Find the difference of functions s and r shown
below.

r(x) = -X? + 3x
s(x) = 2x + 1
(s - r)(x) =

Answers

Answer 1

Answer:

x² - x + 1

Explanation:

Given:

r(x) = -x² + 3x

s(x) = 2x + 1

Required:

(s - r)(x)

Solution:

(s - r)(x) = s(x) - r(x)

Substitute

(s - r)(x) = (2x + 1) - (-x² + 3x)

Apply distribution property by multiply every term in the bracket by -1

(s - r)(x) = 2x + 1 + x² - 3x (recall: - × - = +; - × + = -)

Add like terms

(s - r)(x) = 2x - 3x + 1 + x²

(s - r)(x) = -x + 1 + x²

Rewrite in standard form

(s - r)(x) = x² - x + 1


Related Questions

Study the political cartoon.

A political cartoon shows a man on a wine barrel holding a cup in one hand and black flag in the other. There is a snake curled around the cup. On the barrel are listed different types of alcohol. In the background, groups of people are line up to drink. Some people are falling down with bottles in their hand. In the foreground a woman is weeping. Caption reads 60,000 annually in the states.

Which movement does this political cartoon represent?

religious reform
suffrage
temperance
voting rights

Answers

Answer: Temperance

Explanation:

In the 19th century, the Temperance movement gained a lot of steam in the United States and culminated with the Prohibition of Alcohol from 1920 to 1933.

The Temperance movement was founded by those who believed that alcohol was killing nations as people became intoxicated and got into all manner of social ills as well as it having negative effects on their social, professional and family lives.

The picture described above is trying to link alcohol to evil with the black flag and the snake around the cup meant to symbolize that. The people falling are intoxicated and the woman crying is meant to show the negative effects alcohol had on families.

I am going into freshman geometry next year. Does anyone have any tips for me? Anything I should do before going into it or things to know? All advice is appreciated

Answers

Hey! I’ll be doing freshman geometry as welI next year! There’s three types of geometry from what I’ve been toId by my brother who’s currently a sophomore. It’s really simpIe once you learn it, it consists of shapes, sizes, and space! It’s easier than aIgebra so that’s a plus. I found a helpful geometry quizIet if you’d like to look over it. I’ll link it in the comments

Which of the following innovations would be MOST likely to help African farmers?

I. Development of frost-resistant strains of seeds.
II. The invention of grain seeds that grow in hot, arid climates.
III. Introduction of farming methods suited to growing food in limited space.
IV. Development of chemical fertilizers that improve nutrients in the soil.

I and II
I and III
II and III
II and IV
III and IV

Answers

II and IV

explanation : shouldn’t be option I because africa isn’t cold, and i don’t think space is an issue, so therefore II and IV looks like the best choice

Answer: friend me rn

Explanation:

i mean if u want but bts

Select the correct answer.
What is the mood of the poem?

A.
optimistic
B.
serious
C.
nonchalant
D.
defiant

TEXT
“Hope” is the Thing with Feathers
by Emily Dickinson

Hope is the thing with feathers

That perches in the soul,

And sings the tune without the words,

And never stops at all,

And sweetest in the gale is heard;

And sore must be the storm

That could abash the little bird

That kept so many warm.

I've heard it in the chillest land,

And on the strangest sea;

Yet, never, in extremity,

It asked a crumb of me.

Answers

the answer is A. optimistic :)

Answer:

optimistic

Explanation:

A)One way in which the author's point of view is reflected in his description of United States actions against Cuba

Answers

Answer:

The author's point of view is reflected in this phrase; "..., in the near future, the United States using the pretext of an allegedly growing threat to the Western Hemisphere, will embark on a long process of increasing the pressure on governments of the Latin American countries to work out additional threats against Cuba."

Explanation:

The author's perspective is seen in his use of words like "pretext," and "allegedly". The author is thus saying that the United States is not straightforward, or completely honest in the claims of a threat to the Western Hemisphere. This phrase also shows that the author believes that the United States was being unnecessarily hard on the Cuban nation by threatening them.

We can sense that the author of the text favors Cuba as against the United States. In order to determine the author's perspective, careful attention ought to be given to certain key words in the text.

Why do scientists use Punnett squares? (Site 1)

Answers

Answer:

It helps to show what genotype/alleles will be passed down to an offspring during breeding.

it's a diagram so it's a visual explanation to help biologists understand the genotype that's passed down

Answer:

Scientists use Punnett squares to show what genotype/alleles will be passed down to an offspring during breeding. It's a diagram so it's a visual explanation to help biologists understand the genotype that's passed down. The Punnett rectangular is a rectangular diagram this is used to expect the genotypes of a specific go or breeding experiment. The presence of distinct alleles at a specific gene locus. A heterozygous genotype can also additionally encompass one everyday allele and one mutated allele or distinct mutated alleles (compound heterozygote). It is called after Reginald C. Punnett, who devised the method in 1905. The Punnett is utilized by biologists to decide the opportunity of an offspring having a specific genotype. A Punnett Square is a beneficial device that facilitates to expect the versions and chances that could come from go breeding.

