Given the function h(x)=x^2-7x+6h(x)=x
2
−7x+6, determine the average rate of change of the function over the interval 1\le x \le 61≤x≤6.

Answers

Answer 1

Answer:

[tex]0[/tex] (no change)

Step-by-step explanation:

Recall that the average rate of change of a function [tex]f(x)[/tex] over the interval [tex][a,b][/tex] is equal to [tex]\frac{f(b)-f(a)}{b-a}[/tex]:

[tex]\frac{h(b)-h(a)}{b-a}\\ \\\frac{h(6)-h(1)}{6-1}\\\\\frac{0-0}{5}\\ \\0[/tex]

Hence, the average rate of change of the function [tex]h(x)[/tex] over the interval [tex][1,6][/tex] is [tex]0[/tex], or no change.


Related Questions

PICTURE DOWN BELOW
Jackson paints murals on walls. In order to paint one of his murals, he
needs a rectangular area that is at least 4 feet wide and 3 feet high. The
width and height have to increase by the same amount of feet, x. Which
equation represents all the possible areas for the rectangular murals?


my answer was incorrect. please help!

Answers

Answer:

A

Step-by-step explanation:

describe another way you could slice the pyramid that would result in a different cross section

Answers

Answer:

45 degree ange slice

Step-by-step explanation:

which point best represents \sqrt{10}

Answers

Answer:

Point Q

Step-by-step explanation:

Find the perfect squares that are either side of 10.

Perfect squares:  1, 4, 9, 16, 25, ....

Therefore, 10 is between 9 and 16.

[tex]\implies \sqrt{9} < \sqrt{10} < \sqrt{16}[/tex]

[tex]\implies 3 < \sqrt{10} < 4[/tex]

So √10 is between 3 and 4.

As 10 is closer to 9 than it is to 16, √10 is closer to √9 than √16, which means that √10 is closer to 3.

Therefore, point Q best represents √10

A yogurt shop offers 25 flavors of frozen yogurt. Evie randomly chooses 3 different flavors for her banana split. What is the probability she chooses chocolate, vanilla, and strawberry?.

Answers

The probability of choosing chocolate, vanilla, and strawberry flavor is 1 / 625

What is the probability?

Probability determines the likelihood that a random event would happen.  The probability the event occurs with certainty is 1 and the probability that the event would not occur with certainty is 0.

The probability of choosing chocolate, vanilla, and strawberry flavor = (1 / 25)³ =  1 / 625

To learn more about probability, please check: https://brainly.com/question/13234031

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50 points!!!
A quadratic function has one solution at x=-2-√6

What is the exact value of the other root?

x= ________

Answers

Answer:

Step-by-step explanation:

Discussion

The form of this root is a "mirror image" of the root that is given. They come in pairs.

So the exact value of the other root is

x = - 2 + √6

You should be very careful looking at this root. The only  difference is the plus sign where the minus sign used to be.

The given root has to be of the form a rational number ± an irrational number.

Later on, when you get into higher math classes, you will find there is another kind of number that this same rule applies to.

Plss hellppp. Worth 10 points<3

A person might write a lyric poem if they were:

writing a script for a play
writing a short humorous story
writing a research paper on Shakespeare
writing a poem about someone who has died

Answers

Answer:

writing a poem about someone who has died

Step-by-step explanation:

lyric poems are deep, emotional, and powerful, thus the selected option should be best for that

Answer:

The last one

Step-by-step explanation:

D is at the top of a tree 8 meters tall. you are on the ground, 10 meters away from the bird. how far are you
the base of the tree?
710 meters
36 meters
6 meters
v6 meters

Answers

710 I think because I am in year 6

12x^2+ 16x factor by gcf

Answers

Answer:

The factor of 12x^2 + 16 is 4x (3x+4)

What word best describes the DEMAND for snow boots in Florida?
A. High in the winter
B. High all year long
C. Low in the fall
D. low all year long

Answers

Answer:

D low all year long because it doesn't snow in Florida

Step-by-step explanation:

Answer:

D. Low all year long

Step-by-step explanation:

It rarely snows in Florida, even in northern Florida.

find the area of the quadrillateral round to the nearest tenth.

Answers

Answer:

49.2

Step-by-step explanation:

See the attachment

Find BC. Please help fast I really need this answer for this test !!!

