How many solutions are there to the equation \[ |x| = -\dfrac 1 2 x + 4?\]

Answers

Answer 1

Answer:

-1

Explanation:

We have been given an equation . We are asked to find the solutions of our given equation.First of all, we will cross multiply our given equation as:Subtract  from both sides:Now we will factor out .Now we will factor by splitting the middle term. Now we will use zero product property and solve for x as:Now, we will check for extraneous solutions.We can see that  will make both denominators zero because our function is not defined at  .Therefore, the solution for our given equation is .

Answer 2

The solutions are there to the equation \[ |x| = -\dfrac 1 2 x + 4 = -1.

We have been given an equation. We are asked to find the solutions of our given equation.First of all, we will cross multiply our given equation as:Subtract  from both sides:Now we will factor out .Now we will factor by splitting the middle term.

Now we will use zero product property and solve for x as:Now, we will check for extraneous solutions.We can see that  will make both denominators zero because our function is not defined at  .Therefore, the solution for our given equation.

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Related Questions

When the speaker in "any human to another" says that "sorrow never scorned to speak / to any who / were false or true," he means that __________

Answers

The speaker means that; sorrow comes to every human being

The poem " any human to another"

In the poem " any human to another" the summary of the poem is that every human have undergone one form of suffering and this unites every human on earth. therefore what the speaker says  means that sorrow comes to every human being.

Hence we can conclude that The speaker means that sorrow comes to every human being

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Answer:

sorrow comes to every human being

Explanation:

The domain incorporates cultural norms that directly impact sustainable development. The domain focuses on the protection and preservation of natural and artificial resources

Answers

Answer:

The economic domain incorporates cultural norms that directly impact sustainable development. The environmental domain   focuses on the protection and preservation of natural and artificial resources

Explanation:

Match the words to the correct descriptions.

Have different properties depending on the number of protons.

The atoms take on new properties when they bond together or are separated.

The ingredients maintain their properties when they are placed together or taken apart.

1. Compounds

2. Mixtures

3. Atoms

Answers

Answer: 3, 2, 1

Explanation: i was a B student in chemistry and we learned this first hand.

Jerry visits casinos two weekends every year. While there, he usually loses several thousand dollars gambling. Between casino visits, he neither gambles nor thinks much about gambling. Which statement is the most accurate assessment of this behavior?

Answers

The statement that is most accurate assessment of Jerry's behavior is: This behavior is not a gambling disorder.

What is Gambling Disorder?

Gambling disorder, also known as pathological gambling, can be described as a disorder which involves repeated gambling behavior that interferes with one's day to day life leading to problems for the individual, their families and the society.

From the information given about Jerry, it even though he loses money gambling, it doesn't interfere with his daily activities or normal life.

Therefore, the statement that is most accurate assessment of Jerry's behavior is: This behavior is not a gambling disorder.

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The history of chocolate began over three and a half thousand years ago

Answers

Answer:

True

Explanation:

It was also used for money to i think

When a cat drops from a tree to the ground, the conversion of takes place. Then cat runs up behind a mouse to obtain its food. After eating its prey, the conversion of takes place inside the cat’s body

Answers

When a cat drops from a tree to the ground the conversion of gravitational potential energy to Kinetic energy takes place.

After eating its prey the conversion of Chemical to mechanical energy takes place.

Energy conversion

Energy is neither created nor destroyed rather it is transformed/converted from one form to another. when the cat is at rest on the tree it possesses a potential energy but at it falls to the ground the potential energy is converted to a kinetic energy. Also

As the cat consumes the rat the energy absorbed from the consumption of the rat is converted to mechanical energy which enables the mobility of the rat.

Hence we can conclude that the conversion of energy is as listed above.

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Answer:

When a cat drops from a tree to the ground, the conversion of gravitational potential energy to kinetic energy takes place. Then cat runs up behind a mouse to obtain its food. After eating its prey, the conversion of chemical energy to mechanical energy takes place inside the cat’s body.

Hope this helps!

