desceibe how to determine the average rate of change between x=4 and x=6 for the function f(x)=2x^3 +4​

Answers

Answer 1

[tex]slope = m = \cfrac{rise}{run} \implies \cfrac{ f(x_2) - f(x_1)}{ x_2 - x_1}\impliedby \begin{array}{llll} average~rate\\ of~change \end{array}\\\\[-0.35em] \rule{34em}{0.25pt}\\\\ f(x)= 2x^3+4\qquad \begin{cases} x_1=4\\ x_2=6 \end{cases}\implies \cfrac{f(6)-f(4)}{6-4} \\\\\\ \cfrac{[2(6)^3+4]~~ -~~[2(4)^3+4]}{2}\implies \cfrac{436~~ -~~132}{2}\implies \cfrac{304}{2}\implies 152[/tex]


Related Questions

what is an equation of the line that passes through points (-7,-5) and (-7,-2)?

Answers

Answer:

x=-7

Step-by-step explanation:

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

m=(-2-(-5))/(-7-(-7))

m=(-2+5)/(-7+7)

m=3/(0)

undefined

x=-7.

Write the word sentence as an equation. Then solve.

The difference of a number n and 3 is -7.

Answers

Answer:

n-3 = -7

n = -4

Step-by-step explanation:

(Meeting character limit)

Answer:

-4

Step-by-step explanation:

n - 3 = -7, n = -4

LAST ATTEMPT IM MARKING AS BRAINLIEST!! (Graph the image of the figure using the dilation given)

Answers

Answer:

v' (0.5,1) , u' (0,1) , t' (-0.5,0) , w' (-0.5, -1)

14. Provide a written description of the complement of the given event.
of ten adults, at least one of them has high blood pressure.


None of the adults have high blood pressure.
At most one of the adults has high blood pressure.
All of the adults have high blood pressure.
Nine of the adults have high blood pressure

Answers

Answer:

At most one of the adults has high blood pressure.

Step-by-step explanation:

Can someone do it and explain please? I don’t get it

Answers

is it 60 degrees or 70 degrees? because 100 + 120 = 220
360 - 220 = 140
One side looks larger than the other tho so I am not sure.

Tyler is saving to buy a new videogame system. For every $15 he earns mowing lawns, he saves $9. On Saturday, Tyler earned $105 mowing lawns. How much money did he save?

Answers

Answer:

$63

Step-by-step explanation:

First, we find the percentage that he saves:

9 is 3/5 of 15 which is 60%, 9 is 60% of 15 which means he save 60% of the money that he earns so,

60% of 105 = 63

This means he saved $65 from the money he earned.

Hope this helps!

Use the distributive property to write an experssion that is equalent to 7(3x-4)

Answers

Answer:

21x-28

Step-by-step explanation:

the distributive property states that a(bx+c) is equal to abx+ac. in this expression, a is 7, b is 3, and c is negative 4. ab is 7*3, which is 21, so abx is 21x. ac is 7*-4, which is -28. combining these two results in 21x-28.

Answer:

21x-28

Step-by-step explanation:

distribute the 7 to the 3x & the -4

you get 21x-28

Find the simple interest paid on a $200 investment at 4.4% annual interest for 60 days.

Answers

Step-by-step explanation:

hope it will help you...

A person of 600 newtons
gets on an elevator which
lifts him 6 meters in
10 seconds. How much
power was used?

Answers

Answer:

360J/s

Step-by-step explanation:

power=work done/ time

power=600×6/10

=3600/10

=360

please help !! question is shown below in the picture

Answers

Answer:

C

Step-by-step explanation:

Given x and y vary directly then the equation relating them is

y = kx ← k is the constant of variation

To find k use the condition x = 20 , y = 10 then

10 = 20k ( divide both sides by 20 )

[tex]\frac{10}{20}[/tex] = [tex]\frac{1}{2}[/tex] = k

y = [tex]\frac{1}{2}[/tex] x ← equation of variation → C

Share £30 in the ratio 1:5 between Tim and Sam

Answers

tim gets 5 and sam gets 25 or 5:25

Need help again first answer gets brainliest

Answers

Answer:

vertical angles are supplementary

Answer:

C. Vertical angles are congruent

Step-by-step explanation:

Angles 1 and 4 are vertical angles.

According to definition of vertical angles, they are congruent.

Correct choice is C

Select all statements that are true.

All points on the same plane are congruent.
All points on the same plane are congruent.

All segments on the same plane are congruent.
All segments on the same plane are congruent.

All angle on the same plane are congruent.
All angle on the same plane are congruent.

All triangles on the same plane are congruent.

Answers

Congruence  means equivalence in comparison.

