What should lie do next? write the polynomial as a binomial squared. factor 3 out of the variable terms. isolate the variable x. add 8 to both sides of the equation.

Answers

Answer 1

The answer is 3 out of the variable terms.

What are Binomial squared?

The square of a binomial is the sum of the square of the first terms, then multiply the product of the two terms after that the square of the last term.

We have,

3x² + 18x - 8= 0

Move the constants to the right side.

3x² + 18x = 8

Take Factor 3 out of the variable terms.

3(x²+6x)=8

Add 27 to both sides of the equation.

3(x²+6x+9)=8+27

3(x²+6x+9)=35

Write the polynomial as a binomial squared.

3(x+3)²=35

Thus, the answer is 3 out of the variable terms.

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Related Questions

If water is added to 175 ml of a 0.45 m koh solution until the volume is 250 ml, what will the molarity of the diluted solution be?

Answers

0.35m, you can see the proof in the picture attached to the answer.

Music with a signature of three flats may very likely be in the key of _____.

e flat major
g major
a minor
b flat minor

Answers

The scale that has 3 flat notes on it is E flat major.

Which key has the signature of three flats?

The signature of 3 flats (3 little b's on the pentagram) corresponds to the scale that have 3 flats on it.

We will only care for major and minor ones (ignoring the other 5 modes).

If we go to Eb major, (remember that the intervals of the major scale are 2, 2, 1, 2, 2, 2, 1).

Eb, F, G, Ab, Bb, C, D

Which is also G minor, you can see that we have 3 flat notes.

So the correct option is the first one, E flat major or Eb major.

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What is the opportunity cost of an investment? a. the combined values of the other opportunities available b. the value of the next most valuable opportunity c. the marginal benefit of the investment d. the volatility of the investment please select the best answer from the choices provided a b c d

Answers

Opportunity cost is the loss of the profit when an alternative resulting in loss is chosen. The opportunity cost of the investment is the value of the most valuable opportunity. Thus, option B is correct.

What is an opportunity cost?

Opportunity cost includes the let go of one opportunity when the other alternative is chosen. The loss of the most beneficial option is called the opportunity cost.

It is also called alternative forgone as the choice of an alternative includes the loss of the profits that could have been possible when the other option was chosen.

Therefore, option B. opportunity cost of the investment is the value of the next opportunity.

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Answer:

b

Explanation:

i did it

Suppose that a family wants to start a college fund for their child. if you invest in an account that pays 5.5% and want the fund to have a value of $53,000 after 18 years, how much should you deposit monthly? assume an annuity due. a. $142.98 c. $143.49 b. $143.30 d. $145.52

Answers

Answer:

C. $143.49

Explanation:

Make suggestions on how cyber-savvy campaigns could overcome public apathy to deal with human rights violations

Answers

Human rights violation is the denial of the fundamental freedom and rights of humans. Cyber savvy can create mass campaigns to deal with the indifference.

What is cyber-savvy?

The person who is interested in and acquainted with computers, systems, and the internet are called cyber-savvy. They can use social platforms and the internet to ruin campaigns to spread awareness and let the common mass show their views.

Creating campaigns that portray the importance of human rights and the standing against discrimination and violence can connect the message of the violation to the large mass of people through the internet.

Therefore, by running campaigns on social platforms cyber-savvy can deal with the coldness.

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Simplify 4 x times the square root of quantity 3 x end quantity minus x times the square root of quantity 3 x end quantity minus 2 x times the square root of quantity 3 x end quantity period. x times the square root of quantity 3 x end quantity x times the square root of quantity 9 x end quantity 2 x times the square root of quantity 6 x end quantity 2 x times the square root of quantity 6 x cubed

Answers

The given expression 4√3x  - x√3x - 2√3x can be simplified as 2√3x - x√3x or  √3x(2 - x).

Simplification of the given expression

The given expression can be written as follows;

[tex]4\sqrt{3x} - x \sqrt{3x} - 2\sqrt{3x}[/tex]

Collect similar terms together

= (4√3x - 2√3x) - x√3x

= 2√3x - x√3x

factorize the expression since they common roots

= √3x(2 - x)

Thus, the given expression 4√3x  - x√3x - 2√3x can be simplified as 2√3x - x√3x or  √3x(2 - x).