Answers

Answer:

16

Step-by-step explanation:

10*2 = 20

8*2 = 16

What is the slope of the line containing (-2,9) and (3,-1)?

A. 2
B. -2
C.-1/2
D 1/2

Answers

slope is

9-(-1)/-2-3

10/(-5)

=-2

slope is -2

[tex]\rule{300}{1}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

     What is the slope of the line containing (-2, 9) and (3, -1)?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We can find the slope using the following formula:-

[tex]\boxed{\frac{y_2-y_1}{x_2-x_1}}[/tex]

[tex]\bigstar[/tex] substitute the numbers in lieu of the letters:-

[tex]\boxed{\frac{-1-9}{3-(-2)}}[/tex]

[tex]\dagger[/tex] On simplification,

[tex]\boxed{\frac{-10}{3+2}}[/tex]

[tex]\dagger[/tex] On further simplification,

[tex]\boxed{\frac{-10}{5}}[/tex]

[tex]\dagger[/tex] Which simplifies to

[tex]\boxed{Slope=-2}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

do all three.. Write the product using exponents.

Answers

Answer:

2. [tex]-2^{3}[/tex]

4. [tex]-1.2^{3}[/tex]

6. [tex]-100n^{3}[/tex]

Step-by-step explanation:

hope this helps and is right!! p.s. i really need brainliest :)

Skyler goes to a school which has 1000 students in it.
She asks 40 random students whether they like the new 8.30 am start to the day.
30 of them say 'no' they do not like it.
Use this information to estimate how many students in the whole school
dislike the 8.30 am start.
30
Sampling Populations
View One Minute Version
Overview
Sampling Populations

Answers

Answer:

it's estimated that 750 students in the whole school dislike the 8:30am start time.

Step-by-step explanation:

Since 30 of the 40 students said "no", it means 30/40, or 3/4 of the random sample disliked the 8:30am start time. Multiply this by the whole population: 1,000 × (3/4) = 750.

Another way to check this is using 10/40 = .25 and doing 1000x.25 = 250 (the amount of students who liked it). Then subtract from whole population and it's 750.

Which is the correct order of mass from least to greatest

Answers

Nitrogen, Helium, Hydrogen

C,B,A

Find the volume of the cone. Round your answer to the nearest tenth. 15 cm 4 cm

Answers

Answer:

Step-by-step explanation:

A jar contains 3 blue marbles and 2 red marbles.

A marble is randomly selected from the jar and replaced, and then a second marble is chosen.

The probability that a blue marble was chosen both times is __%.

Answers

Answer: 9/25 or 36%

Step-by-step explanation:

The first time it is a probability of 3/5, and the second blue also has a prbability of 3/5. Multiply them together since it is an "and" situation, and you get 9/25. Or, in percentages, it is 60% * 60%, or 0.6 * 0.6, which is 36% or 0.36. Hope this helps!

Answer:

the correct answer is 36%

Step-by-step explanation:

I got it right on Edmentum

Hook me up with a 5 star and a thanks :)

Find the sum of the interior angles of a regular decagon. (10-sided figure)

Answers

Answer:

The interior angles add up to 1440 degrees, and the exterior angles add up to 360 degrees.

Step-by-step explanation:

Search "angle of a decagon"

A concert is being held in an auditorium that seats 600 people. the balcony seats 50 people and there sre 55 rows in the remainder of thr auditorium how msny chairs are in each row

Answers

Answer:

10 seats

Step-by-step explanation:

600-50 = 550

550/55 = 10

31) Given the parent function f(x) = |x|, describe the translation of the function g(x) = 2|x] + 9 from the parent function.​

Answers

Answer:

the graph is shifted up 9, compressed by a factor of 2

Step-by-step explanation:

General form of an absolute value equation:

f(x)= a|x - h| + k

The variable a tells us how far the graph stretches vertically, and whether the graph opens up or down. The variables h tell us how far the graph shifts horizontally and vertically.

parent function f(x) = |x|,  

the translation of the function g(x) = 2|x| + 9 from the parent function.

- the +9 shift the graph up 9

- the 2 compresses the graph

Can the sides of a triangle have lengths 13, 1, and 1?

