the graph below represents the liner equation y equals 1 and 1/2 x -3 A second linear equation is represented by data in the table. What is the solution to the system of equations
Answers
Answer:
C. (2, -2)
Explanation:
Given:
[tex] y = \frac{1}{2}x - 3 [/tex] ----› Equation 1
Use the table to generate equation two of the system.
First, find the slope (m), and y-intercept (b).
Using two pairs, (0, 0) and (2, -2),
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 0}{2 - 0} = \frac{-2}{2} = -1 [/tex]
y-intercept (b) = 0 (i.e the value of y when x = 0)
Substitute m = -1, and b = 0 in [tex] y = mx + b [/tex]
Thus:
[tex] y = (-1)(x) + 0 [/tex]
[tex] y = -x [/tex] ----› Equation 2.
✔️Solve for x by substituting y = -x in equation 1
[tex] y = \frac{1}{2}x - 3 [/tex]
[tex] -x = \frac{1}{2}x - 3 [/tex]
Add 3 to both sides
[tex] -x + 3 = \frac{1}{2}x - 3 + 3 [/tex]
[tex] -x + 3 = \frac{1}{2}x [/tex]
Multiply both sides by 2
[tex] (-x + 3) \times 2 = \frac{1}{2}x \times 2 [/tex]
[tex] -2x + 6 = x [/tex]
Collect like terms
[tex] -2x - x = -6 [/tex]
[tex] -3x = -6 [/tex]
Divide both sides by -3
[tex] x = 2 [/tex]
✔️Substitute x = 2 in equation 2.
[tex] y = -x [/tex]
[tex] y = -2 [/tex]
Therefore the solution to the system of equations would be:
(2, -2)
Related Questions
Which of the following economic goals focuses on funding technological advances in production? (5 points
Efficiency
Equity
Freedom
Security
Answers
Answer:
Efficiency
Explanation:
Communists were people who favored the equal distribution of wealth and the end of all forms of private property
True
False
Answers
Answer:
yes it's false
Explanation:
Communism is a philosophical, social, political, economic ideology and movement whose ultimate goal is the establishment of a communist society, namely a socioeconomic order structured upon the ideas of common ownership of the means of production and the absence of social har!mony
When people are promoted based on talent and ability, this is called a
Answers
Answer:
Meritocracy.
Explanation:
Meritocracy is the promotion or appointment of people based on their merit, their ability, or talent. This means that people hold power according to their merit and talent.
This political status is in contrast with how societies are based on their class and wealth. And in this class, influence or class or even wealth has no hold on what position a person can hold. Rather, his/ her ability and talent will influence what position or power he/ she will be given.
what would be a "not an example" for curious?
Answers
Answer:unmoved or detached
Explanation:
Each of the following is an investment consideration EXCEPT:
A.
risk
B.
return
C.
publicity
D.
liquidity
Please select the best answer from the choices provided
A
B
C
D
Answers
Answer:
C-Publicity
Explanation:
Answer:
C. publicity
Explanation:
Edge 2021
PLEASE HELP ME
What did Alonzo Herndon and John Pemberton have in common during Georgia's New South era?
•They were industrialists who started textile manufacturing plants.
•They were entrepreneurs who launched successful businesses.
•They were farmers who invented new crops to sell worldwide.
•They were politicians who promoted entrepreneurship.
Answers
Answer:
They were entrepreneurs who launched successful businesses.
Explanation:
Answer:
•They were entrepreneurs who launched successful businesses.
Explanation:
How were the city states of Ancient Greece organized
Answers
Answer:
Each city-state was organized with an urban center and the surrounding countryside. Characteristics of the city in a polis were outer walls for protection, as well as a public space that included temples and government buildings. The temples and government buildings were often built on the top of a hill, or acropolis.
Explanation:
describe the process of joining the early church. what risks were the catechumens taking by becoming christians?
Answers
Answer:
i have no clue
Explanation:
MENTION THE STAGES OF CONFLICT MANAGEMENT
Answers
Explanation:
FIVE STAGES OF CONFLICT:
Latent Stage: Participants not yet aware of conflict
Perceived Stage: Participants aware a conflict exists
Felt Stage: Stress and anxiety
Manifest: Conflict is open and can be observed
Aftermath: Outcome of conflict, resolution or dissolution
How does the electoral college help us become better citizens?