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Read this excerpt from "look homeward, angel." like all the older children of major pentland she had, since her twentieth year, begun the slow accretion of land: from the savings of her small wage as teacher and book-agent, she had already purchased one or two pieces of earth. from this excerpt, eliza can best be described as a

Answers

Answer:

B: a humble teacher

Explanation:

Hope this helped!!

Which situation can be represented by a single expression? the product of three-fourths and a number is 16. one-fifth of a number half of a number is 15. the difference of 20 and a number is 14.

Answers

The situation that can be represented by a single expression is one-fifth of a number, half of a number is 15.

What is single expression?

The single expression is the function with single expression. It can be negative or positive, or a single letter that can be divided or multiply.

Thus, the correct option is b, one-fifth of a number half of a number is 15.

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Answer: half of a number is 15

Explanation:

Having better access to shelter and has contributed to global population growth.

Answers

Answer:

A better shelter and A. clean water lead to growth of global population.

Explanation:

Availability of a good shelter and clean water both help an individual lead a healthy life. The shelter protects him from external environmental factors that may be harmful to his existence. These factors include sunlight, rains, lightning, etc.

Clean water keeps the water-borne diseases away and helps the individual maintain hygiene which is ultimately necessary for his physical well-being. Thus, the availability of shelters and clean water increase the life expectancy and ultimately result in global population growth.

Answer:

A

Explanation:

edge 22

Solutions of a squared equation that are not solutions of the original equation are called

Answers

Solutions to a squared equation that aren't direct solutions of the original equation are called extraneous solutions.

What is an extraneous solution?

In Mathematics, an extraneous solution can be defined as a type of solution (root) to a squared equation or transformed equation that isn't a direct solution (root) of the original equation.

This ultimately implies that, extraneous solutions are numerical values that are obtained when we solve equations that aren't solutions to the original equation.

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17.1 angles of rotation and radian measure evaluate homework and practice answers

Answers

Based on the calculations, the measure of this angle in radian is equal to 0.75 radian.

How to calculate the length of the arc?

In Geometry, the length of an arc formed by a circle can be calculated by using this formula:

S = rθ

Where:

r is the radius of a circle.θ is the angle measured in radians.S is the length of an arc.

Making θ the subject of formula, we have:

θ = r/S

Let S = 4 inches and r = 3, we have:

θ = 3/4

θ = 0.75 radian.

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Discuss two ways in which the media often fails to fulfill its responsibility to society

Answers

Two ways in which the media fails to fulfill its responsibility to society is when they show fake news and agendas, and when they show wrong thing to brainwash people just for money.

What is media?

Media are the ways of mass communication, they show us what going on in the country and the world.

The purpose of media is to introduce the citizens with what happening in the world.

Thus, the ways in which the media fails to fulfill its responsibility to society is when they show fake news and agendas, and when they show wrong thing to brainwash people just for money.

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In spanish write a letter to your grandmother, you are telling her about what five of your friends or family members are doing today.

Answers

Answer:

no

Explanation:

that would be plagiarism

In a certain pentagon, the interior angles are $a^\circ,$ $b^\circ,$ $c^\circ,$ $d^\circ,$ and $e^\circ,$ where $a,b,c,d,e$ are integers strictly less than $180$. ("strictly less than $180$" means they are "less than and not equal to" $180$.) if the median of the interior angles is $61^\circ$ and there is only one mode, then what are the degree measures of all five angles?

Answers

The degree measures of all of these angles are 60, 61, 61, 179, 179.

How to solve for the angle measures

Given that the 3rd largest angle that we have here is 61 degrees, the three angles are not going to be more than 183.

The sum of all the angles must be 540 degrees. The total of the largest of the numbers is less that 179 x 2 = 358 degrees.

