Determining the Correct Process for Solving an Absolute Value Equation Which statements are true for solving the equation 0.5 – |x – 12| = –0.25? Check all that apply. The equation will have no solutions. A good first step for solving the equation is to subtract 0.5 from both sides of the equation. A good first step for solving the equation is to split it into a positive case and a negative case. The positive case of this equation is 0.5 – |x – 12| = 0.25. The negative case of this equation is x – 12 = –0.75. The equation will have only 1 solution

Answers

Answer 1

Answer: The correct statements are:

A good first step for solving the equation is to split it into a positive case and a negative case.

The positive case of this equation is 0.5 - |x - 12| = 0.25.

The negative case of this equation is x - 12 = -0.75.

The equation will have only 1 solution.

Answer 2

The required correct statements are below in the solution part.

What is absolute value?

Absolute value is defined as the magnitude or size of a number, no negatives are allowed. The distance a number is from 0 on the number line is known as the absolute value of the number.  

The correct statements are:

A good first step for solving the equation is to split it into a positive case and a negative case.

The positive case of this equation is 0.5 – |x – 12| = 0.25.

The negative case of this equation is x – 12 = -0.75.

The equation will have only 1 solution.

The steps for solving the equation are:

Split the equation into two cases based on the value of x relative to 12:

If x > 12, then |x – 12| = x – 12, so the equation becomes 0.5 – (x – 12) = –0.25, or x = 11.75

If x < 12, then |x – 12| = 12 – x, so the equation becomes 0.5 – (12 – x) = –0.25, or x = 11.75

Check each case to see if it satisfies the original equation:

Both cases give the same value of x = 11.75, so this is the only solution to the equation.

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Related Questions

Question 3 of 10
Most applications will ask you to provide all of the
following information except.
A. days and hours that you are available to work.
B. your desired salary or wage.
C. the date you can start work.
D. how long you want to work for the establishment.
SUBMIT

Answers

Answer:

D.

Explanation:

The one question that no application will ask would be "how long you want to work for the establishment." This is usually not asked because no one knows the future and there are many variables that affect whether or not an individual stays at a certain job. The individual can end up not liking the job and quitting after a couple of days. Employers on the other hand, hire and train individuals so that they stay for a long time but have little control over this.

how did the ideals of confucianism influence social order

Answers

Answer:

Their social order was based on Confucian values. Scholars and farmers were highly respected. ... Merchants had little respect and had restrictions on their daily life.

Explanation:

hope this helps!!!

What is one essential element of the direct service provider role?

Answers

A direct support professional is a person who assists an individual with a disability to lead a self-directed life and contribute to the community, assists with activities of daily living if needed, and encourages attitudes and behaviors that enhance community inclusion
The direct service provider plays a role in assisting an individual with a disability to lead a self directed life and contribute to the community.

PLS ANSWER QUICK!!!!
How long does it take for a light particle to travel 25 light years?

Answers

The speed of light is approximately 186,282 miles per second, and a light year is the distance that light travels in one year, which is approximately 5.88 trillion miles. Therefore, it would take a light particle approximately 25 * 5.88 trillion miles / 186,282 miles per second = 8.46 * 10^14 seconds to travel 25 light years.

This time is so large that it is usually measured in years rather than seconds. To convert the time to years, we would need to divide the time in seconds by the number of seconds in a year, which is approximately 31.5 million seconds. This would give us a time of approximately 8.46 * 10^14 seconds / 31.5 million seconds = 26,847 years.

Therefore, it would take approximately 26,847 years for a light particle to travel 25 light years. Note that this is just an approximate value, as the exact time would depend on various factors such as the exact speed of light and the distance traveled.

In her Book of Common Sense Etiquette (1962), former first lady Eleanor Roosevelt wrote, "True patriotism springs
from a belief in the dignity of the individual, freedom and equality not only for Americans but for all people on earth,
universal brotherhood and good will, and a constant striving toward the principles and ideals on which this country was
founded. "

Carefully consider Roosevelt’s definition of patriotism. Then write a well-developed essay in which you argue your
position on what it means to be a true patriot.

In your response you should do the following:

Respond to the prompt with a thesis that may establish a line of reasoning.

Explain the relationship between the evidence and your thesis.

Select and use evidence to develop and support your line of reasoning.