Answers
Answer:
When citizens cast their ballots for president in the popular vote, they elect a slate of electors. Electors then cast the votes that decide who becomes president of the United States. Usually, electoral votes align with the popular vote in an election.
Explanation:
where and How do hindus practice their religion?
Answers
The majority of Hindu homes have a shrine where offerings are made and prayers are said. A shrine can be anything: a room, a small altar or simply pictures or statues of the deity. Family members often worship together. Rituals should be performed three times a day.
Answer:
The majority of Hindu homes have a shrine where offerings are made and prayers are said. A shrine can be anything: a room, a small altar or simply pictures or statues of the deity. Family members often worship together. Rituals should be performed three times a day.
Explanation:
Both the Greeks and the ______________ created colonies on the Southern coast of Western Europe.
Question 2 options:
Egyptians
Sumerians
Phoenicians
Persians
Answers
Answer:
Phoenicians
Explanation:
i know its right because i am awesome
Hi everybody I am in K12 and I did the quiz the answer is Phoenicians
I am glad I helped if you have any question put it in the comments
Have a wonderful day
What did the French Revolution show about the “Limits of Liberty?”
Answers
Answer:
The French Revolution was succesful in removing the French Monarchy from power, but it was also unsuccesful in many ways.
The Revolution quickly descended into chaos when many factions began to fight with each other.
For this reason, the Revolution shows that total freedom can easily lead to social and political upheaval, and end in the opposite of what was sought in first place. In the case of the Revolution, the final stage was the return to authoritarianism under the regime of Napoleon.
How did building codes improve the quality of life for tenement dwellers?
Answers
Answer:
i need points
Explanation:
Which of these is a problem that hurricanes and tropical storms can cause
Answers
Answer:
damage and loss of valuables... hope this helps :)
Answer:
Storm Surges hope this help. Don't forget to say thanks and rate if this helped you.
Explanation:
Hazards from tropical cyclones (which include tropical depressions, tropical storms, and hurricanes) include storm surge flooding, inland flooding from heavy rains, destructive winds, tornadoes, and high surf and rip currents.
The government should not censor speech, press, media, or the Internet.
Answers
Answer:
is this a statement or is it supposed to be a question lol?
Explanation:
drag and drop features to match each type of government.
autocracy, democracy.
Laws protect civil rights.
Government tends toward a command economy.
Government generally favors a market economy.
Laws restrict individual freedoms.
Answers
Answer: Democraty : Government generally favors a market economy, Laws protect civil rights.
Autocraty : Government tends toward a command economy, Laws restrict individual freedoms.
Explanation:
An autocracy is a form of rule by one man or one group of people. In these forms of government, there is a violation of basic human rights and freedoms, a lack of will of the people, and people's right to vote and be elected. Terms associated with the autocratic rule on the list are the command economy and laws that restrict personal freedoms. The command economy is therefore characteristic of such societies; this type of economy implies all state-owned capital. That implies the exclusion of starting a private business and the possibility of confiscating private property by the state. These elements were in force during Stalinism in the Soviet Union. Restrictions on freedoms are still in force today in certain autocratic regimes such as North Korea, where basic human rights are violated daily.
A market economy is characteristic of democratic societies; it implies a free market and competition. The market economy acts as a market mechanism for the interaction of supply and demand. In democratic systems, the absence of laws that protect citizens is inconceivable. Many elements of this protection are involved in the very constitutions of democratic systems. Laws in this context should be enforced evenly and equally to all citizens.
Which of the following is NOT a similarity between Nubia/Kush and Egypt?
A.They both used the same hieroglyphics
B.They both lived on the Nile river
C.They both were great metal workers
D.They both believed in the concept of ka
Answers
Answer:
B
Explanation:
Kush's collapse in fourth century AD was preceded by an invasion from Ethiopia's Kingdom of Aksum and the rise of three Christian kingdoms: Nobatia, Makuria and Alodia. Makuria and Alodia lasted for roughly a millennium. Their eventual decline started not only the partition of Nubia, which was split into the northern half conquered by the Ottomans and the southern half by the Sennar sultanate, in the sixteenth century, but also a rapid Islamization and partial Arabization of the Nubian people. Nubia was reunited with the Khedivate of Egypt in the nineteenth century. Today, the region of Nubia is split between Egypt and Sudan.
