for g(x)= x^2 -5x+8 find the average rate of change on interval [1,6]

Answers

Answer 1

The average rate of change on interval [1, 6] is equal to 2.

What is an average rate of change?

An average rate of change is also referred to as slope and it can be defined as a type of function that describes the average rate at which a quantity changes (decreases or increases) with respect to another quantity, over a period of time (interval).

In Mathematics, the average rate of change of f(x) on a closed interval [a, b] is given by:

Average rate of change = [f(b) - f(a)]/(b - a)

For f(a), we have:

f(a) = f(1) = 1² - 5(1) + 8

f(1) = 1 - 5 + 8

f(1) = 4

For f(b), we have:

f(b) = f(6) = 6² - 5(6) + 8

f(6) = 36 - 30 + 8

f(6) = 14

Substituting the parameters into the formula, we have;

Average rate of change = [f(b) - f(a)]/(b - a)

Average rate of change = [14 - 4]/(6 - 1)

Average rate of change = 10/5

Average rate of change = 2

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Related Questions

abcdefg
ROUND 1 TELL ME SOMETHING RANDOM ABOUT FNAF!!!

Answers

Answer:

Bonnie gave Scott Catholinightmareslanation:

Answer:

The crying children were stuffed into the suits of the animatronics

Explanation:

Tyra skimmed through the previous chapter of her art history book before beginning to read the chapter assigned to her as homework. Why did she do this?

Answers

The reason Tyra skimmed through the previous chapter of her art history book before beginning to read the chapter assigned to her as homework is: B. to gain background knowledge.

What is skimming?

In English literature, skimming can be defined as a reading technique in which the reader quickly reads a literary work such as a story, so as to only gather the main points (ideas) and background knowledge.

This ultimately implies that, skimming involves reading a text quickly through rapid eye movement while deliberately skipping some details.

What is previewing?

Previewing can be defined as a reading strategy used to gain an idea on what a literary work such as a novel is about without doing a detailed reading of its main body. This ultimately implies that, previewing can be used by a reader to set a purpose for reading a literary work.

In this context, we can reasonably infer and logically deduce that the reason Tyra skimmed through the previous chapter of her art history book before beginning to read the chapter assigned to her as homework is to gain background knowledge.

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Complete Question:

Tyra skimmed through the previous chapter of her art history book before beginning to read the chapter assigned to her as homework. Why did she do this?

To identify topic-related vocabulary

To gain background knowledge.

To use graphic indicators

To take notes about the content

your friend claims that the moons repeated orbit around the earth causes the cycle of the moons phases

Answers

Answer: A lunar phase is the shape of the directly sunlit portion of the Moon as viewed from Earth. It is a common misconception that the Earth’s shadow causes the phases of the Moon – but that’s totally wrong. Just like the Earth, the moon is only half-lit by the Sun at any time

Explanation:

Answer is True your friend is correct

Reason

The moon phases are produced due to the change of the relative positions of the Earth, the Moon and the Sun.
The part of the lunar surface lit up by the Sun that we can see from the Earth, is changing throughout a cycle that is repeated periodically every 29 days, 12 hours, 43 minutes and 12 seconds.

Type the correct answer in the box. Use numerals instead of words.
Mary invested $20,000 to open a food truck business that she parks at her local football stadium on game day. The cost of making one hotdog is $1. Assuming that the sales reach 1000 pieces, she wishes to earn 10% as a return on investment.

What is the target return price of product?

The target return price will be $

Answers

Answer: target price will be 25$

Explanation:

Y≤ 2x-5
Y>-22 +7
Graphing and shading this inequality system

Answers

38? Y increase length

Consider a specific school or workplace. Who would be the external customers for that organization?

Answers

The person like the teachers, other universities and the students would be the external customers for that organization.

What is an organization?

An organization is an entity made up of individuals or a group of individuals who gather together for a particular purpose, according to the definition of what is an organization. Then, an organization may be both profitable and unsuccessful.

An external user can be defined as a person who is not directly connected to the organization but is doing some kind of important role when it comes to it right could in a University or there will be teaching,  staff member, and students.

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What is the role of gravity in our galaxy?

Answers

Answer:

Gravity causes the motions in galaxies. It's why the solar system orbits around the galaxy. Gravity helped form our solar system, the planets, and the stars inside out galaxies.

Explanation:

Answer:

To make sure the parts dont drift off

BLUEBERRY REED ANSWERS UwU

Which quotation best suggests that Kevin probably feels increasing pressure from external expectations?

Answers

Answer:

b

Explanation:

Patient A came to the clinic after having a bike accident. She has severe pain in her left forearm. The pain increases when she moves the arm, and her arm is quite swollen. The X-ray shows an abnormality with the radius bone in the forearm

guys please help me i will mark you branilys this is science work.

Answers

Answer:

you dont get SAT  you aint freshmen and the answer is B the patient has nerve damage

Explanation:

Question 7 of 20
By combining what you enjoy with what you are good at, you will be able to
start:
OA. interviewing for jobs.
B. researching which jobs make the most money.
O C. researching career paths.
OD. understanding your achievements.

Answers

There isn’t really a right or wrong answer, it’s just what you feel best suits you.

;)back missed yall since 4th im in 6th

Answers

Answer:....good

Explanation:

there are no Question..

Welcome back on here then!

Of the 25 students in Missy's homeroom, 20 have been to the ocean. Write the ratio of students who have been to the ocean to the total number of students as a fraction in simplest form.

Answers

Answer:

Explanation:

2\

The fraction representing the ratio of students who have been to the ocean to the total number of students  is 4/5

How to determine the fraction

Note that fractions are defined as the part of a whole number or variable.

From the information given, we have that;

25 students in Missy's homeroom, 20 have been to the ocean.

Then, the ratio of students who have been to the ocean to the total number of students is expressed as;

20/25

Divide by the common factor 5, we get;

4/5

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A basketball team played six games. In those​ games, the team won by 9 ​points, lost by ​20, won by ​8, won by 10​, lost by ​2, and won by 7. What was the mean difference in game scores over the six​ games?

Answers

Answer:

Explanation:

if you add all of them up you get 56

divide that by the number of values in the set

you get 9.3

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