Demonstrate an understanding of the rhetorical situation

Answers

Answer:

According to Eleanor Roosevelt, true patriotism is rooted in a belief in the dignity of the individual, freedom and equality for all people, universal brotherhood and good will, and a constant striving toward the principles and ideals on which the United States was founded. In other words, being a true patriot means valuing and upholding the fundamental values that define the American identity.

In my view, being a true patriot means not only embracing these values but also actively working to promote and defend them. It means standing up for what is right, even when it is difficult or unpopular. It means being willing to make sacrifices for the greater good and to put the needs of others before our own. It means being committed to building a better future for ourselves and for future generations.

This definition of patriotism is supported by historical evidence. Throughout American history, true patriots have fought for freedom, equality, and justice. They have stood up against tyranny and oppression, both at home and abroad. They have worked tirelessly to build a more perfect union, one that lives up to the ideals enshrined in our founding documents.

In conclusion, being a true patriot means more than simply waving a flag or singing the national anthem. It means embracing the values that define us as Americans and actively working to promote and defend them. It means standing up for what is right, even when it is difficult or unpopular. And it means being committed to building a better future for ourselves and for future generations.

Explanation:

PLS HELP
Explain the difference between surface mining and sub-surface mining.

Answers

Answer:

Surface mining removes ore deposits that are close to the surface, and subsurface mining removes minerals that are deep underground. While mineral use is very important to us, there are also many environmental impacts, such as erosion, air and water pollution, land destruction and harm to mine workers.

Explanation:

Surface - Subsurface

Surface means the outside part or uppermost layer of something.

Sub means under so Subsurface means the stratum or strata below the earth's surface.

Answer (with eloquence):

Mining is the process of extracting valuable minerals or other geological materials from the earth. It is done in several ways, among which surface and sub-surface mining are two primary methods. The key difference between these lies primarily in their spatial orientation and the depth of the materials being mined.

Surface mining, also known as open-pit mining, is a method where the overlying layers of soil and rock covering the mineral deposit, known as the 'overburden', are removed. This method is commonly employed when the desired mineral deposits are situated near the earth's surface or when the overburden is relatively thin and the minerals to be harvested are too large or too heavy to extract by sub-surface means. This approach offers the advantage of being cost-effective and efficient, particularly for minerals such as coal and iron ore. However, it also results in significant disruption and destruction of the surface environment, impacting ecosystems and often leading to notable landscape changes.

On the other hand, sub-surface mining, also known as underground mining, involves the extraction of minerals and geological materials from beneath the earth's surface. This technique is employed when the desired minerals are located at significant depths beneath the earth's surface, or when surface mining is not feasible due to environmental, economic, or safety reasons. In sub-surface mining, shafts, tunnels, or adits are constructed to reach the mineral deposits. While this method is less disruptive to the surface environment, it is typically more dangerous and expensive due to the risks of tunnel collapse, flooding, and the complexities of ventilation and lighting.

In summary, while surface and sub-surface mining both aim to extract valuable geological materials, their methods and implications vary greatly. The choice between them is contingent upon the type and location of mineral deposits, the economic viability, and the environmental impact. As a responsible society, it is paramount to consider these factors in our quest for valuable resources, bearing in mind the imperative of sustainable practices and minimal environmental degradation.

Your Welcome.

Explain how federalism might reduce tension within a country.

Answers

Federalism gives power which might reduce tension within a country.

i have to write an DBQ essay for ap world history and the question to base it off of is How did the Aztecs maintain their political and social power during the height of their empire? can you give me some tips or even just the thesis of the essay and I can go from there. A thesis is really all I need!

Answers

Answer:

The DBQ, or document-based-question, is a somewhat unusually-formatted timed essay on the AP History Exams: AP US History, AP European History, and AP World History. Because of its unfamiliarity, many students are at a loss as to how to even prepare, let alone how to write a successful DBQ essay on test day.

Never fear! I, the DBQ wizard and master, have a wealth of preparation strategies for you, as well as advice on how to cram everything you need to cover into your limited DBQ writing time on exam day. When you're done reading this guide, you'll know exactly how to write a DBQ.

For a general overview of the DBQ—what it is, its purpose, its format, etc.—see my article “What is a DBQ?”Explanation:

Select the transition that best clarifies the shift in time.

Karen was so excited. _________ she finally won her first tennis match.

After 2 years,
Around the corner,
In her first try,
Under the great oak tree,

Answers

The correct answer is After 2 years,

Answer: A

Explanation:

I know this is late and I'm sorry I didn't get to answer sooner, but here's the answer anyways! I'm not 100% sure so I hope you guys get it correct, let me know if you did or not! :)

hope it helped xx

-Alyssa ♡

If nominal gdp increased by 20 and inflation increased by 10 did the real gdp decrease or increase?