Explanation:

A type of longitudinal wave where the particles are spread apart

Answers

Answer:

rarefaction a type of wave where the particles are spread apart

Dwayne uses 2 quarts of milk in 1 week. What is the total number of cups in 2 quarts?

Answers

Answer:

2 qrts=8 cups

Explanation:

The scientific method is a process used by scientists to solve problems that can be tested. Describe how a scientist can create a good hypothesis for her experiment. Include where the information comes from, what a hypothesis is, and how it should be written.​

Answers

Answer:

هذه معادلة قوية جدا وبسيطة

Explanation:

هذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطةهذه معادلة قوية جدا وبسيطة

Two right angled triangles are joined together to make a larger triangle acd

Answers

The perimeter of triangle ACD that is formed by two right-angle triangles ACB and DCB, approximated to 1 decimal place is: 40.1 cm.

All of the following can make it difficult to calculate an action’s utility except

Answers

Answer:

The commitment of the person taking the action.

Explanation:

In a population of bats living in a certain region

Answers

… you were saying you kinda just stopped

Why is the sediment’s permeability an important factor in deciding where to put your well?

Answers

Answer:

The importance of the sediments permeability is that if it is permeable, water will flow easily through the sediment and thereby produce a very good supply of water for the well.

How does cinna's request to get brutus involved affect cassius? select two options. Cinna's request makes cassius reconsider including brutus. Cinna's request makes cassius ask him to take an incriminating letter to brutus. Cinna's request makes cassius trust him to return to pompey's theatre and meet cassius there. Cinna's request makes cassius seek out new and more loyal consipirators. Cinna's request makes cassius weigh the events of the night and postpone his planned meeting

Answers

The two ways that cinna's request to get brutus involved affect cassius are;

B. Cinna's request makes Cassius ask him to take an incriminating letter to Brutus.C. Cinna's request makes Cassius trust him to return to Pompey's Theatre and meet Cassius there.

What are the lessons from a passage?

From the given passage, when Cinna says he wanted Brutus to join them, it propelled Cassius to ask Cinna to deliver a letter to Brutus. Now, this was very obvious when Cassius said "Be you content. Good Cinna, take this paper and look you lay it in the praetor’s chair, where Brutus may but find it. And throw this in at his window. Set this up with wax upon old Brutus’ statue."

Looking at the given options, and comparing with the summary above we can say that options B and C are correct

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Answer:

B & C

Explanation:

i did it :T

Although the assassination of franz ferdinand was a local political action, its consequences were:

Answers

Answer:

global

Explanation:

the assassination of Franz Ferdinand was one of the main causes of the war, and the war involved a large portion of the world and I just got it right on the quiz.

Sara finds that one of her old metal frying pans has a hole in it from rust. Which type of frying pan should she replace it with?(1 point)

Answers

Based on the above case, Sara should use a pan that is made out of a different kind of metal that will not rust such as the one made from polymers.

What is the best metal for a frying pan?

Stainless steel is know to be one of the best and general purpose frying pan material.

But the fact remains that stainless steel on its own is not a good conductor of heat and as such, to avoid rust one can use a pan that is made out of a different kind of metal that will not rust such as the one made from polymers.

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Which prediction about the plot does this passage most support? cassius will die. Rome will be destroyed. Brutus will kill caesar for the good of rome. Brutus will choose life before honor

Answers

The prediction about the plot does this passage most support is that Brutus will kill Caesar for the good of Rome.

What is the above phrase about?

The phrase of Brutus will kill Caesar for the good of Rome is known to be one that connote the fact that Brutus did claimed that the reason why he  was killing Caesar is for the people and the good of Rome.

Brutus see Caesar as he was gradually turning into a tyrannical ruler, and this will bring a lot of harm to Rome and thus he wanted to kill him before he turn evil.

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Answer:

Brutus will kill Caesar for the good of Rome.

Explanation:

Charlie earns an annual salary of $61,870. If he is paid weekly, how much would his gross pay be each week?

