Factorize *
y² – 14 y +49
x2 + 3x - 40​

Answers

Answer 1

Answer:

The first term is, y2 its coefficient is 1 .

The middle term is, -14y its coefficient is -14 .

The last term, "the constant", is +49

Step-1 : Multiply the coefficient of the first term by the constant 1 • 49 = 49

Step-2 : Find two factors of 49 whose sum equals the coefficient of the middle term, which is -14 .

-49 + -1 = -50

-7 + -7 = -14 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -7 and -7

y2 - 7y - 7y - 49

Step-4 : Add up the first 2 terms, pulling out like factors :

y • (y-7)

Add up the last 2 terms, pulling out common factors :

7 • (y-7)

Step-5 : Add up the four terms of step 4 :

(y-7) • (y-7)

Which is the desired factorization

Multiplying Exponential Expressions:

1.2 Multiply (y-7) by (y-7)

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is (y-7) and the exponents are :

1 , as (y-7) is the same number as (y-7)1

and 1 , as (y-7) is the same number as (y-7)1

The product is therefore, (y-7)(1+1) = (y-7)2

Final result :

(y - 7)2

The first term is, x2 its coefficient is 1 .

The middle term is, +3x its coefficient is 3 .

The last term, "the constant", is -40

Step-1 : Multiply the coefficient of the first term by the constant 1 • -40 = -40

Step-2 : Find two factors of -40 whose sum equals the coefficient of the middle term, which is 3 .

-40 + 1 = -39

-20 + 2 = -18

-10 + 4 = -6

-8 + 5 = -3

-5 + 8 = 3 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -5 and 8

x2 - 5x + 8x - 40

Step-4 : Add up the first 2 terms, pulling out like factors :

x • (x-5)

Add up the last 2 terms, pulling out common factors :

8 • (x-5)

Step-5 : Add up the four terms of step 4 :

(x+8) • (x-5)

Which is the desired factorization

Final result :

(x + 8) • (x - 5)


Related Questions

Why is freedom of speech limited in the United States?

Answers

Answer: Free speech was limited in 1919 after a decision was reached about the Supreme Court case, Schenck v. United States. The court determined that free speech would not be permitted when it presented a "clear and present danger" to society.

The case in question was about to two individuals by the names of Charles Schneck and Elizabeth Baer. Shneck and Baer were socialists and they were distributing leaflets urging the public to disobey the United States draft. The Supreme Court ruled against Shneck and Baer's right to freedom of speech in this case because they believed that the government required deference during wartime.

Explanation:

Answer:

Why is the freedom of speech an important right? ... — The Supreme Court has determined that certain types of speech, such as fighting words, violent threats and misleading advertising, are of only “low” First Amendment value because they don't contribute to a public discussion of ideas, and are therefore not protected.

Explanation:

google

What was a shared reason why Austria-Hungary and Germany became members of the Triple Alliance? They had weak rulers.

Answers

Answer:

They shared ethnic ties.

Explanation:

If we track back to their history, Germany and Austria-Hungary were once part of the Holy Roman Empire and later became part of the Imperial State of Germany. They basically shared the same ancestry before their separation in 1871. Both Germany and Austria-Hungary remained close ally even after they run their government separately.

On top of that , they also shared a same vision. They wanted their ethnicity to be the dominant power in Europe. So they formed an alliance together with Italy and formed a Triple Alliance in 1882. (Italy also had a strong relation with the Roman empire)

What do the details help readers understand about
Kahlo's condition?
O Kahlo had a cast covering most of her body.
Kahlo had a cast fitted to her head.
Kahlo had completely recovered by the time she
woke up.
O Kahlo nearly died after the accident.
PLEASE ANSWER ASAP

Answers

Answer:

They give a visual image of what Kahlo looks like :) hope this helped

Answer:

a

Explanation:

