8-6 skills practice solving rational equations and inequalities

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Answer 1

There are different kinds of rational equations and inequalities. An example is:

In order to simplify a rational number or rational expression, ----- the numerator and -------  and divide both of them by their -------

What are rational equations?

A rational equation is known to be  a type of equation that has at least one fraction that the numerator and denominator are said to be polynomials.

The answer is In order to simplify a rational number or rational expression, Factor the numerator and denominator  and divide both of them by their greatest common factor.

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Related Questions

A college student earns $ 15 , 000 working part time at a bookstore. the student pays 1 10 of the earnings in taxes, spends 2 5 of the earnings on living expenses, and saves the remainder of the earnings. how much money does the student save?

Answers

The amount she will have left having been working as a part time at a bookstore $14,865

What is savings?

Savings is the amount left after deducting expenses spent. it is the money set aside for future use and not spent immediately.

Given that:

Total amount earned by the student

= $15000

Earning paid off in taxes

= $110

Amount spent on living expenses

= $25

Amount she will have left

= $15000 - ($110 + $25)

= $15,000 - $135

= $14,865

Hence the amount she will have left is $14,865

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Suppose a man is heterozygous for heterochromia, an autosomal dominant disorder which causes two different‑colored eyes in an individual, produced 25‑offspring with his normal‑eyed wife. of their children, 15 were heterochromatic and 10 were‑normal. calculate the chi‑square value for this observation.

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The chi‑square value for this observation is 1.96

What is Chi-square?

This is known to be a form of  statistical test that is employed so as to investigate the differences that exist between categorical variables taken from a random sample.

It is used to construct or to  judge goodness of fit that exist between expected and observed results.

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What is the first step in the talk method of conflict resolution?

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Answer:

Communication is the first step.

Explanation:

In addition to deep sea organisms, there are many species found throughout the ocean. the numbers and relative proportions of bacteria and archaea change with depth in response to changing conditions. viruses that infect the prokaryotic organisms play a variety of important roles in this habitat, including control of their overall numbers and facilitation of horizontal gene transfer. choose whether each statement best describes bacteria, archaea, or viruses.

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The statements are not found in the question but it is important to highlight that viruses are not living forms and bacteria and archaea are prokaryotic organisms.

What are prokaryotic organisms?

Prokaryotic organisms such as bacteria and Archaea are simpler forms of life that lack a cell nucleus and membrane-bound organelles.

Viruses are not living things because they need a suitable host to survive (i.e., viruses are replicative entities).

Some characteristics of Archaea include:  

Most Archaea that live below 1000 m are ammonia oxidizers.They increase to 50% of prokaryotes below 1000 m.The major phylum below 1000 m is Thaumarchaeota.

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Hugo plans to buy packs of baseball cards until he gets the card of his favorite player, but he only has enough money to buy at most 444 packs. suppose that each pack has probability 0.20.20, point, 2 of containing the card hugo is hoping for. let the random variable xxx be the number of packs of cards hugo buys. here is the probability distribution for xxx:

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Considering the given discrete probability distribution, it is found that there is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.

What is the discrete probability distribution?

Researching on the internet, it is found that the discrete probability distribution for the number of packs that Hugo buys is given by:

P(X = 1) = 0.2.P(X = 2) = 0.16.P(X = 3) = 0.128.P(X = 4) = 0.512.

The probability that he buys fewer than 3 packs is given by:

P(X < 3) = P(X = 1) + P(X = 2).

Hence:

P(X < 3) = P(X = 1) + P(X = 2) = 0.2 + 0.16 = 0.36.

There is a 0.36 = 36% probability that Hugo buys fewer than 3 packs.

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Answer:

0.64

Explanation:

Rebello's preferred stock pays a dividend of $1.00 per quarter, and it sells for $55.00 per share. what is its effective annual (not nominal) rate of return?

Answers

Assuming it sells for $55.00 per share. Its effective annual (not nominal) rate of return is 7.47%.

Effective annual rate of return

Using this formula

Effective annual rate of return=[1+(Preferred quarterly dividend+Preferred stock price]^Periods per year-1

Where:

Periods per year =4

Preferred quarterly dividend=$1.00

Preferred stock price=$55.00

Let plug in the formula

Effective annual rate of return = [1+ ($1.00/$55.00)]^4 - 1

Effective annual rate of return=(1+0.018181818)^4-1

Effective annual rate of return=(1.018181818)^4-1

Effective annual rate of return =1.0747-1

Effective annual rate of return =0.0747×100

Effective annual rate of return = 7.47%

Therefore the Effective annual rate of return will be 7.47%.

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Frozen water is less dense than liquid water, allowing lake organisms to survive winter. true false

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False, frozen water is denser than liquid water and does not allow lake organisms to survive water.