Kush's collapse in fourth century AD was preceded by an invasion from Ethiopia's Kingdom of Aksum and the rise of three Christian kingdoms: Nobatia, Makuria and Alodia. Makuria and Alodia lasted for roughly a millennium. Their eventual decline started not only the partition of Nubia, which was split into the northern half conquered by the Ottomans and the southern half by the Sennar sultanate, in the sixteenth century, but also a rapid Islamization and partial Arabization of the Nubian people. Nubia was reunited with the Khedivate of Egypt in the nineteenth century. Today, the region of Nubia is split between Egypt and Sudan.The primarily archaeological science dealing with ancient Nubia is called Nubiology.
Help pls if I don’t get this right i get no allowance :(
Answers
Answer:
1. They absorb water and minerals directly through their leaflike scales.
2. Fungi are not able to ingest their food like animals do. Fungi feed by absorption of nutrients from the environment around them like dead or decaying material.
Explanation:
4. Which of the following is not a feature(s) of Indian secularism?
(a) It does not support any one religion.
b) It adopts a strategy of non-interference with religious practices.
(c)The state intervenes in order to prevent the domination of some members within a religious community.
(d) The state does not provide financial aid to any religious school.
Answers
Answer:
I think it's C
Explanation:
All of the other things, would be features.
India is facing a significant challenge with regard to its population. Which of the following statements best explains what is
happening in India today?
A. Its population is aging.
B. Its population is shrinking.
C. Its population is growing too quickly.
D. Its population is not growing quickly enough.
Please select the best answer from the choices provided
OA
OB
OC
OD
Answers
Answer:
B. Its population is shrinking or decreasing
Explanation:
Because growth rate has been slowing for the past few decades, a decline in poverty level rising education levels, especially among women and growing urbanization.
hope it helps!
Answer:
B
Explanation:
They are trying to slow down the growth. If they do not, they will soon be ahead of China in population!
PLEASE HELP!!!
What are the origins of the human Immunodeficiency virus?
Answers
Answer:
HIV crossed from chimps to humans in the 1920s in what is now the Democratic Republic of Congo. This was probably as a result of chimps carrying the Simian Immunodeficiency Virus (SIV), a virus closely related to HIV, being hunted and eaten by people living in the area
Explanation:
Answer:
china yung mag virus
Explanation:
but im not sure
What is one feature of the free enterprise system?
A. The government guarantees a job for every citizen
B. Consumers are free to make their own choices
C. There is very little inequality between the rich and poor
D. Businesses cannot take advantage of consumers
Answers
Answer:
B
That answer is the main component of the free enterprise system
According to the author, why do many Somalis die from disease?
hear the passage
Unlike every other country in the world, Somalia has no government. It is an extremely dangerous area. Numerous agencies designed to give aid to such countries in need have been a part of Somalia's recovery for years; however, many had to leave due to kidnappings. Refugee camps now fill the area, basic needs cannot be met, and diseases spread rapidly. Doctors are rarely visited, because very few people can afford the medical care.
here the answers
A.
Doctors in Somalia cannot cure the diseases.
B.
They cannot afford to use private hospitals.
C.
They do not know that there are hospitals.
D.
Their religion does not let them use medicine.
Answers
Answer:
b
Explanation:
at the end of the passage it says that they cannot afford it
How does he Andy from the sun power the water cycle .. use the terms heat energy evaporation, condensation and precipitation in your Answer and PLZ DONT GET IT FROM GOOGLE
Answers
Answer:
thank you very much
i know that you figure it out the answer
Explanation:
Which of the following are examples of culture? (mark all that
apply)
•gender roles
•language
•religion
•land use
•foods
Answers
Answer:
Religion ,language
Explanation:
PLZ ANSWER ASAP
which number on the map represents the country of Ukraine?
Answers
Answer:
5
Explanation:
Summarize the spread of Buddhism.
Answers
which of the following led greek communities to build both an army and a navy
Answers
Answer:
their location on a peninsula.
Answer:
Because the migrated to peninsula
What is the name for the style of writing developed by the ancient Egyptians? (5 points)
Question 15 options:
1)
cuneiform
2)
hieroglyphics
3)
symbolic
4)
alphabetic
Answers
Answer:
1
Explanation:
i pasted
Answer:
red
Explanation:
lsdtr