Зр
23. THE TRADITIONAL RELIGIOUS BELIEFS OF THE INDIGENOUS
AUSTRALIANS ARE BASED ON THE EXISTENCE OF SPIRITS WHO HAVE
TRANSFORMED INTO NATURAL OBJECTS AND FORCES SUCH AS TREES,
WATER HOLES, THUNDER AND LIGHTING. WHAT EFFECT DOE THESE
RELIGIOUS BELIEFS HAVE ON TEH DAILY LOFE OF THE AUSTRIALIAN
ABORIGINAL PEOPLE?
A. THE ABORIGINAL PEOPLE ONLY LIVE IN RURAL AREAS.
B. THE ABORIGINAL PEOPLE SHUN MODERN TECHNOLOGY
C. THE ABORIGINAL PEOPLE OBJECT TO THE DESECRATION OF NATURE
D. THE ABORIGINAL PEOPLE AREVERY INVOLVED IN ENVIROMENTAL
ORGAN ATIONS

Answers

Answer:

The correct answer is option C "The Aboriginal people object to the desecration of nature"

Explanation:

Australian Aboriginal culture incorporates various practices and functions fixated on a confidence in the dream time and other folklore. Adoration and regard for the land and oral customs are underscored. More than 300 Dialects and different groupings have built up a wide scope of individual societies. Due the colonization of Australia under land nullius idea these societies were treated as one mono-culture.

Australian Aboriginal craftsmanship has existed for a large number of years and reaches from antiquated stone workmanship to current water shading scenes. Native music has built up various extraordinary instruments. Contemporary Australian Aboriginal music traverses numerous sorts. Native people groups didn't build up an arrangement of composing before colonization, yet there was a tremendous assortment of dialects, including communications via gestures

Evaluate the extent to which immigration affected United States culture in the period from 1840 to 1898.

Answers

Answer:

explanation below

Explanation:

Immigration in the United States of America was one that started happening since the first colonization was recorded and these colonisers were immigrants from Britain, Spain and France. There has been surge of immigration since the 1840s to the 1860s due to increased famine and revolutions in many areas of the world.  

Many colonies were formed and they later became independent and progressed towards becoming states, as intruders were pushed out and more lands taken by Americans.  

Immigrants were seen to be slightly inferior to the older-stock Americans and they worked for lower wages, thereby taking jobs from the native-born labour force.  

The immigration into the United states in the 1800s was one which general affected both the socioeconomic aspect of Americans as well as their culture.

    The inflow of immigrants into America led to cultural dilution. It also led to the introduction of new ideas, expertise, customs, cuisines, and art.

   

These immigrants shared new ideas and instead of erasing old culture, they expanded it.

Also immigrants were of intrinsic value in  facilitating America's industrial revolution

Learn more about immigration at https://brainly.com/question/5139857

Question 12 of 30
Look at this woodcut by M. C. Escher. What type of perspective is used in this
painting?
A. Inverted perspective
B. Aerial perspective
O C. Single-point perspective
O D. Atmospheric perspective

Answers

Answer:

C Single-point perspective

Explanation:

just took the exam'

Complete each sentence with the phrase that best describes early Indian achievements in technology.
Ancient Indians were able to produce fine swords because they____
Coins were critical to trade because they______
Metallurgists benefited farmers when they developed______

Answers

Answer:

Complete each sentence with the phrase that best describes early Indian achievements in technology.

Ancient Indians were able to produce fine swords because they  

✔ combined several metals

.

Coins were critical to trade because they  

✔ provided a standard measure of value

.

Metallurgists benefited farmers when they developed  

✔ new tools to turn the soil easily

.

hope this helps:)

Answer:

Complete each sentence with the phrase that best describes early Indian achievements in technology.

Ancient Indians were able to produce fine swords because they

combined several metals

.

Coins were critical to trade because they

provided a standard measure of value

.

Metallurgists benefited farmers when they developed

new tools to turn the soil easily

.

Explanation:

Plz help!!!
The culture of Caribbean South America can best be described as
Responses

A. mostly Spanish in some parts, very mixed in others.

B. mostly Roman Catholic.

C. predominately Spanish, with few other influences.

D. predominately Native American, with some European and African roots.

Answers

Answer:mostly spanish in some parts and very mixed in others

Explanation:

Under Hammurabi's Code, exactly what would happen if you were to accidentally break your friends cellphone? And what would happen if you were to borrow your friends bike and accidentally damage one of the tires under Hammurabi's Code?

Answers

Answer:

I'm not quite sure, but Hammurabi's code usually has a law that will kill you. The death penalty is prescribed for over 20 different offenses. Otherwise you will have to pay somebody back for their losses, which I think is the case here.