Density of Frozen water and Liquid water

By definition, density is the mass per unit volume of a substance, a property which is characteristic to each substance.

By convention, solid state of a substance are said to be denser than liquid state of the same substance. Hence, it follows that frozen water is denser than liquid water and does not allow lake organisms to survive.

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Answer:

True

Explanation:

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How can 100. ml of sodium hydroxide solution with a ph of 13.00 be converted to a sodium hydroxide solution with a ph of 12.00 ?

Answers

The solution can be evaporated such that only 10mL of the solution remains in that way, we can have a solution of pH 12.00.

What is pH?

The pH refers to the degree of acidity or alkalinity of solution. We can obtain the concentration of each solution from the pH as follows;

At pH = 13;

[OH^-] = Antilog (-13) = 1 * 10^-13 M

At pH 12

[OH^-] = Antilog (-12) = 1 * 10^-12 M

Using the formula;

C1V1 =C2V2

1 * 10^-13 M * 100 mL = 1 * 10^-12 M * VmL

VmL = 1 * 10^-13 M * 100 mL/1 * 10^-12 M

VmL = 10mL

The solution can be evaporated such that only 10mL of the solution remains in that way, we can have a solution of pH 12.00.

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Which condition feeds a tropical storm as it develops into a hurricane?

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Answer:

heat and moisture

Explanation:

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Which of these is not a form of electromagnetic radiation?

Answers

Answer:

where are the options without options how do i answer sorry

A college degree is associated with a higher income on average, so it makes sense to look at educational attainment when thinking about gender wage inequality. as your textbook notes, women’s college enrollment

Answers

Women’s college enrollment was has always been higher than men's, with the exception of the 1920s.

What is the reason of  women's college?

The reason of women's colleges was so that women, who have not been allowed to go to colleges and universities back in the 1800s were then given an opportunity.

Women are known to have access to high-quality post secondary education in this modern day than when compared to the 1800s.

See full question below

A college degree is associated with a higher income on average, so it makes sense to look at educational attainment when thinking about gender wage inequality. Women's college enrollment:______a. has always been higher than men's, with the exception of the 1920s. b. was lower than men's in the 1970s, but has been higher than men's since the 1980s. c. has been just about the same as men's since the 1960s. d. was lower than men's in the 1950s, but has been the same as men's since the 1970s.

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Why should Christians fight against spread of devil worship in the society​

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Christians fight against spread of devil worship​ because they believed the devil is the one who makes people to do bad/evil thing and when he is worshipped, the devil will have more power to oppress and control people.

What is devil worship?

Theistic Satanism is known to be a Religious belief that is often called religious Satanism, spiritual Satanism, etc.

It is known as the body of people or groups that sees Satan to be an their god and as such the bible states that the work of Satan is to do evil and separate man from God. Christians are against the worship of a being who leads others to eternal doom and to do evil.

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According to roosevelt, what was the true goal of the new deal? to rebuild the us to restore us values to remind people of the us how to work

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According to Franklin Delano Roosevelt, the true goal of the New Deal is: B. to restore US (American) values.

Who is Roosevelt?

Franklin Delano Roosevelt was an American politician and statesman who was elected to serve as the 32nd President of the United States of America in 1933. Also, he was born on the 30th of January, 1882 in Hyde Park, New York, United States of America.

What is the New Deal?

The New Deal was a collection of government reform programs that were established by President Franklin Delano Roosevelt between 1933 and 1939 in the United States of America so as achieve the following:

Boost the economy.Guard against economic disasters.Provide employment opportunities for the people.

In conclusion, we can deduce that in accordance with Franklin Delano Roosevelt, the true goal of the New Deal is to restore US (American) values.

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Answer:

B. to restore US values

Explanation:

Edge 2022

Find out where cancún, guadalajara, and oaxaca are located in mexico and describe one interesting attraction you can find at each one.

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The location and interesting attractions of the different cities of cancún, guadalajara, and oaxaca are; Described in the answer below

Where is the location of some cities?Cancun: It is a city located in the southeastern part of Mexico, in the state of Quintana Roo, in the Yucatan peninsula and one of the most famous destinations in Mexico. One thing that you can see here is the Mayan ruins known as "El Rey."

Guadalajara: This city is located in western Mexico and is the capital of the state of Jalisco. One of the most important touristic attractions of this city is the Hospicio Cabañas.

Oaxaca: This city is located in the state of Oaxaca at the Centro District in the Central Valleys region of the state, on the foothills of the Sierra Madre. One of the most important attractions of Oaxaca is the festival of the "Guelaguetza."

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Math accelerated chapter 8 equations and inequalities answer key

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In  math equations and inequalities, they are said to be both mathematical sentences that is created to link two expressions such as the use of symbol  >, <, ≤ or ≥. when two items are in a state of inequality.

What is equation and inequality?

