how to find the average rate of change if the function​

How To Find The Average Rate Of Change If The Function

Answers

Answer 1

Answer:

14

Step-by-step explanation:

Average rate of change is given as [tex] \frac{f(b) - f(a)}{b - a} [/tex]

Where,

a = 4,

f(a) = f(4) = (4)² + 3(4) = 16 + 12 = 28

b = 7,

f(b) = f(7) = (7)² + 3(7) = 49 + 21 = 70

Plug in the values into the formula

Average rate of change = [tex] \frac{70 - 28}{7 - 4} [/tex]

[tex] = \frac{42}{3} = 14 [/tex]


Related Questions

who was the first priminister​

Answers

Answer:

Sir Robert Walpole, who led the government of Great Britain for over twenty years from 1721

Step-by-step explanation:

good luck!

evaluate the question​

Answers

Answer:

A) 5/6

B) -67/30 (or) -2 7/30

A) -9/2 (or) -4 1/2

Step-by-step explanation:

A) 2/3(5)-5/2=3 1/3-5/2 = 10/3-5/2 = 20/6-15/6= 5/6

B) 2/3(2/5)-5/2= 4/15-5/2 = 8/30-75/30 = -67/30

A) 2/3(-3)-5/2=-2-5/2= -4 1/2

The seventh-grade class is building target areas for a PE activity. The bases for the game will be in a circular shape. The diameter of each circle is 6 feet. Approximately how many square
feet of the turf need to be painted for a base circle? Use 3.14 for it and round your answer to the nearest tenth.
O 7.5 square feet
O 9.4 square feet
O 18.9 square feet
O 28.3 square feet

Answers

Answer:

28.3

Step-by-step explanation:

pi r^2 = area of circle

6/2 = radius

3.14(3)^2

28.26 -> 28.3

It’s 7.5 square feet if not try 28.3 square feet

Solve the problem.
A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is
28° . The lighthouse is 200 feet tall. How far away is the boat? Round to the nearest foot.

Answers

Tan 28= 200/x

x=200/ tan 28

x=376.14

x=376

Step-by-step explanation:

Hope this helps!

The boat is x=376 foot away from the light house.

A person is watching a boat from the top of a lighthouse. The angle of depression from the person to the boat is 28°. The lighthouse is 200 feet tall.

What is trigonometry?

Trigonometry is defined as the study of angles.

Let the boat is x distance away from the lighthouse

assume a right-angle triangle ABC with AB =perpendicular=200, BC = base=X,  Angle CAB = 28°(angle of depression means the angle from the boat to the top of lighthouse is also 28°)

tan28 = 200/X
X = 200/tan28
X = 376 foots

Thus, The boat is x=376 foot away from the lighthouse.

Learn more about trigonometry here:
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Someone please help me answer this!!

Answers

Answer:

1.75 x 10^5

Step-by-step explanation:

Answer:

[tex]1.75 \times {10}^{ - 5} [/tex]

find the value of Y! please help

Answers

Answer:

y = 5.6

Step-by-step explanation:

Use Sine

Sine = [tex]\frac{opposite}{hypothenuse}[/tex]

Sine 45 = [tex]\frac{y}{18}[/tex]

Sine of 18 is 0.309

0.309 = [tex]\frac{y}{18}[/tex]

Multiply 18 on both sides

0.309 x 18 = [tex]\frac{y}{18}[/tex] x 18

5.562 = y

Round to the nearest tenth:

5.562 = 5.6

Find the value of X
12
l
l /
5 l. / X
l /
l /

Answers

Step-by-step explanation:

According phythagorous theorem,

x²=(12)²+(5)²

x²=144+25

x= root of 169

x=13

Answer:

According phythagorous theorem,

x²=(12)²+(5)²

x²=144+25

x= root of 169

x=13

Step-by-step explanation:

Given the matrix:
a= 2 5
4 -8
The sum of the elements in row 1 is:

The sum of the elements in column 2 is:

Answers

Answer:

The answer is as follows

1) 7

2) 3

3) 4

Answer:

7

-3

4

Step-by-step explanation:

Tell whether -3 is a solution of the inequality
3-4r >_ 15

Answers

Answer:

-3 is a solution.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Step-by-step explanation:

Step 1: Define

3 - 4r ≥ 15

Step 2: Solve for r

[Subtraction Property of Equality] Subtract 3 on both sides:                        -4r ≥ 12[Division Property of Equality] Divide -4 on both sides:                                r ≤ -3

Step 3: Compare

Substitute in r:                                                                                                   -3 ≤ -3

This is true. -3 is less than or equal to -3.