Answers

In a year, there are total 52 weeks usually, so annual salary is weekly salary times 52. Charles' weekly pay is given by: Option d: $1,189.81

How to count the number of ways in a year?

A year contains approx 365 days usually (leaving leap years)

A week contains 7 days.

Dividing 365 in group of 7s, we get:

(1 as remainder, 52 as quotient), so one day is left only) (this is not always the case that there would be 52 weeks only, there can be sometimes 51 weeks due to some incomplete weeks).

(for general case, we will assume there are 52 weeks in an year).

For the considered case, it is specified that:

Annual salary of Charles = $61,870

There are 52 weeks in an year, so, dividing his salary in 52 parts, we get his weekly salary as:

Thus,  Charles' weekly pay is given by: Option d: $1,189.81

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:)

The five components of health-related fitness include __________.
A.
cardiovascular fitness, muscle tone, muscular endurance, flexibility, and body composition
B.
cardiorespiratory fitness, muscular strength, resting heart rate, muscular endurance, and body composition
C.
cardiorespiratory fitness, muscular strength, muscular endurance, flexibility, and body composition
D.
calisthenics, muscular strength, muscular endurance, flexibility, and body composition



Please select the best answer from the choices provided.


A
B
C
D

Answers

the answer would be C

Answer:

C

Explanation:

A spring gun shoots out a plastic ball at speed v0. The spring is then compressed twice the distance it was on the first shot

Answers

Based on the compression of the spring and the speed, the following are true:

The factor by which the spring's potential energy is increased is = 4.The factor of increase in speed = 2.

What is the factor of increase in potential energy?

Potential energy is found as:

= 0.5k x (2 x compression²)

= 4 x 1/2kx²

The 4 shows that the potential energy increases by 4 times.

What is the factor of increase in speed?

Initial speed is:

= x × √(k/m)

New speed will be:

= Compression factor x speed

= 2x × √(k/m)

The speed will therefore be increased by a factor of 2.

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A cylinder has a volume of 78 cubic cm. What is the volume of a cone with the same radius and height?

Answers

Answer:

Volume of cylinder V= bh= 78 cm^3, where b is area of base(circle). Then volume of cone = 1/3bh =1/3*78 = 26 cm^3

This theory of emotion suggests that first a specific physiological response to stimuli is experienced, and the emotion that results is an interpretation of this unique physiological "code"

Answers

James–Lange theory is a physiological theory of emotion that explains that emotions are created in response to experiences and stimuli, where the autonomic nervous system creates physiological responses.

What is James–Lange theory?

It is a theory proposed independently by William James and Carl Lange, which suggests that emotions occur as a consequence of physiological reactions to events.

For this theory, emotions are processes that involve a series of triggering conditions or relevant stimuli.

Therefore, we can conclude that the James–Lange theory explains the origin of the components of emotion and where physiological activation plays an important role in the existence of an emotional response.

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It takes 12. 5 ml of a 0. 30 m hcl solution to neutralize 285 ml of naoh solution. What is the concentration of the naoh solution?

Answers

Answer:  M₂ = 0

Explanation:

HCl + NaOH — NaCl + H2O

For acid base titrations:

M₁ V₁ = M₂ V₂

where lower-script 1 and 2 are the molarity and volume for acid and base respectively.

M₁ = 0.30 M

V₁ = 12.5 ml

M₂ =  (unknown)

V₂ = 285


0.30 x 12.5 = 285 M₂

M₂ = 3.8/ 285

M₂ = 0


p.s  I think there is an error with the typed question. It’s not possible to use 285 ml of base against 12.5 ml of acid.

What are the signs of high inflation? check all that apply

Answers

Answer:

The Federal Reserve is Buying 70% of U.S. Treasuries.

) The Private Sector Has Stopped Purchasing U.S. Treasuries.

China Moving Away from U.S. Dollar as Reserve Currency.

Japan to Begin Dumping U.S. Treasuries

The Fed Funds Rate Remains Near Zero.

Year-Over-Year CPI Growth Has Increased 92% in Three Months

Mainstream Media Denying Fed's Target Passed.