Explanation:

Hammurabi's codes were unjust because the punishments were too harsh for ignorant people's wrong doings, also gave the government a lot of power, and they had no chance to debate for justice.

Hope this helps :)

How did voodoo, practiced by African slaves, contribute to conflict in Louisiana?
It led many people of European ancestry attempting to prevent slaves from coming to Louisiana.

It brought slaves and Indians together in opposition to the French colonists.

It symbolized a threat to French control of the colony.

It led to the expulsion of many people from the Catholic Church because of their participation.

Answers

Answer:

It led many people of European ancestry attempting to prevent slaves from coming to Louisiana.

Explanation:

Im pretty sure

WILL GIVE BRAINLIEST The names of which areas of study have a Greek origin? Choose all answers that are correct.
A. physics
B. biology
C. geography
D. algebra
E. philosophy ​

Answers

Answer:

physics, biology, geography, and philosophy

Explanation:

geography, physics, philosophy, and biology!

uh, also i know its been 2 weeks since this post, but uhm i hope you got the answer right... and i hope you had a good christmas (if you celebrate) and have a happy new years <3

2. Which historical development illustrates the fulfillment of Winthrops
argument?
(A) Polk negotiated a compromise with the British over Oregon.
(B) Polk went to war to obtain
the whole of Oregon from Great Britain.
(C) Polk called a meeting in Baltimore to discuss annexation of
Oregon.
(D) Polk asked foreign countries to arbitrate the Oregon dispute.

Answers

Answer:

The historical development which illustrates the fulfillment of Winthrop's argument is:

(A) Polk negotiated a compromise with the British over Oregon.

Explanation:

Between 1859 and 1872, Great Britain and the US fought a bitter war for the control of Oregon.  This war was caused by a stray pig; no wonder, the US termed it: "the Pig War."  Earlier John Winthrop had argued that the United States, the New England, was to become "a city on a hill," very conspicuous to all men.  Possession of the new land signaled an alliance with the word of God.  Failure to uphold the human part of the covenant would expose the country to ridicule.  President Polk, fighting the Pig War with Great Britain over Oregon without victory, was a sign of failure to uphold the covenant.  The country was exposed to public ridicule because the war only ended with the signing of a treaty (a form of compromise), which ceded the whole of Vancouver to Britain and then Oregon to the US.

PLEASE HELP HISTORY 1 SIMPLE QUESTION
Is the constitution the same thing as the bill of rights

Answers

Answer:

No

Explanation:

its not the bill of rights is something completely different the consitution is government approached i think

no should be the correct answer

three reasons propaganda can be a bad thing.

Answers

Answer:

Heyo!

A propaganda could be a bad thing if:

It can be used to spread lies and deception under the guise of progress.

It can disrupt the case of peace and freedom.

It can change the minds of millions of people to believe that they are a superior race.

Explanation:

I hope this helped you out

Where were your internal organs is torrid after death in ancient Egypt

Answers

Answer:

Canopic jar

Explanation:

Canopic jar were used by ancient egyptian during mummification for storing the organs

they would store organs in jars

To what extent did people experience the Industrial Revolution differently?

Answers

Answer:

In factories, coal mines and other workplaces, people worked long hours in miserable conditions. As countries industrialized, factories became larger and produced more goods. Earlier forms of work and ways of life began to disappear. ... Once factories were built, most men no longer worked at home.

Explanation:

hope this helped :D

What is an example of a paradigm shift that will happen now or in the future?

50 points!!!

Answers

Explanation:

The internet created a paradigm shift in the way business is conducted. Email and scan replaced the fax machine and courier services. Orders for securities can now be placed online directly by the client and are sometimes executed in seconds.

What does the quote “Never stop learning until the coffin is shut” by Confucius mean?

Answers

Answer:

That's self explanatory

Explanation:

Since it states not to stop learning till "the coffin is shut" which mean that you should keep learning till the day you die

Which of the following statements about bonds is TRUE? A. A bond represents a share of ownership in a company, B. Bonds are considered relatively risky compared to stocks. C. Bonds pay out annual dividends. D. When a bond matures you get the full amount you loaned back with interest.

Answers

Based on investment strategy and concepts, the true statement about bonds is that A bond represents a share of ownership in a company.