Answers

Yes, the real GDP would increase.

This is because the real GDP measures the total value of all goods and services produced in an economy, adjusted for inflation. Since the nominal GDP increased by 20 and inflation increased by 10, the real GDP would increase.

Gross Domestic Product (GDP) is a measure of the total value of all goods and services produced within a country during a specific time period, typically a year. It is considered to be one of the most important indicators of a country's economic performance, as it reflects the size of the economy and its growth rate over time.

GDP is calculated by adding together the value of all final goods and services produced within a country in a given year, regardless of the nationality of the producer. This includes goods and services produced by both domestic and foreign companies operating within the country's borders.

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HELP!! NOT MUCH TIME LEFT!!!
WILL MARK BRAINLIEST
Which career pathways are a part of the Manufacturing career cluster? Select all that apply.

Manufacturing Production Process Development
Production

Maintenance, Installation, and Repair

Legal Services

Logistics and Inventory Control

Quality Assurance

Business Financial

Management

Health, Safety, and
Environmental Assurance

Answers

Answer:

A

B

C

E

F

H

Are the correct answers.

Explanation:

If you look up, "what career pathways are in the manufacturing career cluster", there will be a list.

This is what it tells you:

The manufacturing cluster contains six career pathways: health, safety, and environmental assurance; logistics and inventory control; maintenance, installation and repair; manufacturing production process development; production; and quality assurance.

Therefore, A, B, C, E, F, and H are correct.

The career pathways that are part of the Manufacturing career cluster are First, second, sixth and last options.

What is career?

The career serves as an individual's metaphorical "journey" which could be attained by learning.

The Manufacturing career cluster encompass different production work as well as the finance and safety of the environment.

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How is the Constitution organized? What is the topic of each of the first three articles? Why did the Framers organize the articles in this way?

Answers

Answer:The framers organize the Constitution into three parts: the Preamble, the Articles, and the Amendments. Each part explains the meaning and laws of the Constitution. In Article I, the Constitution discusses the three branches of government: Legislative, Judicial and Executive. They wanted to make sure that power is distributed evenly and fairly. They wanted to make sure about having checks and balances. Overall, the Constitution serves as an outline for the government and a symbol of America's way of life.

The United States Constitution is organized into articles, with the first three articles focusing on different branches of government. Article I establishes the legislative branch (Congress), Article II establishes the executive branch (President), and Article III establishes the judicial branch (Supreme Court).

This organization reflects the framers' intention to create a system of separated powers and checks and balances.

The United States Constitution is organized into several sections and articles. Here is a breakdown of its organization and the topic of the first three articles:

Article I: The Legislative Branch

Article I establishes the legislative branch of the federal government, which consists of the Congress.

This article outlines the powers, composition, and responsibilities of the two houses of Congress: the House of Representatives and the Senate.

Article II: The Executive Branch

Article II establishes the executive branch, which is headed by the President of the United States.

This article defines the powers and responsibilities of the President, including their role as the Commander-in-Chief of the armed forces, the power to appoint federal officials, the ability to make treaties (with the advice and consent of the Senate), and the power to enforce laws.

Article III: The Judicial Branch

Article III establishes the judicial branch, which consists of the Supreme Court and other federal courts established by Congress.

This article outlines the jurisdiction and powers of the federal courts, including the authority to interpret laws and the Constitution, and it establishes the tenure and appointment process for federal judges.

The framers of the Constitution organized the articles in this way to establish the three separate branches of government (legislative, executive, and judicial) and to outline their respective powers and responsibilities.

This separation of powers was designed to prevent any one branch from becoming too powerful and to ensure a system of checks and balances, where each branch has the ability to limit the actions of the others.

The organization of the articles reflects the framers' intent to create a balanced and accountable system of government.

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Long time no see brainly well I asking do VLONE shirt on Amazon are they legit like is it real

Answers

lol haha probably not. Nothing on Amazon is real

The Dominican Republic has 10.7 million people and a national population growth rate of 1.5%
Paraguay has 6.8 million people and a national population growth rate of 1.5%. How will the difference
in their populations affect their doubling time?

Answers

Answer:

Basically, the larger the population, although the percentage of growth is similar, in nominal terms the number will be higher, which will widen the population gap between both countries.