The sum of the smallest three would be

540 - 358 = 182 degrees

Therefore the possible sets of these angles would be  60, 61, 61, 179, 179 degrees

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Answer:

61, 61, 61, 178, 179

Explanation:

The five interior angles of any pentagon add up to 3*180= 540

If the median is 61, then we know the three smallest angles are each no more than 61, and so they add up to at most 3*61= 183 degrees. This means the two largest angles must add up to at least 540-183= 357 degrees. Since 178+179=357, and since the angles are all integers strictly less than 180, the only possibilities for the two largest angles are 178, 179 or 179, 179. 

We consider these possibilities one at a time.

If the two largest angles are 178 and 179, then the three smallest angles add up to exactly 183, so they must each be exactly 61. Thus, one set of angles that satisfy the conditions in the problem is 61, 61, 61, 178, 179.

If the two largest angles are 179 and 179, then the three smallest angles add up to 182. The only way this can happen is for one of them to be 60 and the other two to be 61, but in this case, the set of angles would have more than one mode. So we can rule out this answer.

In conclusion, the five angles must be 61, 61, 61, 178, 179.

Choose all the responses that describe events leading to the korean war

Answers

Events leading to the Korean war are; Japan lost control of Korea following World War ll and China gained control of Korea following World War ll.

What were the events associated with the Korean war?

The Korean War was a war fought between North Korea and South Korea from the year 1950 to 1953.

This Korean war began on 25 June 1950 when North Korea invaded South Korea following clashes along the border and rebellions in South Korea.

The correct events that describe events that lead to the war are;

Japan lost control of Korea following World War ll.China gained control of Korea following World War ll.

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Based on the audio, what did osvaldo's grandfather do every day? danced to cuban music listened to music played the piano wrote merengue lyrics

Answers

Osvaldo's grandfather do every day is listened to music. Learn more about instrument below.

What is string instrument?

The term stringed instrument, is known to be any form of musical instrument that creates sound by the action of the vibration of  strings.

Note that  Based on the audio, Osvaldo's grandfather love string instruments and he likes them.

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Answer: His grandfather loved listening to music everyday

Explanation: Hope that helped!!!

A random drawing will determine which 3 people in a group of 9 will win concert tickets. what is the probability that you and your 2 friends will win the tickets? express your answer as a fraction in simplified form.

Answers

The probability that you and your 2 friends win the tickets is P = 1/84.

How to determine the probability?

There are 9 possible outcomes, 3 of which are you and your friends.

All of these outcomes have the same probability of being randomly selected, then the probability of winning is given by the quotient between the number of "outcomes" that you have and the total number of outcomes.

Let's say that the outcomes are pieces of paper with the names of the participants.

First draw:

In this one, there are 3 possible options that work, one is your paper, and the other two are for your friends.

So the probability is 3/9 = 1/3.

Second draw.

One of your group already won, so now there are 2 of you, and a total of 8 pieces of paper, so this time the probability is 2/8 = 1/4

Final draw:

Only one of you remains, and there is a total of 7 pieces of paper, this time the probability is 1/7.

The joint probability (of these 3 events happening in succession) is given by the product of the individual probabilities:

P = (1/3)*(1/4)*(1/7) = 1/84

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Review the map. a map titled jewish expulsion and diaspora. areas of expulsion are labeled with triangles. resettlement areas are marked with stars. netherlands, ottoman empire, egypt, and north africa have stars. which country was a resettlement area for jewish people? england egypt france lithuania

Answers

How did the dispersion routes of the Israelites compare under the Romans and the Babylonians is that:

The Roman Empire was far larger than the Babylonian Empire, so Israelites were forced to travel long distances to worship freely.

What is a map?

This is known to be an object that is often used to show direction to any place or location.

Note that using the map, How did the dispersion routes of the Israelites compare under the Romans and the Babylonians is that:

The Roman Empire was far larger than the Babylonian Empire, so Israelites were forced to travel long distances to worship freely.

