The difference quotient is used to determine the average rate of change of g(x) = 5x2 + 6x on the interval from x = 1 to x = 5. Which statement describes the process correctly?

Answers

Answer 1

Answer:

C. The difference quotient is 10x+5h +6, so the average rate of change is 10(1)+ 5(4) + 6 = 36

Step-by-step explanation:

Answer 2

The statement is the difference quotient is 10x+5h +6.

What is average rate of change of function?

It is a measure of how much the function changed per unit, on average, over that interval. It is derived from the slope of the straight line connecting the interval's endpoints on the function's graph.

Given function:

g(x) = 5x² + 6x

interval is x= 1 to x=5

so, the average rate of change is

=10(1)+ 5(4) + 6

= 36

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Related Questions

Which graphs cannot represent a proportional relationship? Explain how you know.
PLEASE THIS IS DUE AT 11p.m

(i put the other one in the wrong subject)

Answers

B and C
because the lines are not passing through the origin

Answer:

A and D

Step-by-step explanation:

because they pass through the origin

Abby's family traveled 7 10 of the distance to her grandmother's house on Saturday. They traveled 2 3 of the remaining distance on Sunday. What fraction of the total distance to her grandmother's house was traveled on Sunday?

Answers

Step-by-step explanation:

she traveled 2/3 on Saturday and the remaining is the distance for Sunday so u subtract the fractions

Math VOCAB Word Search

Answers

Answer:

distributive property is in the middle going straight up (read it going from the bottom up)

Find the value of the nearest tenth
X=

Answers

Answer:

12,7

Step-by-step explanation:

use pathogaras theorem

c^2=a^2+b^2

Solve for X and Y

Sorry been having trouble understanding this

Answers

Answer:

[tex]x=16.4\ y=13.7[/tex]

Step-by-step explanation:

[tex][Kindly\ refer\ the\ attachment.]\\We\ are\ given\ that,\\\triangle ABC\ is\ a\ right-triangle\ and\ has\ it's\ legs\ x\ and\ z.\\It's\ altitude\ CD\ separates\ it\ into\ two\ triangles:\\\triangle BCD\ and\ \triangle ADC,\ both\ of\ which\ are\ right-triangles.\\Now,\\The\ Pythagoras\ Theorem\ tells\ us\ that:\\'The\ sum\ of\ squares\ of\ both\ the\ legs\ is\ equal\ to\ the\ square\ of\ the\\ hypotenuse'.\\Here,\\Lets\ consider\ three\ triangles\ separately.\\[/tex]

[tex]In\ \triangle ADC\ right\ angle\ is\ at\ \angle ADC.\\Hence,\\AC\ is\ the\ hypotenuse, and\ AD\ and\ DC\ are\ it's\ legs.\\Hence,\\AD^2+DC^2=AC^2\\Or,\\9^2+y^2=x^2\\\\Lets\ take\ the\ above\ equation\ as\ E_1.[/tex]

[tex]In\ \triangle BDC\ right\ angle\ is\ at\ \angle BDC.\\Hence,\\BC\ is\ the\ hypotenuse, and\ DC\ and\ DB\ are\ it's\ legs.\\Hence,\\DC^2+DB^2=BC^2\\Or,\\21^2+y^2=z^2\\Lets\ take\ the\ above\ equation\ as\ E_2.[/tex]

[tex]Now,\\In\ whole\ \triangle ACB\ right\ angle\ is\ at\ \angle ACB.\\Hence,\\AB\ is\ the\ hypotenuse, and\ AC\ and\ BC\ are\ it's\ legs.\\Hence,\\AC^2+BC^2=AB^2\\Or,\\x^2+z^2=(21+9)^2=30^2\\Lets\ take\ the\ above\ equation\ as\ E_3.[/tex]