Thus, as the years go by, the difference between the two countries will increase. For example, at 5 years, the population difference between the two countries will be the following:

D: 10.7 x 1.015 ^ 5 = 11.5

P: (6.8 x 1.015) ^ 5 = 7.3

It is clearly seen how one adds 800 thousand inhabitants while the other only adds 500 thousand. Therefore, a proportionally equal growth will lead to the Dominican Republic ending up doubling the population of Paraguay.

The fact that children appear to learn rules, rather than specific word combinations, when acquiring language skills argues most strongly AGAINST which theorist of language development?

Group of answer choices

Lera Boroditsky

Albert Ellis

Noam Chomsky

B.F. Skinner

Answers

When acquiring language skills argues most strongly against the theorist of language development known as B.F. Skinner. Thus, the correct option for this question is D.

What is Language development?

Language development may be defined as the process through which children acquire the ability to process speech and communicate. In this process, a child may gradually understand basic linguistic patterns and expand their vocabulary gradually before achieving fluency.

The behaviorist theory of language development is a model proposed by B. F. Skinner in 1985. This theory indicates the correlation between learning a language and verbal behavior. The behaviorist theory of language development is mainly associated with Skinner's assumptions which is a major exponent of this model.

Therefore, the correct option for this question is D.

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What is the relationship between real interest rates and net exports?

Answers

Answer:

When interest rates are cut, there is an increase both in spending on durables and net exports. Both channels lead to higher aggregate spending and thus higher output.

Explanation:


Which part of the executive branch is responsible for the smooth operation of the White House and the swift and accurate flow of business?

Answers

Answer: Chief of Staff

Explanation:

What is important to remember when highlighting a work of short fiction?

A. highlight very little

B. highlight based on your focus

C. highlight a lot

D. highlight your favorite passages

Answers

Answer:

highlight your favorite passages

how often the elction held ?

Answers

Answer:

the presidential election is held every 4 years

Explanation:

Which of the Following equations has a solution if -50

Answers

Answer:add the choices in

Explanation:

An object of mass m is moving in a straight line with velocity v and is slowing down from a force F = -kv where k is a constant. At time t = 0, the velocity is \(v_{0}\). How can I derive an equation for the object's velocity as a function of t?

An object of mass m is moving in a straight line with velocity v and is slowing down from a force F =

Answers

Answer:

The equation of the object's velocity in time is \(v(t) = v_{o}\cdot e^{-\frac{k\cdot t}{m} }\).

Explanation:

By Newton's Laws of Motion, the equation of motion that represents the deceleration of the object is described by:

\(\Sigma F = - k\cdot v = m\cdot \frac{dv}{dt}\) (1)

Where:

\(k\) - Damping constant, in newton-second per meter.

\(m\) - Mass, in kilograms.

\(v\) - Velocity, in meters per second.

\(\frac{dv}{dt}\) - Acceleration, in meters per square second.

Then, we modify (1) until the following ordinary differential equation with separable variables is found:

\(-\frac{k}{m} \int \, dt = \int {\frac{dv}{v} }\) (2)

Then, we integrate the equation and find the following solution:

\(-\frac{k}{m}\cdot (t-0) = \ln \frac{v}{v_{o}}\)

\(- \frac{k\cdot t}{m} = \ln \frac{v}{v_{o}}\)

Finally, we clear the velocity in the solution of the differential equation is:

\(v(t) = v_{o}\cdot e^{-\frac{k\cdot t}{m} }\)

The equation of the object's velocity in time is \(v(t) = v_{o}\cdot e^{-\frac{k\cdot t}{m} }\).

For a perfectly competitive firm in the short run, what is the lowest price the firm will continue to operate at?
A. Price equal to average variable cost B. Price equal to marginal revenue
C. Price equal to total cost
D. Price equal to average total cost
E. Price equal to marginal cost​

Answers

Your answer to the question is c

After Roberto learned that agricultural pesticides were hurting bee and butterfly populations, he started choosing more organic produce. He doesn't mind paying a little more because it’s worth it to him to save the insects. Which strategy for promoting sustainability most directly influenced Roberto’s choices?
Responses

infrastructure
infrastructure

regulations
regulations

education
education

incentives
incentives

Answers

Among the given options, the strategy for promoting sustainability that most directly influenced Roberto's choices is "education."

The strategy for promoting sustainability most directly influenced Roberto’s choices

Roberto's decision to choose more organic produce was driven by his awareness and knowledge about the negative impact of agricultural pesticides on bee and butterfly populations.

