f(x) = x^3- 9x
What is the average rate of change of f over the interval [1, 6]

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]\frac{f(b)-f(a)}{b-a}[/tex] This is the formula for the average rate of change

over the interval (a, b)

a and b are x values

f(a) ad f(b) think of them as y values

Start calculating f(a) and f(b) a=1 b=6

replace all x's in formula with a, (1)

f(1)=1³-9(1) = 1-9= -8    f(1) = -8

Now do : b (6)

f(6) = 6³ - 9 (6) = 216-54=162 f(6) = 162

now plug everything into your equation

[tex]\frac{f(6)-f(1)}{6-1} =\frac{162- (-8)}{5} =\frac{170}{5} =34[/tex] average rate of change.

notice the 162 - (-8) In math there is no subtraction, and you would change it to + and when you do that you much change the sign of the next value making -8 a +8.

Hope this helps. Good luck!


Related Questions

Please help! Thank you

Answers

Answer:

-294

Step-by-step explanation:

If the Plot of Land is an 80 ft by 50 ft rectangle,
what is the area?

Answers

Answer:

4000ft.

Step-by-step explanation:

The formula for area of a rectangle is length times width.

80 x 50 = 4000

That is correct. The area of a rectangle is l*w

A janitor had 4/7 of a spray bottle of a cleaning solution. He used 1/8 of the solution in a day. How much of the bottle did he have?

HELPPPPPP (Worth 10 Points:) URGENTTTTT
DUE AT 10:39!!!!!!!!!!!1

Answers

Answer:

25/56

Step-by-step explanation:

First, find a common denominator. (in this case 56, multiply denominators)

4 x 8          32

7 x 8          56

1 x 7             7

8 x 7           56

now

32               7                     25

-----     -      -----        =        ------

56              56                    56

Since this cannot be simplified, this is my answer.

The amount of solution Janitor has is [tex]\frac{1}{2}[/tex].

It is given that Janitor had 4/7 of a spray bottle of a cleaning solution out of which he used 1/8 of the solution in a day.

We have to find out that how much spray bottle he still have.

What will be the value , 2 times of 1/2 subtracted from 3 ?

The value will be 2.

Janitor had [tex]\frac{4}{7}[/tex] of spray bottle of a cleaning solution.

Amount of solution used by him in a day = [tex]\frac{1}{8}[/tex] of   [tex]\frac{4}{7}[/tex]

= [tex]\frac{4}{56}[/tex] = [tex]\frac{1}{14}[/tex]

The amount of spray bottle which he have now ;

= [tex]\frac{4}{7}[/tex] - [tex]\frac{1}{14}[/tex]

= [tex]\frac{8-1}{14}[/tex]

= [tex]\frac{7}{14}[/tex] = [tex]\frac{1}{2}[/tex].

Thus , the amount of solution he has is [tex]\frac{1}{2}[/tex].

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Can someone explain the snake method, I don't understand how to do it

Answers

Answer:

x ∈ [−2; 1] ∪ 3.5

Step-by-step explanation:

Given

Inequality: (x-1)(x+2)(2x-7)≤0

Solution:

If we solve the corresponding equation (x-1)(x+2)(2x-7)²= 0, we get roots

x =  -2, 1, 3.5

We need to consider the following 4 intervals:

(−∞; −2), [−2; 1], (1; 3.5), (3.5; ∞)

1st interval (−∞; −2)

The expression (x-1)(x+2)(2x-7)² is positive as two of the multiples are negative and one is always positive (square number), and therefore  does not satisfy the inequality.

2nd interval  [−2; 1]

The expression is negative as only one of the multiples is negative, and therefore the interval (−1; 2) satisfies the inequality.

3rd interval (1; 3.5)

The expression is positive as all the multiples are positive. Therefore, the interval (1; 3.5) also does not satisfy the inequality.

4th interval

The expression is positive as above, and therefore also does not satisfy the inequality.  

So, the answer to the inequality is:

x ∈ [−2; 1] ∪ 3.5

Plzzz help D.
A
Identify the nonlinear graph,
A)
А
B)
B
C)
D

Answers

it’s b if i’m not mistaken

Answer:

C.

Step-by-step explanation:

It is not a straight line therefore it cannot be linear.

Joe and Ben are saving money for a new x-box game. Joe has saved $15.00 in 2 weeks and $37.50 in 5 weeks. Ben's savings are represented by the equation
y=8.25x
y=8.25x
.
Find the difference in their savings each week?