Steven has a small business that provides computer application training and data entry support services. He earns $25 per hour for training and $15 per hour for data entry support. Steven can work no more than 40 hours a week. He wants to use linear programming techniques to optimize his income. Part A Construct a model to represent the amount of time Steven can spend on data entry and training. Be sure to define your variables.
Sketch a graph of your model.

Answers

Answer:

25×40=100

15×40=30

100+30=130

the clock was exactly on time at 7am at 1pm the clock was 228 seconds late at that rate how slow was the clock half an hour

Answers

Answer:

19 seconds.

Step-by-step explanation:

Given that the clock was exactly on time at 7am, and at 1pm the clock was 228 seconds late, to determine, at that rate, how slow was the clock half an hour, the following calculation must be performed:

1 PM = 13:00

13 - 7 = 6

228/6 = 38

38/2 = 19

Thus, every half hour the clock is delayed 19 seconds.

Whiteout graphing,determine whether the system of linear equations has one solution,infinitely many solutions,or no solution. Explain your reasoning.

Answers

Answer:

Are we suppose to answer the equation to? ( reply and i will put the answers in the comment )

Step-by-step explanation:

Which is the biggest negative integer​

Answers

Answer:

-1

Step-by-step explanation:

in numeracy numbers on right hand are bigger than numbers on left hand -1 is bigger than all negative integers. they all fall on the left of -1

HELP PLEASE PLEASE DUE TONIGHT !! Scores on the Wechsler Adult intelligence Scale (a Standard IQ test) for certain age group are
normally distributed with mean = 100 and standard deviation o = 15. (Find the Z scorels for
each question first, and then use Table A-2 at the back of your book to find the following
probabilities)
a What percent of IQ scores are less than 122?
(4 points)
b What is the probability that a randomly selected adult in this age group has an IQ
score higher than 147? Is this a significant/unusual event? Explain? (5
points)
C
What percent of adults in this age group have IQs between 85 and 100? Is this
I significant/unusual event? Explain?
(5
points)
Tch
3
O
<
w

Answers

I think the anwser is c

A couch and coffee table cost a total of $1017 . The cost of the couch is two times the cost of the coffee table. Find the cost of each item.

Answers

Answer:

The couch costs $678 and $339 for the coffee.

Step-by-step explanation:

In total you spent $1017 and it was used in 3 portions, 2 for the couch, and 1 for the coffee. First divide it and find out how much each portion costs. In this case (1017 divided by 3) the answer will be 339. Now since you spent 2 of the 3 portions on the couch multiply one portion by 2. Then you get 678 for 2 portions, hence telling us that the couch costed, $678. With the remaining one portion of 339, you already know coffee costs $339. Please give me brainliest, I am new to answering questions. Thanks!

I NEED HELP LPZ WILL GIVE BRINLYIST FOR CORRECT ANSWER (NO LINKS)

Answers

It would be “B”

The point must be closed located on the top of -4 going to the left.
I totally agree with the person above me! I hope you got it right I believe I’m late

HELP PLEASEEEEEEE!!!!!!

Answers

Answer: I think it is

x        y

1        2

3       14

10      56

Step-by-step explanation:

So what I did is you take the 6 and multiply it by the x number then you subtract by 4  

I need the answer please

Answers

Answer:

The 1st option

Step-by-step explanation:

Because x can be anything that's not imaginary and y has to be below 2 always because of the negative value added before the 3. Also it's impossible to reverse the sign of the negative because negative x would only result in 3 becoming a fraction.

Gail is learning how to bake cookies. She found that 2 out of every 9 cookies are burnt. If Gail baked 225 cookies, how many burnt cookies would she expect to get?
A.
75
B.
100
C.
50
D.
25

Answers

Answer:

(c) 50 cookies

Step-by-step explanation:

225*2/9 = 50

help plz need help will make mi day if u help

Answers

Answer:

2 1/4 i believe correct me if im wrong

Step-by-step explanation:

1 4/8 hope this helps

Solve the inequality 11r – 177 – 2r > -(r = 233).
Answer with an inequality statement like r<0 or r> 29.

Answers

Answer:

11×(233)-177-2(233)-233

whats the equation y= -3x + 6 in standard form

Answers

We know that the standard form of the equation is:

ax + by = c

and we are given the equation:

y = -3x + 6

Converting to standard form:

3x + y = 6                                  [adding 3x on both sides]

3x + y = 6

and we are done already!