An equation is known to be a type of mathematical statement that depicts the equal state of two expressions. It is often depicted with the symbol = which shows equality.

While an inequality is known to be a mathematical statement that shows that two given expression is said to lesser than or more than one another.

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Using specific details from the lesson and the assignment: write a short paragraph comparing the us point of view and castro’s point of view on the events surrounding the cuban revolution

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Answer:

According to Castro, the territory of Latin America is suffering from countries like the United States using their imperialistic powers. According to Castro, countries such as the United States take advantage of Latin American countries. Kennedy and other US leaders believe that Castro has created a dictatorship. The people of Cuba are suffering because Castro and communism oppress people politically and economically.

Explanation:

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If two organisms have similar traits of dna they are probably

Answers

Answer:

they probably share a common ancestor

correctly label the following components of the kidney.

Answers

The correct labelling of the components of the kidney is;

From left top:

Renal artery and veinHilumKidneyFibrous capsulePerirenal fat capsule

Right:

UreterRenal fascia

What is a kidney?

This is an organ in the body that filters the blood and produces urine.

The Functions Of The KidneysTo Extract Waste From Blood, To balance Body Fluids, To form UrineTo aid In Other Important Functions Of The Body

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The idea that a dollar received in the future has less value than a dollar received today because a dollar received today can earn interest over time is called

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The interest received on a dollar invested over time is called Return on Investment (ROI

Return on Investment

It should be noted that if the dollar received today is not put into good investment it might as well be the same as the dollar received in future.

Money losses value overtime  hence in other for money to have values it should be invest carefully and wisely.

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Read this passage from when birds get flu and cows go mad! by john diconsiglio. Hughes was assigned to find infected cow parts at meat processing plants in washington. He remembers the sad look on some owners’ faces when he flashed his badge. If there was a chance that any of their meat might have mad cow, they’d have to throw it all away. "the business they built from scratch was destroyed—through no fault of their own. And there was nothing they could do about it," hughes says. The tone in this passage most suggests that hughes is caring. Dedicated. Tense. Focused

Answers

The tone of the author in this passage from "When the birds get flu" can be described as caring.

What is the tone?

This refers to the general attitude of the author in a text when referring to the subject or topic the author describes. For example, a text about the pandemic might have a pessimistic or optimistic tone.

What is the tone in the excerpt?

This excerpt shows a rather caring tone, this is because the author seems to worry about the negative impact of the mad cow disease on farmers. This can be seen in excerpts such as:

"the sad look on some owners’ faces""the business they built from scratch was destroyed

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Answer:

a - caring

Explanation:

When describing electromagnetic radiation, there is a(n) _____________ relationship between wavelength and frequency and the greater the frequency, the ____________ energy the electromagnetic radiation has

Answers

Answer:

an should be there isn't it

Nonverbal communication such as posture, gestures, expressions, and eye
movement are all examples of:
A. body language.
B. opposing signals.
Ο Ο Ο Ο
C. presentation cues.
D. supporting signals.

Answers

There are all examples of: A. body language.

A train leaves boston and travels toward its destination

Answers

Answer:

i think it is 4mph

Explanation:

18.1 multiplying polynomial expressions by monomials

Answers

The  act of Multiplying a polynomial by a monomial is an easy one. An example of this is given as Multiply x – y – z by -8x².

What are Polynomial Expressions?

Polynomials are regarded as the sums of specific terms of a given form k⋅xⁿ. Here, the k stand for any number and n stand for a positive integer.

To Multiply x – y – z by -8x².

One has to first Multiply each term of the polynomial x – y – z by making use of the monomial -8x².

⟹ -8x² * (x – y – z)

= (-8x² * x) – (-8x² * y) – (-8x² *  z)

Note that the * sign connote multiplication.

The next step is to add the like terms together;

The answer therefore is = -8x³ + 8x²y + 8x²z

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how many feet will it take you to stop from 60 mph

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It will take 88 feet for you to stop from 60 mph

excel ran out of resources while attempting to calculate

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Re: Excel ran out of resources while attempting to calculate one or more formulas

Your used range includes a lot of empty cells. If you hit Ctrl+End it will take you to the last cell in the used range and you can see ...

You have a lot of empty formatted cells (colored), but should be corrected when you reset the used range.

You have this formula on the Project Cost Tracking worksheet, cell CE1:

How many revolutions does the smaller gear complete during a single revolution of the larger gear?

Answers

Answer:

As the small gear rolls along the circumference of the large gear, the shaft of the small gear completes 30/15 = 2 rotations for every 1 rotation of the large gear shaft. This is called a gear reduction of 1:2. I hope this helps.

A) how can cells from a single plant have different characteristics?

Answers

The plant cell wall is a specialized form of extracellular matrix that surrounds every Plant cells can be distinguished from most other cells by the presence of chloroplasts, which are also found in certain algae.