Answers

Answer:

37.50/5 = $7.50/week

so the difference is 8.25-7.50 = $0.75/week

Step-by-step explanation:

A camera has a listed price of 873.95 before tax. If the sale taxes rate is 6.5, find the total cost of the camera with sales tax included. Round your answee to the nearest cent. As necessary.

Answers

Answer:

$930.76

Step-by-step explanation:

So if you move the decimal in the percentage over to the right by two then you have your sales tax rate in decimal form (0.065), you can then multiply that by the listed price and you'll have about 56.80675 so this number will be the sales tax price, then you may add this to the listed price and your answer will be 930.75675, then once you round up it will be $930.76.

2x+3y=10 8x+Ay=B
What Is the vaule of B

Answers

X-1/8 b-1/8ay hopefully this helps

Use the Properties of Equality to solve each equation.
4. b-3= -4

Answers

Answer:

b  =  -1

Step-by-step explanation:

Move all terms containing  to the right side of the equation

:)

Venu goes to a fruit stand and buys some apples and bananas. Let A represent the number of apples she buys, & the number of bananas she buys, CA the cost of each apple, and C, the cost of each banana. a. Is the expression A+B meaningful in this situation? If so, what does it mean? If not explain why not b. Is the expression A - Ce meaningful in this situation? If so, what does it mean? If not, explain why not 2 Write an expression for the total cost of Venu's purchase. ​

Answers

From
E
q
n
(
1
)
we have
A
c
=
20

B
c

...
...
E
q
u
a
t
i
o
n
(
1
a
)

Using
E
q
n
(
1
a
)
substitute for
A
c
is
E
q
n
(
2
)

$
0.5
(
A
c
)
dddd
+
$
0.75
B
c
=
$
11.50

...
...
...
E
q
u
a
t
i
o
n
(
2
)
$
0.5
(
20

B
c
)
+
$
0.75
B
c
=
$
11.50

$
10.0

$
0.5
B
c
+
$
0.75
B
c
=
$
11.50

Subtract
$
10
from both sides
$
0.75
B
c

$
0.5
B
c
=
$
1.50

$
0.25
B
c
=
$
1.50

To 'get rid' of the decimals multiply both sides by 100
$
25
B
c
=
$
150

Divide both sides by
$
25

B
c
=
6

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
Using
E
q
n
(
1
)
substitute for
B
c

A
c
+
B
c
=
20

...
...
...
...
...
...
...
.
E
q
u
a
t
i
o
n
(
1
)

A
c
+
6
=
20

Subtract 6 from both sides
'
A
c
=
14

So the answer is:
14 apples and 6 bananas

Answer: wow that's crazy cause I need help with the same answer

Step-by-step explanation:

Guys pls help if I don’t know if I’m correct

Answers

Answer:

Yes u are correct

can someone answer plzzzz

Answers

Answer:

6,882,000 miles

Step-by-step explanation:

HEELPPP ASAPP PLS

You deposit $4000 each year into an account earning 5% interest compounded annually. How much.
will you have in the account in 20 years?

Answers

Answer:

138,877.01

Step-by-step explanation:

Answer:

I think $5133.43

Step-by-step explanation:

Which quadratic equation gives the area A of the rectangle in square feet given its width in w feet

Given: (10,900) (20,1600)

Answers

Answer: 2nd choice on Ed

Step-by-step explanation:

Answer:

B

2400ft

Step-by-step explanation:

solve for x explain pls
7+3x+1=4x+5

Answers

Answer:

x = 3

Step-by-step explanation:

7 + 1 + 3x = 4x + 5

Subtract 5 from both sides and 3x from both sides.

8 + 3x = 4x + 5

3 = x

Paula caught a tarpon with a weight that was 11 times as great as the weight of a permit fish she caught. The total weight of the two fish was 168 pounds

Answers

Answer:

Permit fish=14 pounds if thats the question

Tarpon=154

Step-by-step explanation:

Suppose A is a 5x7 matrix. How many pivot columns must A have if its columns span R^5​? ​Why?

a. The matrix must have nothing pivot columns. If A had fewer pivot​ columns, then the equation A would have only the trivial solution.
b. The matrix must have nothing pivot columns. The statements​ "A has a pivot position in every​ row" and​ "the columns of A span ​" are logically equivalent.
c. The matrix must have nothing pivot columns.​ Otherwise, the equation A would have a free​ variable, in which case the columns of A would not span .
d. The columns of a 57 matrix cannot span because having more columns than rows makes the columns of the matrix dependent

Answers

Answer:

The answer is "Option B".