See full question below

A map titled Jewish Diaspora. A key shows Jewish Diaspora from 587 B C E through 300 C E. Route of Babylonian Exile: 587 B C E is a purple arrow. Jewish dispersion routes 70 through 300 C E are red arrows. Extent of Roman Empire: 300 C E is shaded purple. Purple shading areas include Egypt, Judah, Syria, Macedonia, Italy. A purple arrow begins at Jerusalem and points toward Babylon. Many red arrows point away from major cities with the Roman Empire.

How did the dispersion routes of the Israelites compare under the Romans and the Babylonians?

The Israelites had more opportunities for independence in different lands under the Romans than under the Babylonians.

The Israelites preferred the lands of the Roman Empire because they were more welcoming than those of the Babylonian Empire.

The Roman Empire was far larger than the Babylonian Empire, so Israelites were forced to travel long distances to worship freely.

Because the Babylonian Empire was larger than the Roman Empire, the Israelites had more options to spread their culture.

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Answer:

B, EGYPT

Explanation:

I got it right :D

Make a slogan expressing the importance of synthesis in writing

Answers

The slogan is " understanding literature through synthesis". Check more about the importance of writing below.

What is the importance of synthesis in writing?

Synthesis is known to be the one that uses both information that has been paraphrased and also the one where the writer uses other information obtained from a lot of  sources.

Note that Synthesis depicts more about scholarship as well as it also tell more about an  understanding literature  and other kind of information.

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How are the characters of the man and woman on the raft developed in the passage

Answers

Answer:

This is probably to late but I belive its "by their actions see through the eyes of an observer"

Explanation:

The two structures that limit transpiration are known as

Answers

Leaf stomates are the primary sites of transpiration and consist of two guard cells that form a small pore on the surfaces of leaves. The guard cells control the opening and closing of the stomates in response to various environmental stimuli and can regulate the rate of transpiration to reduce water loss.

If prices rise by 1.5% a month, by how much will they increase over a full year? input your answer correct to two decimal places.

Answers

Answer:

18% in a year

Explanation:

We know that there are 12 months in a year. To to find the percentage of yearly increase, we just need to multiply the monthly percentage by the number of months in a year.

1.5% = 0.015

0.015 * 12 = 0.18

0.18 = 18%

So, the prices increase 18% in a year.

How many grams of calcium oxide will be produced in a closed vessel containing 20.0 kg of calcium and 20.0 kg of oxygen gas if the reaction goes to completion? (atomic mass of calcium = 40.1 amu)

Answers

Answer:

Explanation:

The mass of Calcium oxide that will be produced in a closed vessel is 27984.1311 g. The Number of moles is defined as given mass over molar mass.

Calculation of Number of moles:

Number of moles = Given mass / Molar mass

For Calcium :-

Mass of calcium = 20.0 kg = 20000 g ( 1 kg = 1000 g )

Molar mass of calcium = 40.078 g/mol

Thus,

Number of moles = 20000 g / 40.078 g/mol

Number of moles = 499.02 moles

For oxygen gas :-

Mass of oxygen gas = 20.0 kg = 20000 g ( 1 kg = 1000 g )

Molar mass of oxygen gas = 31.999 g/mol

Thus,

Number of moles = 20000 g / 31.999

Number of moles = 625.19 moles

According to the given reaction:

2 moles of calcium reacts with 1 mole of oxygen gas

Also,

1 mole of calcium reacts with 1/2 mole of oxygen gas

So,

499.0269 mole of calcium react with  mole of oxygen gas

Moles of oxygen gas = 249.5135 moles

Available moles of oxygen gas = 625.0195 moles

Limiting reagent is the one which is present in small amounts. Thus, calcium is limiting reagent.

The formation of the product is governed by the limiting reagent. So,

2 moles of calcium produces 2 moles of calcium oxide

So,

1 mole of calcium produces 1 mole of calcium oxide

Also,

499.0269 moles of calcium produces 499.0269 moles of calcium oxide

Moles of calcium oxide = 499.0269 moles

Molar mass of calcium oxide = 56.0774 g/mol

Mass of calcium oxide = Moles × Molar mass = 499.0269 * 56.0774 g = 27984.1311 g  

27984.1311 g of calcium oxide will be produced.

