8-6 skills practice solving rational equations and inequalities

Answers

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

copper atoms and zinc atoms have the same atomic radius, 135 picometers. based on this information, which of the following diagrams best represents an alloy containing only copper and zinc atoms?

Answers

Since copper and zinc atoms have the same atomic radius,  an alloy of copper and Zinc will have the structure shown in option B.

What is an alloy?

An alloy is a combination of two or more metals Alloys are known to have better tensile strength and higher resistence to corrosion.

We are told that both copper atoms and zinc atoms have the same atomic radius, 135 picometers. It then follows that an alloy of copper and Zinc will have the structure shown in option B.

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with the exception of one or two news stations, there is not much credible evidence that any particular mainstream news source is explicitly biased in one direction or the other in terms of its news coverage.

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There is credible evidence that mainstream news source is explicitly biased in one direction or the other in terms of its news coverage is a true statement.

What is the role of overriding bias in the news?

Research has shown that there is overriding bias in the news where it goes to one direction of stories with the aim of getting the largest audience.

Note that media bias is said to be a deliberate or unintentional bending of news reporting toward one direction as a result of  political views, etc.

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What is the correct definition of valence electrons?

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Answer: It is a negatively charged particle, located in the outermost shell of an atom, that can be transferred to or shared with another atom. Or for short it just means  Negatively charged particle

Hope thsi helps!

__________ is bordered by two central asian countries. a. the harirud river b. the caspian sea c. the aral sea d. lake balkhash please select the best answer from the choices provided a b c d

Answers

Answer: The Aral sea

Explanation: hope this helps! :)

use the data in the table below to determine whether each plant is a short-day plant, a long-day plant, a day-neutral plant, or a plant that cannot be classified based on the data.

Answers

The short-day plants are plant A and plant D; The Long day plants are plant C and plant E.

What is the classification of each plant?

1) Plants in short day; From the given data in the table, we can tell that flowers after a long night and plant flowers after long night were interrupted by the flash of far-red light and a flash of red light. Thus, plant A and plant D are short-day plants.

2) Plants in the long day; Flowers after a long night and flowers after a short night light interrupted them. Thus, plans in the long day are plant C and plant E.

3) Plants on a neutral day; These had plant flowers in all photoperiods possible where photoperiods controls  flowering in various plants. Thus, they are plant B and plant F.

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There are many factors that contribute towards one's personal values and views toward nature. based on the information from this lesson, identify one or two factor(s) important to your own views on nature and natural landscapes.

Answers

The contributing factors to the personal values I have towards nature are:

Its beautyHow unique it appearsIts complex nature

What is nature?

This is a term that is used to refer to the physical world that we live in as well as all the components that exists in it.

By the word nature, it refers to the plants, animals, environment and other features in the environment.

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What type of reaction present on this equation 2mgl + mn(so) → 2mgso + mnl

Answers

The type of reaction present in the equation(2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄)  is a double displacement reaction.

Balanced chemical reaction

2Mgl + Mn(SO₃)₂ → 2MgSO₃ + Mnl₄

The reactant of the reaction is on the left side while the product of the reaction is on the right side.

Double displacement (Metathesis)

Double displacement is a kind of reaction in which the two reacting compounds exchange their radicals or ions to form two new compounds. The anions and cations of the two different molecules switch places to form a new compound.

The reaction type is a double displacement reaction because the cations (mg and mn) and anions(so₃²⁻ and l⁻) switch positions.

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classify each item as either part of the m2 measure of the money supply or as not part of the money supply.

Answers

The classification of each item as either part of the M2 measure of the money supply or as not part of the money supply is; detailed below

What is the classification of each item?

M2

- $900 billion in checkable deposits

- $2 trillion in savings accounts

- $1.25 trillion in small time deposits

- $900 billion in cash held by the public

- $650 billion in money market accounts

Not in the money supply

- $3trillion in government securities belonging to the Federal Reserve

- $4.5 trillion in credit card debt

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Overall, the style of the passage is best described as conversational conversational digressive digressive cryptic cryptic lyrical lyrical intellectual

Answers

It should be noted that the Overall style of the passage is best described as intellectual.