Explanation:

100% Edge 2023!! You're welcome! Homework on my peeps!!

What is the difference between the U.S. system of government and Great Britain’s parliamentary system?

Answers

Hmmm... I'd say checks and balances.

How would you react if some random person in all black and a case came up too you and ask if you wanted 20,000,000 dollars in all cash?

Answers

serious answer: I would try to get myself out of the situation and report the individual to the authorities as they may be an endangerment to the public.

right answer: hell yah gimme that
I would be fairly happy but confused

What is the mood of the poem?

A.
indignant
B.
doubtful
C.
overwhelmed
D.
conciliatory

TEXT
from The Black Man’s Plea for Justice
by Ephraim David Tyler

Hear me, statesman,

I am pleading to defend

The black man’s cause.

Will you give me the protection

to outline your laws?

Will your lawyers plead my cases

in your courts?

Am I not a citizen?

I pay dear for transportation

over all your railroad track.

I come up to every requirement

and I will always pay my tax.

And when I don’t fill in blanks correctly,

will you kindly teach me how?

Ruling power of this nation,

will you give me justice now?

I prepared your wedding supper

and I dug your father’s grave.

I did everything you asked me

just because I was your slave.

I helped build your great bridges

and I laid your railroad steel.

Oh, I been a mighty power

in your great financial wheel.

And when I don’t do jobs correctly

will you kindly teach me how?

Ruling power of this nation

will you give me justice now?

Answers

Answer:The answer is a.

Explanation:

Because indigant means feeling or showing anger or anoyance at what is percived as unfair treatment

Answer:

Look at the attachment. Took the test on Edmentum

Explanation:

consider the following. the parent function is f(x)=3^x.
partA- IF g(x)=f(x)+k whats the value of k?
part B- if h(x)=f(x+k) whats the values of k?
partC- write the function of G(x) and H(x)

Answers

Answer:

Part A;

k = -1

Part B

k = -4

Part C

g(x) = 3ˣ - 1

h(x) = [tex]3^{x - 4}[/tex]

Explanation:

The parent function of the graph, is f(x) = 3ˣ

Part A;

g(x) = f(x) + k

When x = 0, f(x) = 3⁰ = 1

g(x) = f(x) + k = [tex]3 ^{x}[/tex] + k

Therefore;

When x = 0, g(0) = f(0) + k = [tex]3 ^{0}[/tex]  + k = k

From the graph, g(0) = -1, therefore;

g(0) = -1 = k

k = -1

Part B

h(x) = f(x + k)

When x = 4, h(4) = f(4 + k) = [tex]3 ^{(4 + k)}[/tex]  

From the graph, h(4) = 1, therefore;

h(4) = 1 = [tex]3 ^{(4 + k)}[/tex]

Therefore, we get;

ln(1) = (4 + k)·ln(3)

4 + k = ln(1)/ln(3) = 0

k = 0 - 4 = -4

k = -4

Part C

g(x) = f(x) + k

f(x) = 3ˣ, and k = -1

Therefore;

g(x) = 3ˣ - 1

h(x) = f(x + k)

f(x) = 3ˣ, and k = -4

Therefore;

h(x) = [tex]3^{x - 4}[/tex]

Who are from Nepal ,lumbini province ,butwal,plz ans

Answers

This is all one place.. I’m confused.

Answer:

I'm from Nepal. tq for the points.

Why didn't the Guarani wear more clothing?

Answers

Answer:

This is what I found. Please rewrite this in your own words before writing it down for your homework. This was someone else's answer.

what is the point of the mask? im giving seven points

Answers

Answer:

The below

Explanation:

the point of the mask is to stop covi,, to look cool, to cover scars,your ugly

and you dont want people to see you

Answer:

Down below :)

Explanation:

It's to help prevent the spread of cov-19, though there are still some chances of getting cov-19; it reduces the chance. It is also used to protect other people from getting the virus. Though I wear it to cover half of my face :D (stay safe y'all)

Who agrees that whether God exists or not depends in the end on whatever the individual decides?

A. Anselm
B. Aquinas
C. Paley
D. None of the other answers

Answers

Answer:

b

Explanation:

What can a student receive to help pay college expenses that does NOT require repayment?
A.parent plus loan
B.bank loan
C.academic scholarship
D.student loan

Answers

D student loan it doesn’t require repayment
The answer is Student loan

What is the difference between the U.S. system of government and Great Britain’s parliamentary system?

Answers

Answer:

While the president is the head of state as well as head of government in the United States, that office does not have the same power as the British Prime Minister, which is effectively an elected dictator. Further, while Congress makes the laws in the United States, Parliament is essentially the entire government.

Explanation:

I hope this will help u

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