What is the average rate of change of y with respect to x over the interval [-2, 6] for the function y = 5x + 2?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Average rate of change is slope, which is change in y over change in x:

[tex]\frac{[5(6)+2]-[5(-2)+2]}{6-(-2)} =\frac{32-(-8)}{8} =5[/tex]

Answer 2

The average rate of change of the function is 5.

What is the average rate of change of a function?

The sum of the change in the function values (output values) divided by the change in the input values is the average rate of change between two input values.

The given interval is [-2,6] and the given function is f(x) = y = 5x + 2.

The value of the function for x = 6 is:

f(6) = 5(6) + 2

f(6) = 32

The value of f(x) for x = -2 is:

f (-2) = 5(-2) + 2

f(-2) = -10 + 2

f(-2) = -8

The average rate of change of the function is given by:

( f(6) - f(-2) )/ (6 - (-2))

= ( 32 - (-8))/ (6 + 2)

= ( 32 + 8)/8

= 40/8

= 5

Hence, the average rate of change of the function is 5.

Learn more about the average rate of change:

https://brainly.com/question/23715190

#SPJ2


Related Questions

Can someone help please?

Answers

Answer:

C

Step-by-step explanation:

If you reduce 21/28 you get 3/4 and if you reduce 12/16 you get 3/4 which makes them both proportional.

12y = 4x + 8
A=
B=
C=
Can someone please help!!

Answers

12y = 4x + 8

A = 12y -4x + 8

B = 8yx = 8

C = yx =8/8

=yx = 1

Which of the following scenario could be represented by 2/5?

Answers

Answer:   C

Step-by-step explanation: 2 is the numerator so you are dividing 2 by the denominator which is 5. Equation 2/5. So you can cross out A and B because they start with 5 and we need one that starts with 2. Then you can't divide people so your answer would be C because everything can be divided correctly.

Q4: Tell whether side lengths (4, 2, 5) form a Right Triangle.

Answers

Yes they would form a right triangle you can figure this out by adding the two smaller values and if that is equal to a larger number then the larger number then it is a right triangle

A supermarket offers 8 bags of pretzels for $10. What is the cost of 1 bags of pretzels?

Answers

Answer:

$1.25

Step-by-step explanation:

Answer:

$1.25

Step-by-step explanation:

If 8 bags are $10, 1 bag will be 10/8.

10/8=1.25

1 bag of pretzels costs $1.25.

Hope this helps!! Have a great day C:

A man drives 3 km east from home to the store and then 2 km west to a friend’s house. What is his displacement from his starting point at home?

Answers

Answer:

1 kilometer east

Step-by-step explanation:

if you subtract 2 from 3 you get one, plus it's east with the bigger number, so that's why it's one kilometer east

The displacement from his starting point at home is 1 km.

What is a vector?

The quantity which has magnitude, and direction, and follows the law of vector addition is called a vector.

A man drives 3 km east from home to the store and then 2 km west to a friend’s house.

The term "displacement" refers to a shift in an object's location. It is a vector quantity with a magnitude and direction.

The displacement from his starting point at home is calculated as,

Displacement = 3 - 2

Displacement = 1

The displacement from his starting point at home is 1 km.

More about the vector link is given below.

https://brainly.com/question/13188123

#SPJ3

Chang bought 15 pounds of flour for $7.
How many pounds of flour did he get per dollar?
Ũ poundsper dollar

Answers

he got 2.14 pounds of flour for each dollar

Answer:

2.14 pounds of flour per dollar

Step-by-step explanation:

This is a simple ratio. All you need to do is divide the amount he paid from the pounds to get how many he got for every dollar.

Three sides of a triangle are consecutive even integers. The
perimeter of the triangle is 48 in. Find the side lengths of the
triangle.

Answers

Answer:

The side lengths of the triangle are 14, 16, and 18.

Step-by-step explanation:

(x) + (x + 2) + (x + 4) = 48

3x + 6 = 48

3x = 42

x = 14

(14) = 14

(14 + 2) = 16

(14 + 4) = 18

The required lengths of side of triangle are 14 in, 16 in and 18 in.

What is a triangle?

A triangle is a geometric figure with three edges, three angles and three vertices. It is a basic figure in geometry.

The sum of the angles of a triangle is always 180°

Given that,

Sides of a triangle are consecutive integers.

Also given that,

Perimeter of triangle is 48.

Let the sides of triangle are x, x+2 and x +4.

x + x + 2 + x + 4 = 48

3x = 48 - 6

3x = 42

x = 14

The length of the triangles  

x + 2 = 14 + 2 = 16

x + 4 = 14 + 4 = 18

The side lengths of the triangle are 14, 16 and 18.

To know more about Triangle on:

https://brainly.com/question/2773823

#SPJ2

Is 48.4 closest to 49 on a number line

Answers

Answer:

if there are any less than 4.84 then yes it is.