[tex]Lets\ now\ gather\ the\ three\ equations:\\9^2+y^2=x^2\\21^2+y^2=z^2\\x^2+z^2=30^2\\Now,\\Lets\ pair\ and\ add\ E_1\ and\ E_2.\\Hence,\\(9^2+y^2)+(21^2+y^2)=(x^2)+(z^2)\\Hence,\\81+y^2+441+y^2=x^2+z^2\\Hence,\\2y^2+522=x^2+z^2\\Considering\ E_3,\\We\ already\ know\ that,\\x^2+z^2=30^2\\Hence,\\2y^2+522=30^2\\Hence,\\2y^2+522=900\\2y^2=900-522=378\\Hence,\\y^2=\frac{378}{2}=189\\Hence,\\y=\sqrt{189}=13.7\\[/tex]

[tex]Plugging\ in\ y=13.7\ in\ E_1,\\9^2+(13.7)^2=x^2\\81+189=x^2\\x^2=270\\x=\sqrt{270}=16.4[/tex]

what is the simplified form of [tex]\sqrt{160}[/tex] ?

Answers

I think 4 root 10 is the answer

SOMEONE PLS HELP WITH THIS

Answers

Answer:

blue

Step-by-step explanation:

Answer:

The second option from the left

Step-by-step explanation:

The right answer is the second option because if we follow the pattern through we will get the following...

[tex]y =2(4)^{x} \\y = 2(4)^{0} = 2(1) = 2\\y = 2(4)^{1} = 2(4) = 8\\y = 2(4)^{2} = 2(16) = 32\\y = 2(4)^{3} = 2(64) = 128[/tex]

From this we know the pattern must be 2, 8, 32, 128

HELP NEEDED ASAP! I NEED HELP ASAP !! IF YOU ANSWER WITHOUT ACTUALLY ANSWERING AND ONLY FOR POINTS YOU WILL BE REPORTED!!

Answers

Answer:

They are congruent because they have all the same angles

Step-by-step explanation:

Find the unknown number in each proportion.

33,264 feet x miles
_______________
5,280 feet x 1 mile,

Answers

Hey there!

33,264 feet is 6.3 miles.

Have a terrificly amazing day!

To find the area of a composite figure, you must find the area of each polygon
and then add their areas together to find the total area of the composite figure.
What is the area of the rectangle in this composite figure?

A. 23cm
B. 112cm
C. 23cm^2
D. 112cm^2

Answers

B. MemkdkdksksjsjdjdjdjdjdjdjdjfSKSKSKS

Answer:

it is b

Step-by-step explanation:

find the value of the polynomial 6t^2 + 7t - 3 when t = -1​

Answers

Answer:

the value of the polynomial should be -4

Step-by-step explanation:

Hope this Helped

Can someone help me?

Answers

Answer:

65.42 is your answer

Step-by-step explanation:

Answer:

no :)

jk

65.42

Step-by-step explanation:

7 x (9-5) = (7x?) - (7x?)​

Answers

Well 9 - 5 = 4

to figure out (7 x ?) - 7-?

First you have to figure out what ? is

Well if 9 - 5 = 4, then the ? is 4!!

So 7 x 4 =28 and 28 - 28 = 0

so your anwswer is:

(7 x 4) = (28 - 28) and the ?=4

this is a prodigy question i'm stuck on

Answers

Answer:

1st part is 958

2nd part is 1024

Step-by-step explanation:

Answer:

a. 958 inches

b. 1024 inches

Step-by-step explanation:

a. The perimeter is 2(234+245) = 958 inches, by the formula of the perimeter of a rectangle.

b. This will increase the perimeter by 2 * 33 = 66 inches (because we're increasing in one dimension), so the answer is 958 + 66 = 1024 inches.

You can buy a 49 pound bag of flour for nine dollars or you can buy a one pound bag for $.41 compare the per pound cost for the large and small bags

Answers

Answer:

49 pound bag=$.19 per pound

one pound = $.41 per pound

Step-by-step explanation:

49 pound bag for $9

$9/49=$0.1836 per pound

49 pound bag=$.19

one pound = $.41 per pound

Ocean waves crash on the beach at a
velocity of 4.4 m/s. If the distance
between the crest of each wave is 4m,
find the frequency of the waves.

Answers

Answer:

f = 1.1 Hz

Step-by-step explanation:

Given that,

The velocity of an ocean wave, v = 4.4 m/s

The distance  between the crest of each wave is 4 m.