What is meant by Intellectual?

Intellectual passage is used in critical thinking as well as research.

Therefore, we can see how the author made the narration and makes use of specific words, and critical thinking which made the work a intellectual one.

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a A force of 100N is required to stretch a string that obeys Hooks law by 50cm. What is the work done in stretching the spring?​

Answers

Answer:

[tex]workdone \: in \: stretching \: a \: spring \: = \frac{1}{2}ke {}^{2} \\ workdone = \frac{1}{2}fe \\ beause \: f = ke \\ f = 1000 \: \: x = 50cm \: = 0.5m \\ w = \frac{1}{2} (100)(0 .5) { }^{2} \\w = 12.5 \: newtonpermetre[/tex]

This map illustrates the countries occupied by germany. the countries occupied by france. that norway was not under german occupation. that belgium was not under german occupation.

Answers

Answer:

Late answer, but the answer is: A the countries occupied by Germany.

Explanation:

For future people I guess

The United States, Great Britain, the Soviet Union, and France participated in a joint occupation of the German state following Germany's defeat in the Second World War. Thus, option A is correct.

What are factor that led to Germany occupy countries?

In Germany's defeat in World War II, the country was jointly occupied by the continent's four major allies: the United States, Great Britain, the Soviet Union, and France.

The military overthrow of the Soviet Union; the abolition of the alleged Communist menace to Germany; and the seizing of valuable Soviet-controlled land as Lebensraum (German for “Living space”) for long-term German settlement.

During World War II, Germany's air raids posed the toughest challenges to halting its incursions into Europe. For the neighboring European nations, Adolf Hitler's military prowess and fast-moving ground forces made life extremely tough.

Therefore, the countries occupied by Germany.

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Schrank company is trying to decide how many units of merchandise to order each month. company policy is to have 20% of the next month's sales in inventory at the end of each month. projected sales for august, september, and october are 30,000 units, 20,000 units, and 40,000 units, respectively. how many units must be purchased in september?

Answers

Assuming  the company decide how many units of merchandise to order each month. The number of units that mus be purchased in september is 24,000 units.

Number of units

Using this fomula

Number of units=September sales units-Beginning inventory +Desired ending inventory

Hence:

September sales units 20,000

Beginning inventory  (4,000)

(20,000 x 0.20)

Desired ending inventory 8,000

(40,000×0.20)

Number of units 24,000

(20,000-4,000+8,000)

Inconclusion the number of units that mus be purchased in september is 24,000 units.

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Financial algebra: advanced algebra with financial applications workbook answers

Answers

An example of Financial algebra is find the 20% increase to the original price of 1.2.

What is Financial algebra?

Financial Algebra is known to be a type of semester course that is often made for the upperclassmen. It is one that has been set up to create a good and strong foundation in logical thinking and problem solving in terms of finance and money.

= 20% of the price = 1.2

The cost of the selling price of share = 1.247.65

Therefor it will be= 57.18

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Consider the net of a triangular prism where each unit on the coordinate plane represents four feet. If a sheet of plywood measures 4 ft x 8 ft, how many sheets of plywood will a carpenter need to build the prism?

Answers

Answer:

Explanation:

2 sheets of plywood will be needed.

Step-by-step explanation:

See the attached diagram.

Each three square plywood has area 1 units by 3 units = 4 feet by 12 feet = 48 feet square.  {Since each unit on the coordinate plane represents four feet}

Now, the two triangular plywood has area half of a unit square area.

So, two triangular plywood has total area = 1 unit by 1 unit = 4 feet by 4 feet = 16 feet square.

Therefore, the total area of plywood required to make the triangular prism is (48 + 16) = 64 feet square.

Now, if a sheet of plywood measures 4 ft by 8 ft i.e. 32 feet square, then the carpenter will need such sheets of plywood. (Answer)  

given the standard electrode reduction potentials, which reaction will occur spontaneously?

Answers

The chemical reaction that will occur spontaneously is given by this chemical equation: Mg²⁺ + V²⁺ ----> Mg + V.

What is reduction?

Reduction can be defined as a half-reaction through which the number of electrons (oxidation states) that is associated with the atoms of a chemical element are changed i.e reduced or decreased.