Step-by-step explanation:

In the given choices there is some mistake so, the correct choice can be defined in the attached file. please find it.

In the given question, If the column of [tex]5 \times 7[/tex] matrix, and the A span is equal to [tex]R^5[/tex], and then the value of A has a pivot in each row, that's why in each pivot its position in the different columns of A has the five pivot columns, that's why the choice B is correct.

Find the value of
5x^2 if x = -3.

Answers

Step-by-step explanation:

5x²

If x = 3

Then,

5(3)²

= 5×9

= 45

What is the quotient of 1 1/4 divided by 21 1/4

Answers

Answer: 1/17

Explanation:

1 1/4 = 5/4
21 1/4 = 85/4

5/4 divide by 85/4
= 5/4 x 4/85
= 1/17

Answer:

quotient of 11/4 to be divided by 21 /1/4

gives you 7/8/11

Pls help me I will give Brainlyest
Mrs. Rodriguez wants to pay her restaurant bill which is $24.00. If Mrs. Rodriguez wants to leave a 20% tip on the
total, how much should she pay?
O $20.35
O $26.40
O $28.80
O $33.60

Answers

Answer:

C

Step-by-step explanation:

$28.80

Answer:

c

Step-by-step explanation:

1. Mrs. Wendt called Drano Plumbing Company to fix a leak. Their fee is $35 for the
service call, and $42 per hour.
a) Build a table.
b) Write an equation for the amount she would pay for ‘x’ hours:
_________________________
c) Write and solve an equation to find out how long they worked if her bill was $140.
Equation:_________________________
Solution:_______________

Answers

Answer:

the equation is 140÷42 and the answer is 4

A homogeneous 1300 kg bar AB is supported at either end by a cable. calculate the stress acting in bronze bar in N/mm² if stress should not exceed to 120MPa for steel and the area of the bronze bar and steel bar is 40.05 mm² and 36.33 mm² respectively.​

Answers

Answer:

4553332 is the answer

Step-by-step explanation:

Need answer asap please help

Answers

Answer:

5(-3)^2+7

Step-by-step explanation:

Answer:

5(-3)^2+7

Step-by-step explanation:

please this is my true answer dont judge me please..thank...

I need to find the missing angle of this triangle or whatever it is

Answers

Answer:

×=126+28

=154 degrees

Choose Yes or No to indicate whether the statement is correct.

5,212 ÷ 17 is 306 r10
A Yes B No
8,793 ÷ 42 is 209 r15
A Yes B No
1,272 ÷ 24 is 52
A Yes B No

Answers

Answer:

Step-by-step explanation:

5,212 ÷ 17 is 306 r10

A Yes B No

8,793 ÷ 8,793 is 209 r15

A Yes B No

1,272 ÷ 24 is 52

A Yes B No

16B+3.5W = 22 Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends B hours biking and W hours walking, the trip is modeled by the equation shown above. What is the meaning of the 16B in the equation?​

Answers

Answer:

Antoine bikes for 16B miles before starting his walk.

Step-by-step explanation:

16 is that speed which is covered in B hours by bike by Antoine

What is speed?

Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.

Speed = [tex]\frac{distance}{time}[/tex]

Given,

16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk

Antoine travels partially by bike and partially by walk, and total covered 22

That means 16B is the distance covered by bike, and 16 is its speed.

Hence, 16 is that speed which is covered in B hours by bike.

Learn more about speed:

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Give 3 names for x intercepts of a quadrants equation

Answers

Answer:

Zeros

Roots

Solution (Set)

Step-by-step explanation:

As you can tell there are a handful of different names!

please help... i’m stuck on that question.

Answers

Answer:

5 is the answer

Step-by-step explanation:

120/24=5

Answer:

A. 5

Step-by-step explanation:

The angle is 120 degrees because of certain rules which explanations I can't remember off the top of my head. To get 24z to equal 120 you plug in 5.

If the width of a rectangle is 3x+2 and the length is 2(x+4) what is the value of x​

Answers

Answer:

 

Step-by-step explanation:

I need help. Is this right????

Answers

Answer: (I can only see stage 1 and 2 fully) Stage 1: 2 Stage 2: 4

Step-by-step explanation:

Answer:

Step-by-step explanation:

0 = 0

1 = 2

2 = 4

3 = 6

20 = 40

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