We need to find the frequency of the waves.

The distance between the crest of a wave is called the wavelength of a wave.

The relation between the frequency, wavelength and the velocity of a wave is given by :

[tex]v=f\lambda\\\\f=\dfrac{v}{\lambda}\\\\f=\dfrac{4.4}{4}\\\\f=1.1\ Hz[/tex]

So, the frequency of the waves is 1.1 Hz.

The soccer club has planned a trip to a tournament. The cost of the van is
$231. When 3 students who are not members of the club join the trip, the
transportation cost per person drops by $4.50. How many soccer club
members are going to the tournament?
A. 14
B. 11
C. -14
D. -14, 11

Answers

Answer: B: 11

Step-by-step explanation:

Just to the quiz for it

An equation is formed of two equal expressions. The number of players going to the tournament is 11.

What is an equation?

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Since the cost of the van is fixed, therefore, 231. Thus, the two equations can be written as,

P × x = 231(P-4.50)×(x+3)=231

Solving the above two equations we will get,

Px + 3P - 4.50x -13.5 = 231

3P - 4.50x - 13.5 = 0

3P - 4.50x = 13.5

3(231/x) - (4.50x) = 13.5

693 - 4.50x² = 13.5x

-4.50x² - 13.5x + 693 = 0

x² + 3x - 154 = 0

x = -14, 11

Since the number of members can not be negative, the number of players going to the tournament is 11.

Learn more about Equation:

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In how many ways can you answer a 13-question true-false test if you answer each question with either a "true" or a "false"?

Answers

Answer:

[tex]\frac{1}{1892}[/tex]

Step-by-step explanation:

There are two possibilities for each of 13 questions, true or false.  As a result, you have a [tex]\frac{1}{2}[/tex] chance of choosing either of the choices.  To find this, you would multiply the probability to the power of the number of cases, meaning [tex](\frac{1}{2^(13)})=\frac{1}{1892}[/tex].

WILL MARK BRAINLIEST!! PLZ HELP!! ASAP!
SELECT ALL THAT APPLY!!!! Sales tax is 7%. If c represents the retail cost of an item, which of the following expressions represent(s) the total cost of the item?
0.93 c
c - 0.07 c
1.07 c
0.07 c
c + 0.07 c

Answers

Answer:

c + 0.07c and 1.07c

Step-by-step explanation:

the sales cost will be added to the retail cost

Which of the following shows the correct evaluation for the exponential expression 1 over 5 to the power of 3?

1 over 5 times 3 equals 3 over 5
1 over 5 times 1 over 5 times 1 over 5 equals 1 over 125
1 over 5 plus 3 equals 3 and 1 over 5
1 over 5 divided by 3 equals 1 over 15
Question 2(Multiple Choice Worth 2 points)

(06.01)

Write the following expression in exponential form:

7.2 × 7.2 × 7.2 × 7.2 × 7.2 × 7.2

7.2 × 6
67.2
7.26
7.2 + 6
Question 3(Multiple Choice Worth 2 points)

(06.01)

If the edge length of a cube is 11 feet, what is the correct way to write the expression to represent the volume of the cube in exponential form?

11 × 11 × 11
311
11
113
Question 4(Multiple Choice Worth 4 points)

(06.01)

What is the value of the expression shown below?

7 + (10 − 4)2 ÷ 4 × 1 over 2 to the power of 3

8
8 and 1 over 6
8 and 1 over 8
79
Question 5 (Fill-In-The-Blank Worth 2 points)

(06.01)

What is the value of the expression 24 + 32?

Numerical Answers Expected!

Answer for Blank 1:


Question 6(Multiple Choice Worth 4 points)

(06.01)

What is the value of the expression shown below?

3 over 5 to the power of 2 + 4 × 3 − 2

10 and 9 over 25
11 and 2 over 25
12 and 9 over 25
13 and 2 over 25
Question 7 (Fill-In-The-Blank Worth 4 points)

(06.01)

WHOEVER ANSWERS ALL WILL GET BRAINLIEST!!!
Evaluate the expression 53 ÷ (13 − 8) × 2.