All points on the same plane are congruent. (True)

A point is an exact location .

It can be anywhere on the plane. It has one dimension. The point is always the same.

All segments on the same plane are congruent. (False)

A line segment has two end points.It can be of different length.Two line segments are congruent only if they have the same length.

Without knowing the lengths of different segments these cannot be termed as congruent.                                                                                                                                                                      

All angle on the same plane are congruent. (False)

Two angles can only be the same if they have the same position with regard to parallel lines. Two angles can only be same if they have the same degree of measurement.

All triangles on the same plane are congruent.  (False)

Two triangles are congruent if they have

same lengths of their corresponding sidessame measurements of the three angles of both triangles.

The triangles congruence can also be understood by

https://brainly.com/question/1675117

The angles congruence can also be understood by

https://brainly.com/question/10128662

The line segments congruency can also be understood by the following link

https://brainly.com/question/82457



What is the value of (-5)2?

Answers

-10 because 5 x 2 is 10 but it’s negative instead

Answer:

-10

Step-by-step explanation:

when a number Inside of parentheses is close to another number (like being near a fireplace trying to say warm) it means to multiply :3 !

Example: (3)2=6           6(6)=36

in our case it is (-5)2        So was ist -5 x 2? -10

hope this helped!

for some extra practice to check your knowledge, what is (-3+-2)2 ?

help plsssssssssssssssssssssssssssss

Answers

Answer:

0

the answer is 0........

It’s 0 not sure so please don’t get mad

Loquan has 2 pieces of fabric, each measuring 3 & 1/4 feet long. How many feet of fabric does Loquan have in total?

Answers

Answer:

3+1/4= 3 1/4

Hope This Helps!!!

The total fabric which Loquan has is equal to 6.5 feet.

It is given that Loquan has 2 pieces of fabric . Each of the fabric is [tex]3\frac{1}{4}[/tex] feet long.

We have to find out the total fabric in feet which Loquan does have.

What will be the total length if there are two ropes of 1 meter each ?

The total length of the rope can be calculated by multiplying no. of ropes with length of one rope and that will be equal to 2 × 1 or 2 meter.

As per the question ;

Loquan has 2 pieces of fabric , each having length of  [tex]3\frac{1}{4}[/tex] feet

The total length of fabric can be calculated by multiplying 2 with

[tex]3\frac{1}{4}[/tex] feet.

i.e.,

2 ×  [tex]3\frac{1}{4}[/tex]

= 2 × [tex]\frac{13}{4}[/tex]

= [tex]\frac{13}{2}[/tex]

= 6.5 feet

Thus , the total fabric which Loquan has is equal to 6.5 feet.

To learn more about unitary methods click here ;

https://brainly.com/question/26700669

#SPJ2

PLEASE HELP ASAP! harold makes a plan to save $500 per month for the next 5 years. He is depositing it in an interest bearing account at 2% APR (compounded monthly). What will be Harold’s balance at the end of 5 years?​

Answers

Answer:

50

Step-by-step explanation:

While traveling to Europe, Phelan exchanged 250 US dollars for euros. He spent 150 euros on his trip. After
returning to the United States he converts his money back to US dollars. How much of the original 250 US dollars
does Phelan now have? Round to the nearest cent.
1 European euro = 1,3687 US dollars
O 44.70 US dollars
O 73.06 US dollars
O 136.87 US dollars
O 140.41 US dollars

Answers

Answer:

$140.41

Step-by-step explanation:

250 * 1.3687 = 3412.175 Euros.

- 150 Euros = 192.175

192.175  1.3687 = $140.41

Wildcat Pizza, Inc. is trying to decide whether to revise its target capital structure. Currently, it targets a 50-50% mix of debt and equity, but it is considering a target capital structure with 70% debt. Wildcat currently has 6% after-tax cost of debt and a 12% cost of common stock. The company does not have any preferred stock outstanding

Answers

I don’t understand, explain further.

special right triangles, solve for x, y and z

Answers

Answer:

x=14

y=27

z=43

Step-by-step explanation:

hope it helps!

Help help help math math

Answers

Answer:1 or 2/2

Step-by-step explanation:

-2 to 0 is adding 2 and 0 to 3 is also adding two so for x it will be two

For Y it is from 4 to 6 so it is also adding 2 and from 6 to 8 your also adding 2

So y will be 2

And 2/2 is 1

Choose the fraction that goes in the blank. 5/12< _____<3/4

Answers

Answer:

7/12 or 8/12 are both good options

Step-by-step explanation:

nvr mind, its 7/12 only

The sum of three terms in AP is 15. If the first two terms are each decreased by 1 and the last is increased by 1 then the resulting terms are in GP. find the numbers.​

Answers

Answer:

3, 5, ,7 or 9, 5, 1

Step-by-step explanation:

Let the three terms in AP be a - d, a & a + d

where a = First term and d = Common difference.