Kobe drinks 1/3 cups of juice each day. He has 2 1/3 cups of juice left. For how many days will it last?

Answers

Answer:

Our juices’ journey to your table starts on the thousands of acres of citrus farms dotting Western North America. The process begins when the fruit is harvested at its sweetest, then sent to our plant to be pressed and bottled. From the plant, our juice is sent to retailers throughout the West, including Ralph’s, Bristol Farms and Pavilions to name a few. This lateral integration gets the freshest, best tasting juices to our customers as quickly as possible, and makes Perricone Farms a true “Farm-Bottle-Table” company. You’ll taste the difference with every sip.

The three sides of AXYZ
measure 13 feet, 17 feet, and
21 feet. IS AXYZ an acute,
right, or obtuse triangle?

Answers

9514 1404 393

Answer:

  acute

Step-by-step explanation:

I like to think of this in terms of the "form factor" (a term I made up). It is computed as ...

  f = a² +b² -c²

where a, b, c are the side lengths, and c is the longest.

The interpretation is ...

  f > 0 . . . acute

  f = 0 . . . right

  f < 0 . . . obtuse

Here, we have ...

  f = 13² +17² -21² = 17 . . . . . the triangle is acute

_____

Additional comment

The measure of the largest angle is ...

  arccos(f/(2ab)) = (17/(2(13·17)) = arccos(1/26) ≈ 87.8°

You can see that (2ab) is always positive, so the sign of f matches the sign of the cosine of the angle. That is what leads to the above interpretation.

This formula comes from the Law of Cosines, of which the Pythagorean theorem is a special case.

Measure Of Angle T. WILL GIVE BRAINLIEST

Answers

Answer:

m<T = 88

Step-by-step explanation:

7x + 4 + 5x + 3 + 2x + 5 = 180

14x + 12 = 180

14x = 168

x = 12

<T = 7x + 4

7(12) + 4

84 + 4

88

What is the cross section of a cylinder that is perpendicular to the base through the center?

Answers

The cross section perpendicular to the base is a rectangle. The cross section parallel to the base is a pentagon similar to the pentagonal base. The solid is a cylinder.

A number increased by 8 is equal to twice the same number increased by 7

Answers

Answer:

-6

Step-by-step explanation:

According to question,

x + 8 = 2(x + 7)

x + 8 = 2x + 14

2x - x = 8 - 14

x = -6

A number is increased by 8 which is equal to twice of the same number increase by 7 then the number will be -6.

What is an expression?

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the statement given in the question,

Let the number is x.

Number is increased by 8,

x + 8

Also,

Equal to twice of same number increased by 7.

Then the expression will be,

x + 8 = 2(x + 7)

x + 8 = 2x + 14

x = -6

To know more about expression:

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please help!
Evaluate the expression: [3^2 x (2.4 ÷ 4)] + 1.7

Answers

Answer:

7.1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

[3² × (2.4 ÷ 4)] + 1.7

Step 2: Evaluate

[Brackets] Exponents:                                                                                      [9 × (2.4 ÷ 4)] + 1.7[Brackets] (Parenthesis) Division:                                                                    [9 × 0.6]  + 1.7[Brackets] Multiplication:                                                                                  5.4 + 1.7Add:                                                                                                                   7.1

Which is the graph of f(x)= 3/2(1/3)^x ?

Answers

Answer:

HERE IS THE ANSWER HOPE IT HELPS :)

Step-by-step explanation:

Brainliest PLLLLSSSSS?

Answer:

Answer is B on e 2020

Step-by-step explanation:

The vertices of a shaded square are the midpoints of the sides of square ABCD. The length of the diagonal of square ABCD is 6 inches.

Answers

Answer:

A=13.47 in.

P=14.68 in.

Step-by-step explanation:

First, we have to figure out the sides of square ABCD. The diagonal forms the hypotenuse of a right equilateral triangle.

a²+a²=6²

2a²=36

a²=18

a=√18

a=4.24

Half of 4.24 would be the distance From each corner of ABCD to the neighboring midpoints.  (2.12)

2.12²+2.12²=c²

4.49+4.49=c²

13.48=c²

√13.48=c

3.67=c

Now that we know each side of the shaded square, we can get the area and perimeter.

A=3.67x3.67=13.47

P=3.67x4=14.68

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