Numerical Answers Expected!

Answer for Blank 1:

Answers

Answer: The second answer to the question is 7.2 + 6.

Step-by-step explanation:

Please help meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee!

Answers

Answer:

girl I don't know the answer but download photomath it's a life changer

Answer:

it's B

Step-by-step explanation:

I did the math and the answer is b there is my explanation

can someone help me​

Answers

Answer:

ADB=45

Step-by-step explanation:

we know that angles a, b, c, and d are right, or 90 degrees. We also know that the two lines in the center are bisectors, which cut a angle perfectly in half. we can now use this equation for thet:

90/2=<ADB

ADB=45


Find the length of AD in the diagram shown.
A) 7
B) 7.5
C) 9
D 16.5

Answers

Answer: 16.5

Step-by-step explanation:

The correct answer is given :) , for proof please select the picture in order to understand.

3 less than the product of 4 and n what is the answer
A. 3 - 4n
B. 4n - 3
C. 3n - 4
D. 4n + 3

HELP QUICK

Answers

4n-3
product is multiplication so 4n would be the first part and then you take 3 away from it

Someone plz help me

Answers

Answer:

8.5 i think

Step-by-step explanation:

Answer:

the answer would be 8.5 inches

Step-by-step explanation:

its 8and a half not 0.85 so its placed wrong

5)
If the surface area of a cube is 150 cm?, what is the volume of the cube?




A) 125 cm3
B)150 cm3
C)175 cm3
D)225 cm3


PLEASE HELPPPP!!!

Answers

Step-by-step explanation:

volume of cube = a ³= 5³= 125 cm³

plz mark my answer as brainlist plzzzz vote me also.

hope this will be helpful to you .

Answer:125

Step-by-step explanation:

2/3 of the boats in the marina are white. 4/7 of the remaining boats are blue , and the rest are red . If there are 15 red boats, how many boats are in the marina?

Answers

Answer: The total boats in the marina are 105.

Step-by-step explanation:

Let the total number of boats in the marina = x

Given : Number of white boats in the marina = [tex]\frac{2}{3}x[/tex]

Number of blue boats in the marina = [tex]\frac{4}{7}\times (x-\frac{2x}{3})=\frac{4}{7}\times \frac{x}{3}=\frac{4x}{21}[/tex]

Number of red boats in the marina = [tex]x-\frac{2x}{3}-\frac{4x}{21}=\frac{3x}{21}[/tex]

Given : Number of red boats in the marina = 15

[tex]\frac{3}{21}\times x=15[/tex]

[tex]x=105[/tex]

Thus total boats in the marina are 105.

By working with fractions and proportions, we will see that there are 105 boats in the marina.

Working with the given information:

Let's say that there are N boats in the marina, we know that:

2/3 of these are white, then the proportion of boats that are not white is:

1 - 2/3 = 3/3 - 2/3 = 1/3.

Of these, 4/7 are blue, then the proportion of red ones is:

1 - 4/7 = 7/7 - 4/7 = 3/7

The total proportion of red boats is:

(3/7)*(1/3) = 1/7

And we know that there are 15 red boats, this means that:

(1/7)*N = 15

Solving for N we get:

N = 7*15 = 105

So there are 105 boats in the marina.

If you want to learn more about fractions, you can read:

https://brainly.com/question/11562149

A. 35.5
B. 10
C. 45
D. 39.3

Answers

Answer:

c

Step-by-step explanation:

Item 7 Adam is selling cookies for a fundraiser. The cookies cost him $1.49 a box. He is selling them for $2.25 a box. Adam sold 209 boxes of cookies. How much profit did Adam earn?

Answers

1.49 x 209 = $311.41
2.25 x 209 = $470.25

470.25 - 311.41 = $158.84


Hope this helps :))

Use the additive identity property to arrive at 6x=48.

Answers

8

→ 6x = 48

→ x = 48/6

→ x = 8

HOPE THIS HELPS YOU

Follw me = 10 thanks

Mark as brainliest = 10 thanks

1 thanks to me = 2 thanks

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