How does housman use the structure of the poem to create surprise?

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The poet offers an elegy for a young, athletic man who recently passed away in "To an Athlete Dying Young." Naturally, this is a tragic subject, and the poet begins his poem with a sorrowful and solemn tone of pity. The author, on the other hand, uses the poem's structure to surprise his audience. Despite the melancholy tone of the opening line, the tone of the poem shifts to one of satisfaction and praise as the poem goes on, surprising the reader. The author can express various opposing views in each stanza. While he feels that dying young is a pity, he considers how rapidly youth fades and how many men lose their reputation by the time they reach retirement age. He says that if an athlete dies young, he will never have to deal with old age, decline, or loss of glory. Despite the melancholy, the author can draw some constructive conclusions from the incident

Wen is factoring the polynomial, which has four terms. 6x3 – 12x2 + 7x – 14 6x2 (x – 2) + 7(x – 2) which is the completely factored form of his polynomial? (6x2 + 7) (x –2) (6x2 – 2) (x +7) (6x2 + 2) (x – 7) (6x2 – 7) (x + 2)

Answers

The completely factored form of his polynomial 6x³ - 12x² + 7x - 14 Wen factored is (x-2) ( 6x² + 7)

How to factorise a polynomial

6x³ - 12x² + 7x - 14

= 6x² (x - 2) + 7(x - 2)

Factor out the term (x-2) form each term

6x²(x – 2) + 7(x – 2)

= (x-2) ( 6x² + 7)

Therefore, the completely factored form of his polynomial is (x-2) ( 6x² + 7)

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Answer:

Answer  is A

Explanation:

Other Questions
Which is correct for possessive noun: this months' or this month's Brian is the coach of the High School basketball team in Scooterville. His starting five players (Jason, Mike, Jim, Dave, and Frank) all vary in their speed, height, and shooting ability. Use the following information to answer the question(s). - Mike and Jim are quicker and better shooters than Jason and Dave. - No person is the best (e. G. , tallest, quickest, best shooter) at more than one category. - One person was the worst (eg, shortest, slowest, and worst shooter) for all three categories - Jason is the third tallest. - Frank is the best shooter - Jim is the second fastest. - Jim is a better shooter than Mike. Which player is the tallest? The base of the sailboat is 9ft and the height is 15 what is the area?? What are the strengths and weakness of gel electrophoresis ? In line 447, the chorus uses a smiles or a comparison of two seemingly unlike things saying that the man who killed Laius must fly like the winds swift steeds reread lines 445-451 what does the comparison means the murderer should do? Why? The sum of two integers is 72 and their difference is 8. Find the integers Which of the following statements about the art of the Pacific Islands is false?A.Traditional religions forbid the making of religious art.B.Carving is a specialized art form that is practiced in the Pacific Islands.C.Featherwork is an art form of the Pacific Islands.D.Shells are used for artwork. Experiencing: Imagine yourself as Elisa, from "The Chrysanthemums," and write an essay describing what your life is like 10 years after this story takes place.Interpreting: At the end of "The Chrysanthemums, "Elisa whispers, "That's a bright direction, There's a glowing there." Write an essay explaining what you thinkElisa means by those words. Support your explanation using references from the story.Evaluating: Elisa's character, in "The Chrysanthemums," expresses a universal longing to reach beyond our circumstances to be more and do more. Find acharacter in another story from this unit that shares Elisa's longing. For each character, explain how the author conveys this universal longing and makes thereader empathize with the character. How are the two characters similar and different? With which character do you feel the strongest empathy, and why?Select the link to access the English Essay Rubric. what is the range of the exponential function y=2^x plus 2?A. Y what was the other steps taken by Roosevelt during the first 100 days of his administration Math homework pls help!!!!! The perimeter of sophia's garden is 42 m the garden is 6 m wide what is the length of the garden How do human population growth trends differ between developed nations and developing nations? If a family of three splits a 33.66 bill evenly how much will each family member owe Please help me :( :( A group of graduate students, bored during a cloudy night at the observatory, begin to make bets about the time different stars will take to evolve. If they have a cluster of stars which were all born at roughly the same time, and want to know which star will become a red giant first, which of the following stars should they bet on?A) a star of about the same mass as our SunB) a star that would type O on the main sequence starC) a star of about 1/2 the mass of our SunD) a star of about 8% the mass of our SunE) you can't fool me, all stars reach the red giant stage in roughly the same number of years who should be making the economical decisions during industrial revolution? What is the area and perimeter? Show your work What can the image tell you about the artist (photographer, painter, sculptor, etc.)? What do you see that makes you say that?Water LiliesBy Claude Monet There is a proportional relationship between the revenue (in dollars), y,and the number of whistles Glados sells, x. She sells 98 whistles for$980.Graph this proportional relationship.