Answers

Answer:

no you cant

Step-by-step explanation:

What is the length of AB?
12 units
10 units
6 units
14 units

Answers

Answer:

10 units

Step-by-step explanation:

From the graph,

Coordinates of A = (-7,-6)

Coordinates of B = (1,0)

Distance between two coordinates is given by the formula,

[tex] = > \sqrt{( {x_{2}-x_{1}}^{2} ) + ( {y_{2}-y_{1}}^{2} )} [/tex]

Let A(-7,-6) = (x1 , y1)

B(1,0) = (x2 , y2)

=> AB = √[( 1 - (-7))² + ( 0 - (-6))²]

=> AB = √ 8² + 6² = √ 64 + 36 = √100

=> AB = 10 units

Which equation correctly demonstrates the distributive property?

A. 7(6c - 4d) = 14cd
B. 30(3a + 2b) = 90a + 60b
C. 16(3j - 4k) = 48j - 4k
D. 4(2f + 5g) = 28fg

Answers

Answer:

B.

Step-by-step explanation:

b is the correct answer


7. how many tiles measuring
20cm x 20cm
are needed to tile a bathroom 3.5m long
and 2.8m wide?

Answers

Answer:

245 tiles

Step-by-step explanation:

1 meter = 100 cm

Area of bathroom = 3.5m x 2.8m = 350x280 = 9800 cm²

Area of each tile = 20cm x 20cm = 400 cm²

Total number of tiles required = 9800/400 = 245

Note

Strictly speaking we have to find out how many tiles can be fitted in the length and breadth of the bathroom. Since the bathroom is 350 cm wide, we can fit 350/20cm = 17.5 tiles. However, there is no concept of 1/2 tile so the question has an ambiguity. along the width, we can fit 280/10 = 14 tiles

17.5 x 14 = 245 but if the question is reworded to how many tiles do we need to purchase to floor the bathroom it would be 18 x 14 = 252

Simplify the algebraic expression

Answers

The simplified form of the given algebraic expression will be 13/8 x - 5/6.

How to find the sum of algebraic fractions?

Finding the least common multiples of the denominator expressions can help.

Then using the similar method as we use in the sum of fractions would give the sum of algebraic fractions.

For example,

[tex]\dfrac{a}b} + \dfrac{c}{d} = \dfrac{a \times d + c \times b}{bd}[/tex]

We have the given algebraic expression. we need to simplify the expression.

[tex]\dfrac{3}{4}x -\dfrac{1}{3} +\dfrac{7}{8} x-\dfrac{1}{2} \\\\\\\dfrac{3}{4}x +\dfrac{7}{8} x-\dfrac{1}{3} -\dfrac{1}{2} \\\\\\\dfrac{(6+7)}{8} x - \dfrac{(2+3)}{6} \\\\\\\dfrac{13}{8} x - \dfrac{5}{6}[/tex]

Learn more about multiplication here:

https://brainly.com/question/26816519

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what is the value of a in the equation 3(a +1.5) = -1.5

Answers

AnswerAnswer:

a= -2

Step-by-step explanation

[tex]\huge\underline{\purple {A}\purple{n}\purple {s}\purple {w}\purple {e}\purple {r} ➾}[/tex]

a = –2

Step-by-step explanation:

⟿ 3(a + 1.5) = – 1.5

Dividing both sides with 3.

⟿ 3(a + 1.5)/3 = – 1.5/3⟿ a + 1.5 = – 0.5

Subtract –1.5 from both the sides.

⟿ a + 1.5 – 1.5 = – 0.5 – 1.5⟿ a = – 2

Hope it helps you!!

Please help ?
What association does the scatter plot show?
A - positive nonlinear association
B - positive linear association
C - no association
D - negative nonlinear association
E - negative linear association

Answers

Answer:

C - no association

Step-by-step explanation:

The data isn't linked/following a general trend.

please help with this kenken puzzle

Answers

Answer:

sorry it took long, got a bit distracted.

Name the solution(s) for the system of equations.

Answers

Answer:

(1,5)

(-1,3)

Step-by-step explanation:

The solution is in the image

3. Which statement is true?

Answers

Answer:

C

Step-by-step explanation:

A is wrong because 10 is not prime

B is wrong because still above^^

D is wrong because diagonals of a rhombus are not congruent.

So C is correct

D. A and B are wrong because 10 is not prime, and the sides of a rhombus are congruent
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