What is a Bond?

Bond is a term that is used to describe external capital from the public. It is a debt instrument that entitled the bondholder to a period coupon payment as interest or compensation for holding the bonds while the issuer promise to return the principal of the bondholder when the instrument matures.

Generally, when individuals buy a bond, the person is lending to the issuer, which may be a government, municipality, or corporation.

Thereby giving the person to have a share in the ownership of the company.

Types of bondsTreasury, savings, agency, municipal, and corporate.

Hence, in this case, it is concluded that the correct answer is option A. A bond represents a share of ownership in a company

Learn more about Bonds here: https://brainly.com/question/25965295

#SPJ1

History question plz help!!!

Answers

Answer:Mercantilism

Explanation:

The ideal of fraternity was embraced by revolutionaries in France but not in America. Why was fraternity not part of revolutionary speeches and documents in the British colonies?

A.The idea of a brotherhood in American was too similar to the power of England's royal and noble blood lines.
B. Fraternity was an idea that conflicted with the American Revolution's emphasis on loyalty to kings
C. American revolutionaries were more interested in the rights of the individual than the idea of loyalty to a group.
D. Fraternity was a French word that did not mean anything to most Americans at that time.

Answers

Answer: American revolutionaries were more interested in the rights of the individual than the idea of loyalty to a group.

Answer:

American revolutionaries were more interested in the rights of the individual than the idea of loyalty to a group.

Explanation:

Did this on the exam and got it right

Which of the following actions of the 1920s highlights the efforts of the Kellogg-Briand Pact?
Advocating a policy to promote isolationism
O Holding a conference to renounce imperialism
O Signing an agreement to outlaw armed conflict
o Joining a league to secure military cooperation

Answers

Answer: Signing an agreement to outlaw armed conflict

Explanation:

The Kellogg-Briand Pact was an agreement signed in 1928 and championed by the then US Secretary of State, Frank Kellogg and the then French foreign minister, Aristide Briand.

Nations who were signatories to this Pact promised not to use war when resolving conflicts but rather to reach an agreement via negotiation. The Kellogg - Briand Pact was therefore an agreement to outlaw armed conflict.

Louis XIV is also known as _____ .
a.
“the Sun King”
c.
“The Divine King”
b.
“the Catholic King”
d.
“The Boy King”


Please select the best answer from the choices provided

A
B
C
D

Answers

Answer:

A. The Sun King

Explanation:

Louis XIV, known as Louis the Great or the Sun King, was King of France from 14 May 1643 until his death in 1715. His reign of 72 years and 110 days is the longest recorded of any monarch of a sovereign country in European history.

hope i helped

Answer:

A

Explanation:

Textbook

Hope I helped, have a godly day! :D And don't forget, if you liked my answer mark me brainliest!

Question 11 (2 points)
Due to its geographical location, South Carolina was BEST suited for growing which types of crops?
O a
Ob
Oc
Od
Rice and indigo
Indigo and corn
Tomatoes and pumpkins
Pumpkins and rice

Answers

B idigo and corn did this in school

How were US citizens divided over WWI?
Your answer

Answers

Answer:

The United States declared war on Germany on April 6, 1917, nearly three years after World War I started. A ceasefire and Armistice was declared on November 11, 1918. Before entering the war, the U.S. had remained neutral, though it had been an important supplier to the United Kingdom, France, and the other Allied powers.

Explanation:

hope that helps man brainly plz

What impact do the post-war economy, especially inflation from the war
have on workers?
NEED TO KNOW ASAP!

Answers

Answer:

Explanation: F or more than twenty years, economic development in the Federal Republic has been subject

to two principal factors: steady growth of the

GNP, in real terms, and equally steady creeping

inflation. During the 'fifties, the West German

economy had been growing mostly under conditions of annual inflation rates of 1 to 2 p.c.,

while the price level rose much more rapidly during the 'sixties. After the fifth post-war boom had

reached its summit in spring 1971, the inflation

rate hit a new high of 4.5 p.c., the steepest increase since the Korean War inflation. Against the

acceleration of price rises, the fight is being

waged in the Federal Republic using conventional

methods - monetary and fiscal restrictions. As

an additional measure to meet inflation only recently floating exchange rates were introduced.