This indicates that he has been educated about the environmental concerns associated with pesticide use and the importance of supporting organic farming practices. By understanding the implications of his choices, Roberto made a conscious decision to prioritize sustainability and protect the insects, even if it meant paying a little more for organic produce.

Therefore, the education strategy, which focuses on raising awareness, providing information, and promoting understanding of environmental issues, played a crucial role in influencing Roberto's choices towards sustainability.

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Mrs. Rodriquez has 24 students in her class. Ten of the students are boys. Jeff claims that the ratio of boys to girls in this class must be 5:12. What is Jeff’s error and how can he correct it? Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls. The ratio would be 14:10 or 7:5.Jeff did not write the ratio in the correct order. He should have written it as 24:10.Jeff did not write the ratio in the correct order. He should have written it as 12:5.

Answers

Answer:

the answer is: A. Jeff found the ratio of the number of boys to the total number of students. He needed to first find that there are 14 girls to get a ratio of 10:14 or 5:7.

Explanation:

i got it right on a quiz i took and i looked up the question.

Answer:

a

Explanation:

How could a country’s citizens benefit from the federal government collecting more tax revenue? Conversely, how could they benefit from the federal government collecting less in taxes?

Answers

Answer:

A country's citizens can benefit from high taxes because the government will have more money to spend which can be used to better the country as a whole. A country's citizen can also be benifited from low taxes because the citizens will have more money which they can use to better themselves individally rather than as a nation.

Explanation:

A country's citizens benefit from the federal government collecting more tax revenue by the action that makes government spend these collected revenues for the betterment of the citizens of their nation collectively.

What is the significance of tax collection?

The process of collecting taxes and revenues is a fundamental way through which government generates some revenues in order to perform financial investment in human capital, infrastructure, provision of services, etc.

On contrary, the low tax rates support the citizens to pay less money to the government, and the rest of them are utilized for individual development rather than the collective development of the nation.

Therefore, how high tax rates and low tax rates support the citizens of the country in their development is well described above.

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what do this words/objects have in common:
pen
tissue box
jesus fish
valentines day decor
unicycle

Answers

Answer:

The commonality between the words/objects "pen," "tissue box," "Jesus fish," "Valentine's Day decor," and "unicycle" is that they are all physical objects that can be used or observed in everyday life. Beyond that, there may not be any significant or direct connection or commonality between them.

Answer:

all physical objects that can be used or observed in everyday life

Explanation:

We are created with the ability to analyze, classify, number, and enjoy God’s Creation.
True
False

Exponents demonstrate man’s ability to live without God.
True
False

The use of numbers points us to

the chaos in the universe.

man’s ability to create order out of chaos

the orderly nature of God

the goal of this course


.
Simplify 4.510. (4 points)

4.51
1
0
–1

Answers

Answer:

We are created with the ability to analyze, classify, number, and enjoy God's creation. True

Exponents demonstrate man's ability to live without God. False

Simplify 4.510 = 1

Explanation:

The complete set of cases from which samples may be drawn is called a(n) A.control condition. B.independent variable. C.case study. D.population. E.survey.

Answers

Answer:

D. Population

Explanation:

Hope this helps lol.

The complete set of cases from which samples may be drawn is called as population. Thus option D is correct.

what is population ?

A population can be defined as complete group of individuals which  comprises a nation or a group of individuals having common characteristic features.

It is a pool of  individuals from which the statistical sample is drawn for a study purpose, so the election of individuals grouped by a common feature which can be called as population.

For, a statistical analysis of a sample of a population must report a standard deviation, or standard error,  so that the results from the entire population can be determined properly.

Thus option D is correct.

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Bindi is taking dual enrollment courses. How might this benefit her when she goes to college?

It will show the college her time management and leadership skills.
She will have college credits before she starts her first semester.
She will be prepared to pass the same courses again in her first semester.

Answers

Answer:

She will have college credits before she starts her first semester

Explanation:

When you take dual enrollment, you take college classes in high school, so that you have less classes to take when you actually go to college.

Hope this helps! Have an amazing day :)

Answer:

B

Explanation:

Heterogeneous student are found in ........​

Answers

Heterogeneous grouping is a distribution tactic in the classroom, whereby diverse students (for example, students that have learning disabilities and students who are gifted) are placed in different classrooms so that they can apply their skills and abilities more evenly through their cohort.

Hope this helps :))

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