In two or more complete sentences, explain how to find the average rate of change of a function

Answers

Answer 1
You divide the change in the output value by the change in the input value.
Answer 2
only the beginning and ending data would be used to reveal average rate of change over the specified period of time. to find the average of change, divide the change in the output by the change in the input.

when given the value of a function at different points, calculate the average rate of change of a function for the interval between two values. calculate the difference between y2-y1 and x2-x1. then divide y/x to find the ratio.

Related Questions

what is the gradient?

Answers

Answer:

[tex]{ \tt{gradient = \frac{ - 3 - 1}{0 - ( - 1)} }} \\ = \frac{ - 4}{1} \\ = - 4[/tex]

Answer:

The gradient (slope) is -4.

Step-by-step explanation:

Note that two points on the graph through which the blue line passes exactly are (-2, 5) and (0, -3).  As we move from the first point to the second, x increases by 2 (the 'run') and y (the 'rise') decreases by 8.  Thus, the gradient, or slope, of this line is m = rise/run = -8/2, or m = -4.

Quadrilateral

A

R

M

Y

ARMYA, R, M, Y is rotated

9

0



90



90, degrees about the origin.

Answers

Answer:

See explanation

Step-by-step explanation:

From the question, we understand that the quadrilateral is rotated by 90 degrees about the origin.

The question is incomplete; so, I will give a general explanation.

The rule for 90 degrees rotation about the origin is:

[tex](x,y) \to (-y,x)[/tex]

For instance:

A point (4,6) will become (-6,4) after rotation.

(x,y)>>>>>>>>(-y,-x) is correct

What is 1/2[4x + 6(2 + 2x)]

Answers

Answer:

8x+6

Step-by-step explanation:

1/2[4x + 6(2 + 2x)]

Work inside out

Distribute inside

1/2[4x + 12 + 12x)]

Combine like terms

1/2[16x +12]

Distribute

8x+6

[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]

[tex]\sf{\dfrac{1}{2}[4x+6(2+2x)] }[/tex]

[tex]\sf{\dfrac{1}{2}[4x+12+12x] }[/tex]

[tex]\sf{\dfrac{1}{2}[16x+12] }[/tex]

[tex]\sf{\dfrac{1}{2}[2(8x+6)] }[/tex]

[tex]\sf{\dfrac{1}{\cancel{2}}×\cancel{2}(8x+6) }[/tex]

[tex]\sf{ 8x+6 }[/tex]

[tex]\sf{ }[/tex]

Express the extended fraction at the right as a simple fraction in lowest terms.

Answers

Answer: 5/2

Yes it has to be 5/2

Answer:

5/2

Step-by-step explanation:

Olivia pays $189 for a painting, including tax.

If the actual price is $179.50, what is the sales tax rate?

Answers

0.05 or 5%

1. you would take 189 and subtract 179.50

2. from that you would get 9.50

3. you would then divide 9.50 by 179.50

4. therefore the tax rate would be 0.05 or 5%

The sales tax rate = 5.29%

What is the formula for tax rate?

"Tax rate = (Tax amount / Price before tax) × 100% "

What is the formula for tax amount?

"Tax amount = Final price - Price before tax"

For given question,

Olivia pays $189 for a painting, including tax.

⇒ Final price = $189

The actual price of the painting is $179.50

⇒ Price before tax = $179.50

Using the formula of tax amount,

Tax amount = Final price - Price before tax

Tax amount = 189 - 179.50

Tax amount = 9.5

Now we find the sales tax rate.

Using the formula of tax rate,

Tax rate = (Tax amount ÷ Price before tax) × 100%

Tax rate = [tex]\frac{9.5}{179.50} \times 100~\%[/tex]

Tax rate = 5.29%

Therefore, the sales tax rate = 5.29%

Learn more about the tax rate here:

https://brainly.com/question/16890531

#SPJ2

Can Some1 Tell Me the answer?

Answers

Answer: D

Step-by-step explanation:

Answer: D(2.8a-12a-3.6

hope that helped <3

Please answer this question will give brainiest please answer

Answers

Answer:2 and 3

Step-by-step explanation:

Option 3

Good luck on your assingment hope this helps :)

Can someone please help me with this question I need to find the unit rate.

Answers

First we have to take any point, I'll take (5,3).

X-axis represents number of pounds and y-axis represents total cost (in $).

So, 5 pounds = $3

=> 1 pound = $3/5

=> 1 pound = $0.6

=> 1 pound = 60 cents

Answer:

60c per pound.

