3s=24 12. Some American presidents were large men: Grover Clevelands nieces and nephews called him Uncle Jumbo, and William Howard Taft tipped the scales at 330 pounds.a. Factb. Opinionc. Fact and opinion 50pts!The average density of an object is 0.46 kg/m3. Which of these images is correct after the object is placed in olive oil with a density of 0.92 kg/m3?Will the cube sink?Will the cube float?Will the cube be suspended?I have no clue, but maybe you do Write a linear equation that has m=-4 and passes through (5,9)! An object is acted upon by two forces 100N and 80N. Calculate the resultant of two axis, if they are acting at angle of 120 too each other. Hugo has been asked to create a detailed plan for the series of steps it will take to bring a new app to market. what role is he playing on his team? question 8 options: caretaker taskmaster proceduralist director to not violate title vii's prohibition of discrimination based on religion, an employer may have to make changes in the way her business is organized to meet religious requirements of the employees. employers are required to incur: Use the details in the chart to determine the theme of the story.A. If you practice enough, you can succeed at almost anything.B. if you have a presentation to give, you should be prepared.C. if someone believes in you, you can begin to believe in yourself.D. if you need courage, you should carry a family notebook.