Record U.S. Budget Deficit in February of $222.5 Billion

High Budget Deficit as Percentage of Expenditures

Obama Lies About Foreign Policy.

Obama Changes Definition of Balanced Budget

U.S. Faces Largest Ever Interest Payment Increases.

Explanation:

1.public policy begins with . 2.then, government officials . 3.finally, a government agency .

Answers

Answer:

1.Public policy begins with identifying an issue.

2. Then, government officials form a solution.

3. Finally, a government agency implements the solution.

Explanation:

Public policy begins with identifying an issue. Then, government officials form a solution. and  Finally, a government agency implements the solution.

What is Public policy?

Governmental bodies create laws, set policies, and distribute funds in every society. A system of rules, regulations, courses of action, and financial priorities involving a specific subject that have been established by a governmental body or its representatives is known as public policy.

People and organizations frequently make an effort to influence public policy through advocacy, education, or the mobilization of interest groups.

In Western-style democracies, public policy is clearly shaped differently from how it is in other systems of government. But it is logical to suppose that competing interest groups would always make an effort to sway policymakers in their direction.

Therefore, Public policy begins with identifying an issue. Then, government officials form a solution. and  Finally, a government agency implements the solution.

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Which similarity postulate or theorem correctly identifies the triangles’ relationship?

Answers

The similarity theorem that identifies the given relationship correctly is:

B). AABC - ADEF by SAS Similarity Theorem

What is SAS Similarity postulate?

The SAS similarity Theorem states that in the situation where the ratio shared by the sides of two triangles remains the same and one of their angles stays equal, both the triangles would be similar.

In the given two triangles, ΔABC and ΔDEF we see that;

the ratio of the sides are:

BC/AB = EF/DE

5/15 = 4/12 = 1/3

and,

∠B = ∠E = 86°

Since the ratios shared by the two sides are equal in both the given triangles and one angle is equal, the triangles are the same.

Thus,

ΔABC is similar to ΔDEF

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what SAT score do you need to enter (please answer the following)
engineering school and med school?

Answers

At least a 700 on SAT Math or a 30 on ACT math to get into engineering school; at least a 1,400 on the SAT and above a 33 on the ACT for Medical School

How many moles of no are required to completely react with 2. 45 mol nh3

Answers

Answer:

3.68 moles of NO (to 3 sig figs).

Explanation:

Sana nakatulong

What is the value of the expression 26. 95 divided by -5 1/2

Answers

Answer:

I'm not sure if this is right, but I got -4.9

Explanation:

hope it helps

The process that produces micho bars (a type of milk cholate candy) is intended to produce bars with a mean weight of 56 gm. The process standard deviation is known to be 0. 77 gm. A random sample of 49 candy bars yields a mean weight of 55. 82 gm

Answers

Answer:

The process that produces Sonora Bars (a type of candy) is intended to produce bars with a mean wight of 56 gm. The process population standard deviation is known to be 0.77 gm A random sample of 49 candy bars yields a mean wight of 55.82 gm.

Explanation:

Which are the hypotheses to test whether the mean is smaller than it is supposed to be? a. H_0: mu lessthanorequalto 56, H_A: > 56 b. H_0: mu greaterthanorequalto 56, H_A: < 56 c. H_0: mu = 56, H_A: mu notequalto 56 d. H_0:mu <56, H_A:mu greaterthanorequalto 56 In a left (one - tailed) test, a statistician got a z test statistic of -1.720. What is the p - value? a. 0.4292 c. 0.0709 b. 0.0427 d. 0.0301 Alpha (alpha) is a. equal to the probability of committing a Type 1 error. b. called the test's significance level. c. the probability of rejecting H_0 when it is really true. d. All the above are true. Given the following information, if the hypothesis test is conducted at the 1% level of significance, the null hypothesis should n = 16 x = 73 s = 8.246 H_0:mu greaterthanorequalto 80 H_A:mu < 80 a. not be rejected b. be rejected c Not enough information is given to answer this question. d None of these alternatives is correct

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