Condition 1: sum of three terms in AP is 15.

a - d + a + a + d = 15

3a = 15

a = 15/3

a = 5

Condition 2: When first two terms are each decreased by 1 and the last is increased by 1 then new terms so obtained will be as follows:

a - d - 1, a - 1, a + d + 1

These terms are in G.P.

[tex] {(a - 1)}^{2} = (a - d - 1)(a + d + 1) \\ \\ {(5 - 1)}^{2} = (5 - d - 1)(5 + d + 1) \\ \\ {(4)}^{2} = (4 - d)(6 + d) \\ \\ 16 = 24 + 4d - 6d - {d}^{2} \\ \\ 0 = 8 - 2d - {d}^{2} \\ \\ {d}^{2} + 2d - 8 = 0 \\ \\ {d}^{2} + 4d - 2d - 8 = 0 \\ \\ d(d + 4) - 2(d + 4) = 0 \\ \\ (d + 4)(d - 2) = 0 \\ \\ d + 4 = 0 \: \: or \: \: d - 2 = 0 \\ \\ d = - 4 \: \: or \: \: d = 2 \\ \\ when \: d = - 4 \\ \\ a - d = 5 - ( - 4) = 9 \\ a = 5 \\ a + d = 5 - 4 = 1 \\ \\ when \: d = 2 \\ a - d = 5 - 2 = 3 \\ a = 5 \\ a + d = 5 + 2 = 7 \\ \\ thus \: three \: terms \: in \: AP \: are: \\9, \: 5, \: 1 \: \: or \: \: 3, \: 5, \: 7[/tex]

What is the point of intersection for the graphs of the equations 4x-y=6 and x+y=4

Answers

Answer:

(2,2)

Step-by-step explanation:

4x-6 = 4-x

5x = 10

x = 2

y = 4-2 = 2

(2,2)

What is the value of x in the equation 8+4 = 2(x-1)2
O 5
11
o
2

o
13
2
O 7

Answers

Step-by-step explanation:

→ 8 + 4 = 2(x -1)

→ 12 = 2x - 2

→ 2x - 2 = 12

→ 2x = 12 + 2 = 14

→ x = 14/2 = 7

→ x = 7

hence, option D (7) is correct.

Hope this answer helps you dear ! take care

Use the Fundamental Theorem of Calculus to find y′. pls help

Answers

Use This Since You provided no context:

The fundamental theorem of calculus is a theorem that links the concept of differentiating a function (calculating the gradient) with the concept of integrating a function (calculating the area under the curve). ... This implies the existence of antiderivatives for continuous functions.

Ron wants to make money painting portraits of people at the local mall. The mall
charges Ron $22.00 a day for Ron to set up his materials to sell his portraits. He
charges $15.50 a portrait, but it costs him $3.25 in materials to make that portrait.
How much profit will Ron make from each portrait he paints (not including the daily
fee that the mall charges him)?
$12.00
$12.25
$12.50
$13.00

Answers

Answer:

$12.25

Step-by-step explanation:

$12.25

Mrs. Jerry wants her 25 students to each have 48 buttons to make a craft project. Mrs. Jerry finds buttons in bags at a store. There are 15 buttons in each bag. How many bags of buttons does Mrs. Jeremy need to buy so she has exactly enough buttons for 25 students?

Answers

Answer:

3 bags

Step-by-step explanation:

add 15 x 15 x 15 and you should have enough bags

what step is first when solving
3/4 x-3 = -18
NO LINKS WHATSOEVER

Answers

Answer:

Add 3 to both sides.

Step-by-step explanation:

Add 3 to both sides.

This is how you figure it out. Imagine you have a value you want to use for x on the left side, such as 5.

In other words, evaluate 3/4 x - 3 for x = 5

The left side turns into 3/4 × 5 - 3.

What order of operations would you use now on the left side.

1) Multiply 3/4 by 5

2) Subtract -3

To solve an equation, you do the opposite operations in the opposite order.

Since to evaluate the left side with a number for x, you end by subtracting 3, to solve the equation you start by adding 3. Then you divide by 3/4.

Answer: add 3 to both sides

Maya purchased a boat for $18,340. Its value depreciated by 15% in the first year she owned it. What was her boat worth at the end of this first year?

Answers

Answer:

$15,589

Step-by-step explanation:

Since it deteriorated 15%, it is now worth 85% of the original.

18340 * .85 = 15589

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