Based on the chemical reactions with the standard electrode reduction potentials, the half cell (Cu²⁺) with the higher reduction potential (+0.15) will be reduced while the half cell (V²⁺) with a lower oxidation potential (-1.18) will be oxidized and as such the chemical equation is given by:

                                      Mg²⁺ + V²⁺ ----> Mg + V.

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Based on the excerpt, what inferences can be made about the story’s setting? it is located on a farm with many field hands and employees. It is located on a wide, isolated expanse of farmland. It is in a small town where everyone is friendly toward one another. It is in a deserted town in which mysterious events occur

Answers

The inference that can be made from the story setting is "It is located on a wide, isolated expanse of farmland".

What is the setting of the story?

The setting of a story is known to be the exact location where a story was said to have occurred.

Note that the  setting can be anywhere such as home, school, etc. The story setting from the above excerpt is that it is located on a wide, isolated expanse of farmland".

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Answer:

B) It is located on a wide, isolated expanse of farmland

Explanation:

i read the text above

Which type of climate can be found in the us between the appalachian and rocky mountains?

Answers

Answer:

temperate grasslands

hope this helps

The number v of computers infected by a computer virus

Answers

The number of hours that the computers will be infected by a computer virus is one hour.

How can computers be infected by viruses?

Viruses are known to be some forms of computer worms or trojans that can be spread through a system in a lot of ways.

Its spread can be through networks, discs, email attachments etc. It is one that gives others access to your computer.

The number v of computers infected by a computer virus is given by V(t) = 100e^(4.666t)

So therefore,  t is the time in hours.

After 1 hour the number of computer infected v(t=1) = 100*e^(4.666*1)

=100*e^4.666

=100*106.271804

=10627.1804

~10627

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17.2 defining and evaluating the basic trigonometric functions

Answers

The trigonometric functions are known to be sine, cosine, tangent, cotangent, secant and cosecant.

What are Trigonometric functions?

The term  trigonometric functions are known to be a kind of real functions that helps to link an angle of a right-angled triangle to other ratios of two side lengths of that angle.

Note that they are often used in the field of sciences that are associated with  geometry, such as the area of  navigation, solid mechanics and also in the physics field.

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What is the temperature of 12.20 mol of gas in a 18.35 l tank at 16.40 atm?

Answers

The temperature of the given mole and pressure of gas is 300.6K.

Given the data in the question;

Amount of gas; [tex]n = 12.20mol[/tex]Volume of gas; [tex]V = 18.35L[/tex]Pressure; [tex]P = 16.40atm[/tex]

Temperature; [tex]T = \ ?[/tex]

The Ideal Gas Law

The Ideal gas law or general gas equation emphasizes on the state or behavior of a hypothetical ideal gas. It states that  pressure multiplied by volume is equal to moles multiply by the universal gas constant multiply by temperature. It is expressed;

[tex]PV = nRT[/tex]

Where P is pressure, V is volume, n is the amount of substance, T is temperature and R is the ideal gas constant ( [tex]0.08206Latm/molK[/tex] 0

The determine the temperature of the gas, we substitute our given values inro the equation above.

[tex]PV = nRT\\\\T = \frac{PV}{nR}\\ \\T = \frac{16.40atm\ *\ 18.35L }{12.20mol\ * \ 0.08206Latm/molK} \\\\T = \frac{300.94Latm}{1.001132molLatm/molK} \\\\T = 300.6K[/tex]

Therefore, the temperature of the given mole and pressure of gas is 300.6K.

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what is the angular speed, in rad/s, of a flywheel turning at 813.0 rpm?

Answers

85. 13 rad/se

813 x 2pi/60

27.1 x pi

85.13 rad/sec

Answer:

85.14 rad/s

Explanation:

Since we know that 1 revolution is equal to 2pi rad:

813(rev)/1(min) x 2pi/1 x 1(min)/60(seconds) = 85.14 rad/s

A train leaves boston and travels toward its destination

Answers

Answer:

i think it is 4mph

Explanation:

genes, which contain trait specifying information, are located on ______.

Answers

Answer:

Chromosomes is a gene that contain trait specifying information. I don't know if this will help or not.

Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler in the summer months and warmer in the winter months.

Answers

Water has a low specific heat and changes temperature easily, which keeps land near large bodies of water cooler is False.

What is Specific heat capacity?

This is defined as the quantity of heat required to raise the temperature of one gram of a substance by one Celsius degree.

it takes a lot of energy to increase the temperature of water which means it has a high specific heat capacity in this scenario.

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Answer:

False

Explanation:

Find the surface area of the square pyramid. a) 80 in2 b) 105 in2 c) 160 in2 d) 210 in2

Answers

Answer:

B) 105 is the right answer :D

Explanation:

I took the quiz for it!

Choose the best spanish equivalent to the phrase. El profesor termina su ____ (4th) año de estudios. Novena quinto cuarto segundo

Answers

Answer:

El profesor termina su cuarto año de estudios.

Explanation:

The teacher finishes his fourth (4th) year of studies. So, the correct option is C.

What is Study?

Study is the act of learning something new or gaining knowledge through instruction, research, or reading. It usually entails making a concentrated and deliberate effort to comprehend and retain knowledge, frequently with the aim of reaching a certain academic or professional conclusion.

There are several ways to learn, including reading, making notes, watching lectures, practicing using exercises or issues, and participating in group projects or discussions. Although it is frequently connected to formal education, it can also be done privately or informally and is a crucial aspect of the learning process.

Studying is crucial for personal skill development in addition to educational advancement. Your confidence, skill, and self-esteem can all be increased by having effective study techniques. Additionally, it aids in lowering tension and worry related to tests and deadlines.

So, the correct option is C.

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Your question is in Spanish, but the English translation is most likely:

Choose the best Spanish equivalent to the phrase. The teacher finishes his ____ (4th) year of studies.

ninth fifth fourth second

How does hemingway's decision to end the story of the major returning to the hospital after his wife's death contribute to the story's impact?

Answers

The decision of  hemingway's  to end the story of the major returning to the hospital after his wife's death lead to:

It creates a sense of grief for the major not only for the loss of his wife but also the loss of his hand, ending the story on a tragic note.

What is ending of a story implies?

An ending is known to be the conclusion of a thing. In stories, it can be a sad or an happy ending.

Note that an ending also connote  a time when a thing is about to  finish or near its completion. The end of the story above produces a sense of grief for the major not only for the loss of his wife but also the loss of his hand, that is  tragic story.

See options below

1. It hints that the major mourned for his lost wife only for a brief few days before returning to his routine at the hospital, ending the story on an uncaring note.

2. It emphasizes that the photographs are of no concern to the major because he doesn’t expect the machine to make much difference, ending the story on a doubtful note.

3. It suggests a sense of absurdity that the machine will revitalize the major’s hand to what is shown in the photographs, ending the story on a patronizing note.

4. It creates a sense of grief for the major not only for the loss of his wife but also the loss of his hand, ending the story on a tragic note.

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Which best describes the cold war? question 1 options: a battle over who would control the korean peninsula during the 1950s a struggle between the eastern bloc and the west that lasted 40 years a race between the soviet union and the united states to rebuild europe after wwii a fight to prevent the communist takeover of cuba

Answers

Answer:

A struggle between the Eastern Bloc and the West that lasted 40 years.

Suppose a​ five-year, bond with annual coupons has a price of and a yield to maturity of . what is the​ bond's coupon​ rate?

Answers

The bond's coupon rate with an annual coupon that has a price of $903.35 and the yield to maturity will be 3.33%.

How to calculate the coupon rate?

It should be noted that the formula for calculating the coupon rate is given as:

= Annual coupon / Face value

From the complete question, the annual coupon is $33.30 and the face value is $1000. Therefore, the coupon rate will be:

= Annual coupon / Face value

= 33.30/1000

= 3.33%

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Go math grade 8 practice and skills fluency workbook answer key

Answers

Answer:

the answer should be on a quizlet that i found

Explanation:

Go Math Middle School Grade 8, Practice Fluency Workbook

1st Edition

HOUGHTON MIFFLIN HARCOURT

here is the edition you need

hope this helps

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