Step-by-step explanation:

If 5lbs cost 3 dollars, 1lb = 3/5

3/5 = 0.6$

60c

!PLEASE EXPLAIN IT EASY SO I UNDERSTAND IT!

Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:


Year Lawn Care Fee
2000 $750
2010 $1350


A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.

Answers

$1350-$750=$600
2010-2000=10 years
600/10=$60 increase per year
a) since elliot started with $750 in 2000 and he started working in 2000 that would be his initial fee and every year he increased his fee by $60.
b) y=60x+750

Answer:

Rate of Change: $60 Per year

Step-by-step explanation:

We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.

So,

2000:750

2001:810

2002:870

2003:930

2004:990

2005:1050

2006:1110

2007:1170

2008:1230

2009:1290

2010: 1350

You can graph it out with that, now.

Which coordinate grid shows Point A at (0.25, −1.75)?

Answers

Step-by-step explanation:

If possible, please provide a picture otherwise we do not know what to answer. First move 0.25+ along the x axis, then -1.75 in the y direction. it should look like this

0.25 along with x-axes

PLEASE HELP
Write an equivalent expression for -5x+3×2.5x

Answers

Answer:

2.5x

Step-by-step explanation:

-5x+3*2.5x

Multiply

-5x+7.5x

Combine like terms

x(-5+7.5)

2.5x

11 and 14 please!! I’ll give Brainlist please

Answers

Answer:

11. p-(780/6) or p-130

14. 12

Step-by-step explanation:

11. 780/6 because there are 6 people so we split it evenly.

14. 24/2 = 12

For number 14 the answer is going to be 12 feet per second

please help me answer this question quickly

Answers

Answer:

A and D is true.

(see how to solve in pic)

A and D i can explain if needed

Please answer my question and explain it.

Answers

Answer:  Choice D

================================

Work Shown:

4  1/2 = 4 + 1/2 = 4 + 0.5 = 4.5

In short, 4  1/2 cups is the same as 4.5 cups

---------

1 cup = 8 fluid ounces

4.5*(1 cup) = 4.5*(8 fluid ounces) .......  multiply both sides by 4.5

4.5 cups = 36 fluid ounces

Answer:

D

Step-by-step explanation:

Find the sum of the counting numbers from 1 to 25 inclusive. In other words, if S = 1 + 2 + 3 + ... + 24 + 25, find the value of S.

Answers

Answer:

325

Step-by-step explanation:

You must have heard about Arithmetic Progressions (AP)

Arithmetic progressions are a series of numbers such that every successive number is the sum of a constant number and the previous number.

Our very own counting numbers form AP

For example :-

2 = 1 + 1

3 = 2 + 1

4 = 3 + 1

The number in bold (1) is that constant number which is added to a number to form its successive number.

To find the sum of series forming AP, we use the formula :-

[tex]sum = \frac{n}{2} \{ a + a _{n} \} [/tex]

here,

n is the number of termsa is the first number of the series an is the last number of the series

So we'll use all this information to find the sum of continuous numbers from 1 to 25 where 1 is the first term(a) and 25 is the last(an).

and n is 25

[tex]S = \frac{25}{2}\{ 1 +25\} [/tex]

[tex] = \frac{25 \times 26}{2} [/tex]

[tex] = 25 \times 13[/tex]

[tex] = 325[/tex]

So, the value of S comes out to be 325.

Answer:

s= 325

Step by step explanation:

Add all numbers 1 to 25 to get 325.

Find the missing numbers.

Answers

Answers

1. 6
2. 1
3. 4

Answer:

Step-by-step explanation:

1÷4 / 6÷1 = 1÷4 × 1÷6 = 1/(4×6)

A 1400-seat theater sells two types of tickets for a concert. Premium seats sell for $30 each and regular seats sell for $20 each. At one event $33,950 was collected in ticket sales with 10 seats left unsold. How many of each type of ticket was sold?

Answers

Answer:

x = 638

y = 1190 - 638 = 552

Step-by-step explanation:

Let x = premium seats

let y = regular seats

x + y = 1190         (ten were not sold

30x + 20y = 30180    (amount collected

now multiply the first equation by 20 and subtract

20x + 20y = 23800

30x + 20y = 30180

-10x = -6380

x = 638

y = 1190 - 638 = 552

check it by multipying x and y by their price to see if you come up with the correct amount

Hope this helps

premium seats sold : 638
Regular seats sold: 552

The 1,450 students at Classical Academy were surveyed about their use of text messaging. How many students said they text 0-50 times a day?