Many economists believe, however, that West Germany now lives under the treat of an even deeper

recession than 1966/67 or, possibly, even under

that of an American-type "stagflation",

Falling prices for agricultural goods and rising prices for manufactured goods made life harder.

What does Newton's law of gravity say about two objects that become further apart or closer together?

Answers

Answer:

Below

Explanation:

Since gravitational force is inversely proportional to the square of the separation distance between the two interacting objects, more separation distance will result in weaker gravitational forces. So as two objects are separated from each other, the force of gravitational attraction between them also decreases.

Early civilizations developed mainly in -

A
areas with abundant mineral resources.

B
valleys near rivers.

C
areas with climatic diversity.

D
mountainous areas.

Answers

B valleys near rivers

Based on the first paragraph, identify ONE argument made in the “classic narrative” of the Columbian encounter.

Answers

Answer:

The "Columbian encounter" is called the event that occurred on October 12, 1492, when Christopher Columbus and a group of Spanish soldiers became the first European to set foot on the American continent. Thus, from this moment, which is considered as the discovery of America, the Spanish Empire and the remaining European powers (Portugal, France, Great Britain and the Netherlands mainly) began to establish colonies on the continent, starting the exploitation of their territories and natural resources. In the classic narrative of this event, the natives are called savages, as they supposedly were wild and violent, which is tendentious in that their behavior only responded to the violence with which the Europeans handled themselves during the conquest of their ancestral territories.

What does democratic mean?

A All people are free and equal.
B All people belong to the government.
C The government is free and equal.
D The government controls all.

Answers

All people are free and equal. Brainliest is appreciated<3

Answer:

A. All for free and equal

Explanation:

They try to make the world a better place and they believe in equality and freedom

Other Questions
2. What type of writing is represented in the following passage?Whales are mammals because they have lungs and breathe air, give birth to live offspring, and provide milk for their offspring. (1 point) narrative writing persuasive writing descriptive writing informational writing What is the rate $150/25 written as a unit rate?A. $30/5 B. $6/1 C. $4/1 D. $125/2 Marc mixes blue and yellow paint to make his favorite shade of green, which he'll use to paint his house. He has 14 cans of blue paint and 20 cans of yellow paint when he starts. He wants the same green color every time he mixes, so the amounts of blue and yellow must always be proportional to the original mixture. On day 1, he mixes 4 cans of blue and 6 cans of yellow. On day 2, he mixes 6 cans of blue and 9 cans of yellow. Fill in the blanks to find the highest number of cans of each color Marc can mix to make the same shade of green on day 3. 1. In simplest form, what is the ratio of blue paint to yellow paint in the mixture? The kinetic energy of the pom-pom came from potential energy in the system.How did potential energy gets stored in the spring/pom-pom system? what does it mean to say energy is conserved Which expression shows the prime factorization of 100?A 2 5 10B 1010C 10 10D 22 52 who was assigned responsibilities under athenian democracy? If a wagon is accelerating at a rate of 2 m/s and theforce acting on it is 20 N, what is the mass of thewagon? PLZ PUT THESE IN ORDER OF WHEN THEY HAPPENED THX SMART PEOPLEBattle of YorktownTreaty of Paris 1783Boston Tea PartyFrench and Indian WarBattle of Lexington and ConcordBattle of SaratogaCommon SenseDeclaration of Independence What is the mean of this data set?2, 3, 7, 4, 9A. 4B. 5C. 6D. 7 Plz help this is worth 30 points in what layer of the atmosphere is the ozone layer found if you like a person but the other person dont like you . what do you do?.. Select the correct answer.What is the exact solution to the system of equations shown on the graph?OA (-1.4)oc (-1,63)OD. (-1,43) Find the slope between (-1, 7) and (-3, 1). Reread lines 65-75 and identify details in the paragraph that show how Lincoln and Davis were similar. what is 3 x 3???while solving this enjoy a pack of noodles Mrs. Brown asked four students how to find the perimeter of a rectangle where l = length and w = width. Their answers are below. Which would NOT find the perimeter of a rectangle?A. P = l + w + l + wB. P = 2 x l + 2 x wC. P = 2(l + w)D. P = 2(l x w) Find the gradient of the line with equation Y=3-x Which expression is equivalent to -44PLease asap 12 points please dont just take them