Step-by-step explanation:

please give brainliest and hope this helps

Emma earned $120 at her part-time job.
She also received a bonus of 20% of her
salary for additional hours worked. How
much did Emma earn in all?

Answers

Answer:

She earned $144 in total.

explain how the digit 5 in the number 484.5 and 635.82 are different ​

Answers

Answer:

The decimal point.

Explanation:

in 484.5 the 5 is behind the decimal point. Meaning that it isn't quite a full number.

In 635.82 the 5 is in front of the decimal point. Meaning that this is a whole number.

In digit 484.5, 5 represents the 5 tenth and in digit 635.82, 5 presents 5 ones.

What is place value?

Place value is the estimation of a digit's value based on where it appears in a number

For instance, in digit 27, there are, 2 tens, and 7 ones.

The given digits are 484.5 and 635.82,

In the digit  484.5 the place value of 5 is 0.5 or 5 tenth,

In the digit 635.82 the place value of 5 is 5 or 5 ones.

Therefore, in digit 484.5, 5 represents the 5 tenth and in digit 635.82, 5 presents 5 ones.

To know more about Place value on:

https://brainly.com/question/27734142

#SPJ5

n+5= -5

What is n? Thank you

Answers

Answer:

the answer is -10 -10+5=-5

-10 because 10-+5 so it should be -10

Can someone help me

Answers

m < 1 = 130°

m < 1 = 130°m < 2 = 50°

We know this is a linear pair, therefore the two angles must add up to 180°

[tex](m < 1 )+ (m < 2 )= 180[/tex]

[tex]5x + x + 24 = 180[/tex]

Combine like terms

[tex]6x + 24 = 180[/tex]

Isolate the variable

[tex]6x = 156[/tex]

[tex]x = 26[/tex]

Plug in 26 for x in both of the individual angle equations.

[tex]m < 1 = 5x[/tex]

[tex] = 5(26)[/tex]

[tex] = 130[/tex]

[tex]m < 2 = x - 24[/tex]

[tex] = (26) + 24[/tex]

[tex] = 50[/tex]

A good way to check if we did this correctly, is to add up the two angles. Because 180 + 50 = 180, we did this correctly.

I hope this helped. Let me know if you have any questions!

answer for 5 stars pls I need it quick​

Answers

Answer:The answer is 1/x^12y

Step-by-step explanation:

In Mrs. Kee’s class there are 20 boys and 16 girls. 25% of her students wore a jacket to class. How many students wore a jacket to class?

Answers

Answer: 9

Step-by-step explanation: there are 36 students in total. Since 25% of students wore a jacket, you would multiply 36 by 1/4 which gets you 9, so 9 students wore jackets

Simplify
6 minus the square root of 25 over 4
I would appreciate some help :)

Answers

6-5 (the square root of 25) is 1, so the answer is 1/4 or 0.25

CAN ANYONE PLZZZ HELP ME? I WILL MARK THE FIRST AND THE RIGHT ANSWER THE BRAINLIST!!!

Answers

Answer:

The answer would be 17.

Step-by-step explanation:

Segment addition, step by step on how u figure it out.

Answers

Answer:

Step-by-step explanation:

2x - 8 + x + 17 = 39

3x + 9 = 39

3x = 30

x = 10

2(10) - 8 = 20 - 8= 12 m for AB

10 + 17 = 27 m for BC

please help :) :) Math is hard

Answers

Answer:

Hard math okay cant get

Step-by-step explanation:

Determine the x- and y-intercepts of the graph of x – 4y = 8. Then plot the intercepts to graph the equation.​

Answers

Answer:

the x is -8,0 and the y is 0,2

hope this helps!

Please hurry!! (But no rush, thank you)

Answers

Answer:

The answer is d 3 to the power of 108

Answer:

c

Step-by-step explanation:

:) srry if its wrong

75 is % of 300 what is the answer

Answers

Answer:

25%

Step-by-step explanation:

1/a+1/b=1/x solve for x

Answers

Answer:

x = [tex]\frac{ab}{b+a}[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{a}[/tex] + [tex]\frac{1}{b}[/tex] = [tex]\frac{1}{x}[/tex] ( express the sum on the left as a single fraction )

[tex]\frac{b+a}{ab}[/tex] = [tex]\frac{1}{x}[/tex] ( cross- multiply )

x(b + a) = ab ← divide both sides by (b + a)

x = [tex]\frac{ab}{b+a}[/tex]

Solve
- 5 3/4 - 3 1/2 = ???

Answers

Answer:

-9 1/4

Step-by-step explanation:

- 5 3/4 - 3 1/2

= -23/4 - 7/2

= -23/4 - 14/4

= -37/4

= - 9 1/4

Answer:

-9 1/4 and as a decimal its (Decimal: -9.25)

Step-by-step explanation:

Hopefully i helped <3

Last year Jo paid £245 for her car insurance.
This year she has to pay £883 for her car insurance.