Answers

Answer:25

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

The table below shows the number of cruise ships in a harbor on various days.
(table pic attached)

a. Write an expression for the total number of cruise ships in the harbor on Monday and Tuesday.

b. Write an expression for the total number of cruise ships in the harbor on all 5 days.

Answers

part a is 2x+5 because you add monday’s equation and tuesday’s
part b is 7x+2 because you add all equations together

NEED HELP PLEASE- ANSWER BOTH TASKS, WILL MARK BRAINLIEST

Task 1 - Nonlinear Systems of Equations

Create a system of equations that includes one linear equation and one quadratic equation.
-
Part 1. Show all work in solving your system of equations algebraically.
-
Part 2. Graph your system of equations and show the solution graphically to verify your solution.
-
Task 2 - Polynomial Identities

Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator.
-
Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.
-

Answers

Answer:

f(x)5.79(3)^2 for task 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

Task 1:

Non linear systems of equations:

x + y = 1 -------------------(I)     {Linear equation}

     y =  1 - x

y = x² - 5 ---------------(II)   {Quadratic equation}

Substitute y =1 - x in equation (II)

(II) -->   1 -x = x² -5

Add 'x' to both sides

1 = x² + x - 5

0 = x² + x - 5 - 1   {Subtract 1 from both sides}

x² + x - 6 = 0

x² + 3x - 2x - 6 = 0    {Rewrite the middle term}

x( x + 3) - 2(x + 3) = 0    

(x + 3)(x - 2) = 0

x + 3 = 0       ;  x - 2 = 0

x = - 3   ; x = 2

When x =  - 3 ,   y = 1 -(-3 )

                              = 1 + 3

                             y = 4

When x = 2  ; y = 1 - 2 = -1

Solution of the equations:  (-3,4)  & ( 2,-1)

Task 2:

Part 1: x = 40   ; y = 30

(x - y)² = x² - 2xy + y²

(40 - 30)² = 40² - 2*40*30 + 30²

               = 1600 - 2400 + 900

               = 2500 - 2400

                = 100

Part 2:

a = 10 , b = 11

a³ + b³ = (a + b)(a² - ab +b²)

(10)³ + (11)³ = (10 +11)(10² -10*11 + 11² )

              = 21* (100 - 110 + 121)

              = 21 * ( 221 - 110)

              = 21 * 111

              = 2331

             

If 8 apples can make 3 pies, then how many pies can you make with 24 apples?

A: 64
B: 24
C: 11
D: 9
E: 6

Answers

D answer is 9 , 24/8 = 3
3x3=9
The answer is D because 8 apples are part of the 24 apples which means that 24/8 = 3 which is 3 pies and 3 pies times 3 pies makes 9

Please help me fast! I will give brainly

This is the question,

YOU BE THE TEACHER Your friend says that because of the order of operations, the expressions are equivalent. Is your friend correct?

10-(5x2)+7 or 10-5x2+7

Yes or No

And Explain the answer

Answers

Answer:

He's correct.

Step-by-step explanation:

As long as there is no change in sign of the variables.

10-(5x2)+7 or 10-5x2+7

a woodworker makes 238 wooden bowls a month. At the rate, how many bowls will he make in 12 months?

Answers

Answer:

2856

Step-by-step explanation:

if you multiply 238 by 12

you will get the ans

Answer: 2856

Step-by-step explanation:

A woodworker makes 238 bowls in a month: this is the unit rate. To find how many bowls will be produced by the woodworker in 12 months,  multiply the unit rate by 12.

math problem for highschool

Answers

Answer:

297 units squared

Step-by-step explanation:

You just have to break the squares down and compare them to the other sides of the squares.  For example, F is a 4 by 4 square and B is a 5 by 5 square, to find the dimensions of square E, you would just subtract 5 by 4.  By looking at the side relationships of the squares, you can easily find the dimensions of each one.

A - 9 by 9

B - 5 by 5

C - 6 by 6

D - 7 by 7

E - 1 by 1

F - 4 by 4

G - 8 by 8

H - 5 by 5

Multiply and add to get 297

Answer:

297 units squared

Step-by-step explanation:

i dont understand this

Answers

Answer:

you should use pythagorus theoram

h square=b square plus p square

The little box on the right angle is 90degrees and the other angle whatever it is, just add those 2 together and subtract from 180 there’s your answer

Choose 3 of the following to write using a single, positive exponent: 2^-7, 3^-23, 11^-8, 4^-9, 2^-32, 8^-3. pls, hurry don't have much time! Ill give brainliest!!!

Answers

Answer:

1,3 and the last one

Step-by-step explanation:

1,3 and last step!!!!!

Final Exam 7/28/21
Score: 20/24 20/27 answered
Progress saved Done
6 VO
.
Question 2
<
>
B0/1 pt 53 19 Details
Find a degree 3 polynomial having zeros - 3, 4 and 7 and the coefficient of 23 equal 1.
The polynomial is
Question Help: Video
Submit Question

Answers

Answer:

x^3-8x^2-5x+84

Step-by-step explanation:

The polynomial can be found by expanding (x+3)(x-4)(x-7)=x^3-8x^2-5x+84

after a gymnastic competition, the coaches reviewed all the gymnasts scores to identify areas for improvement. a missed landing on an aerial cartwheel deducts 2 points from the score. the coaches found that aerial cartwheels were missed 5 times across the competition. how did these missed landings affect the scores overall

Answers

Answer: The missed points will subtract 10 from the total score.

Step-by-step explanation:

A missed landing subtracts 2 points.

If they miss the landings 5 times, you know have a problem of 5x2.

5x2=10

Therefore, The points will subtract 10 from the total score.

a single piece of sod is typically rectangular in shape and measures 46 cm wide and 1.5 m long. Assuming that you can cut the sod, how many pieces of sod would be required to cover the following lawn?

Answers

The question is incomplete

Answer:

could you add more information?

Step-by-step explanation:

Mr. Baldwin is packing the shipping box with ring boxes that are cubes with an edge length of 2/3 inches. if he completely fills the shipping box, how many ring boxes can he ship?

Answers

Answer:

I’m sorry but is this all the information given? Because this is incomplete.

Step-by-step explanation:

There has to be some other directions or inage attached (if there was supposed to be attached, i dont see it)

This should include the dimensions of the shipping box.

Exactly what they said ^^^^^^^^^
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In 1883 who was responsible for creating the first system of time zones in the United States? write a short note on akaryotic cells what can make you become a stronger communicator? Is this table a function why or why not? Which statement best describes how to determine whether f(x) = x2 - x + 8 is an even function?CUO Determine whether x2 - (-x) + 8 is equivalent to x2 X + 8.Determine whether (-x)2 (-x) + 8 is equivalent to x2 X + 8.O Determine whether -x2 - (-x) + 8 is equivalent to -(x2 - X + 8).O Determine whether (-x)2 (-x) + 8 is equivalent to -(x2 X + 8).THIS IS 60 POINTS BTW People began to have a more personal and emotional religious experience, as well as questioning the authority of the church during the _______________MayflowerNew Amsterdam Great awakening Bacons Bebellion American Revolution can be interpreted in which way which of the following are human activities that can negatively impact ecosystems. __ (5 + 4) = 2 * 5 + 2 * 4PLEASE EXPLAIN HOW YOU GOT THE ANSWER rewrite 7/10 and negative 2/5 Designing shoes is hard work. It will pay off in the end.Identify the sentence that combines the above passage into a complex sentence.Designing shoes is hard work, but it will pay off in the end. Designing shoes is hard work; however, it will pay off in the end. Designing shoes is hard work; it will pay off in the end. Although designing shoes is hard work, it will pay off in the end. A derivative work is also granted copyright protection with a half paid write up. Give four examples of such work. Pls help .ZZZZZZZZA 5. A child rides a pony on a circular track with a radius of 5 m Find the distance traveled and the placementafter the child has gone halfway around the track (8) Does the distance traveled increase, decrease, or stay thesame when the child completes one circuit of the track? Does the displacement increase, decrease, or stay thesame? Explain. (C) Find the distance and displacement ter a complete circuit of the track During normal beating, the heart creates a maximum 4.10-mV potential across 0.350 m of a person's chest, creating a 1.00-Hz electromagnetic wave. (a) What is the maximum electric field strength created? V/m (b) What is the corresponding maximum magnetic field strength in the electromagnetic wave? T (c) What is the wavelength of the electromagnetic wave? 2. . Complete the following past simple and continuous events. Choose the correct alternative (10 points)1. Sylvia _____________ when she ___________ the DVDs.a) was running / droppedb) ran / droppedc) was running / was droppingd) ran / was dropping 2. While Steve ___________ a documentary, he __________ asleep.a) was watched / fellb) was watching / fellc) watched / was fallingd) was watching / felt3. They _________ when you _________ for remote control.a) aren't listening / were askingb) weren't listening / were askingc) weren't listening / askedd) listened / asked How many meters are in 10 miles? use the formula v=u+at to find the velocity when the initial velocity is 3m/s2 the time is 7 seconds I need help ASAP thank you Progress is impossible without change, and those who cannot change their minds cannot change what is a example of this quote