Work out the percentage increase in the cost of her car insurance

Answers

Answer:

The percentage increase in the cost of her car insurance is 260.4%

Step-by-step explanation:

First, we are going to find by how much the insurance increased:

We know that this year she pays £883 and the last year she paid £245, so

insurance increase = £883 - £245

insurance increase = £638

Now, we are going to find what percentage of the last year price is the insurance increase. So, to find the percentage increase in the cost of the car insurance, we need to divide the insurance increase by the last year price and multiply the result by 100%

percentage increase = (\frac{638}{245} )(

245

638

) (100%)

percentage increase = (2.604)(100%)

percentage increase = 260.4%

We can conclude that Jo's car insurance cost increased 260.4%

Which number is IRRATIONAL?
A) 47
B)
0.09
C)
15
D)
8
45

Answers

Your answer would be B. 0.09, the reason being is that any number that has a 0 and then a decimal point is irrational (or a regular fraction


There are 6 m spaces help

Answers

Answer with step-by-step explanation:

If the comparison is 5 cm:6 m, then the numbers would be 5:600. If so, we have to multiply each of the dimensions by 5/600.

7.5 cm = 1/16 m

9 cm = 3/40 m

6 cm = 1/20 m

3.5 cm = 7/240 m

Hope this helped!

Urgent help !!

The word "or" in probability implies that we use which operation?
A. Addition
B. Multiplication
C. Multiplication then subtraction
D. Subtraction

Answers

Answer:

its c

Step-by-step explanation:

i think im sorry if it wrong this a unusal term for operation

2.4(x - 6) = -5.6x + 8​

Answers

Let's solve your equation step-by-step

2.4(x-6)=-5.6x+8

Step 1: simplify both sides of the equation

2.4(x-6)=-5.6x+8

(2.4)(x)+(2.4)(-6)=-5.6x+8 (distribute)

2.4x+-14.4=-5.6x+8

2.4x-14.4=5.6x+8

Step 2: Add 5.6x to both sides.

2.4x-14.4+5.6x=-5.6x+8+5.6x

8x-14.4=8

Step 3:Add 14.4 to both sides

8x-14.4+14.4=8+14.4

8x=22.4

Step 4 : Divide both sides by 8

8x/8 =22.4/8

Answer : x=2.8

Which of the binomials below is a factor of this trinomial?
6x2 - 6x - 72

Answers

[tex]6 {x}^{2} - 6x - 72 = [/tex]

[tex]6( {x}^{2} - x - 12) = [/tex]

[tex]6(x - 4)(x + 3)[/tex]

Other Questions
Cite textual evidence to show that Feng Ru was extremely devoted to his work of creating the airplanes.(The Father of Chinese Aviation) What is 5.2 as a mixed number in simplest form?1. 5 and 1/22. 52/1003.5 and 20/104.5 and 1/5 If using the method of completing the square to solve the quadratic equationx2 - 6x 34 = 0, which number would have to be added to "complete thesquare"? 4. How did the idea of citizenship descend from ancient Rome to modern times?I If 3x+4y=4 and 2x+y=1, then the value of 2x+3y is equal to How was Aryan society organized? A.People were born into strict social classes. B.People were able to move among social classes. C.People were able to select the jobs they wanted. D.People were all treated equally no matter their job.Plz HurryThank You Patriots are people who are loyal to King George III and all of his laws.O TrueO False Blood pressure can be taken by using the carotid artery. This artery is found on the side of the neck. Which region best describes the location of the carotid artery?1. facial2. cervical3. buccal4. cephalic What is 5,200,000 written in scientific notation what was the tool sumerians used to write called What effect have persuasive words had on American history? Include two people you have studied as examples in your answer.WRITE A SMALL ESSAY PLS The Peace Party never had the intention of making Texas an independent republic.Please select the best answer from the choices providedTF If gas costs $2.49 per gallon, how many whole gallons of gas could you buy with $15.00?(Make sure to answer with a whole number. Del libro de espaol de quinto grado cules son las causas y las consecuencias? A screwdriver is dropped from the top of an elevator shaft. Exactly 6.0 seconds later, the sound of the screwdriver hitting bottom is heard. How deep is the shaft? Hint: The distance that a dropped object falls in t seconds is represented by the formula s = 16t2. The speed of sound is 1100 ft/sec. The shaft is approximately (Round to the nearest tenth.) | feet deep. Primero, debes intentar mover tu mueca. Use the correct form of used in this sentence. Which part of Earth is included in the hydrosphere? Help please im struggling can someone please show me please After the initial walk-through, who is now in authority of the crime scene, securing the safety of both people and crime scene, especially the physical evidence?A) the forensic pathologistB) the head crime scene investigatorC) the forensic scientistsD) the judge Suppose point D is in the interior of ABC, mABC=120 degrees, mABD=3x+40, and mDBC=2x10. What is mDBC