In which pair of numbers is the first number divisor of the second number

Answers

The pair of numbers that the first number is a divisor of the second number is; A: 27, 9

How to find number pairs?

The pairs of numbers are missing and they are;

27, 9

25, 6

8, 72

52, 3

Now, we want to find the pair of numbers that the first number is a divisor of the second number.

Looking at the given pairs, the only one where the first number is a divisor of the second number is 27, 9 simply because 9 is a multiple of 27.

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Contemporary abstract algebra 8th edition solutions

Answers

An example of Contemporary abstract A., question is "This software checks the validity of a Postal Service money order number. Use it to verify that 39539881642 is valid".

What is software validity?

Software validation is known to be the method  setting up documented evidence that shows that a computer system has been installed rightly.

Note that If input is“39539881642” one can say that the output have to be the same with the input.

Since the input number  in the above question is 39539881642, therefore, we can say that money order number is valid.

In another scenario, when input is“39539881632” and when it has one digit to be incorrect, Then we can say that your input number will be 39539881632 and thus, the number is not valid as a result of the the error that was detected.

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A goal of fidel castro was to create a partnership with spanish-speaking nations bring communism to cuba create an alliance with batista isolate cuba from the world

Answers

The goal of the cuban leader named Fidel Castro back in History was; To bring communism to Cuba

What was the goal of Communism?

Fidel Castro was a cuban leader who was known to overthrow the military dictatorship of Fulgenico Batista. Now, Fidel Castro ruled over cuba for nearly five decades and he established the first communist state.

Fidel Castro was successful in reducing racism, illiteracy, improving the health care of public, e.t.c

Finally, the main goal of Fidel Castro was to bring communism to cuba which he succeeded in doing.

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Which term describes a person in the center of the political spectrum?

Answers

Answer:

can you put the choises

Explanation:

thanks

Describe and explain the difference in muscularity between the crop and the gizzard

Answers

The difference in muscularity between the crop and the gizzard earthworm is that; Crop muscularity is soft while for gizzard it is hard.

What are the differences in Muscularity?

Earthworms usually eats the soil that has organic matter such as leaves and others.

Now, the digestive system of earthworms is made up of pharynx, oesophagus, intestine, gizzard and crop. The mode of digestion is that the food passes through the esophagus after which it is now pushed down the crop where it is used for storage and then in the gizzard where the food is being grind.

Finally. the difference between the crop and the gizzard is that the crop muscularity is soft while that of gizzard is hard.

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Compare the measures. describe what these measures indicate about the shape of the box-and-whisker plot

Answers

The measures give the description of the shape and the whisker plot from the data.  The median is always placed in the middle of the center.

What is a graph?

A graph is the diagrammatical representation of the data or information set that are illustrated in the form of vertical and horizontal coordinates.

The data given shows:

Mean = 39,500Median = 20000Mode = 23000Minimum = 15,000Maximum = 255000

The whisker plot and the box shape are attached as an image below.

From the image, it can be seen that whiskers are at the right and left of the box, and the box initiates from the lower quartile to the upper quartile.

The median of the data is at the middle, the maximum is at the end of the right whisker, and the minimum is at the end of the left whisker.

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Answer:

The data is skewed.

The right whisker is long.

The median is in the middle of the box.

The left whisker is short.

Explanation:

Read this excerpt from "mad cow, furious farmer. " look around your house. think about everything held up by the walls and floors. what if, say, just one corner of your house suddenly got squishy? what if the corner wiggled with the wind? nearby walls and pipes and roofing would bend with it. if that corner was not fixed, it could eventually ruin your entire house! that is a little like mad cow disease, a brain disease caused by a speck of material that eventually ruins the entire brain. the speck of material is called a "prion" and it is dangerous. the main subject of this excerpt is about how mad cow disease starts in the brain and can affect humans. how scientists study the brain and detect anger and madness. how prions can cause a barn to become unstable and dangerous. how farmers should protect barns and houses from cows and other livestock

Answers

farmers must Vaccine their cows monthly to prevent the diseases to spread

Answer: ITS D

Explanation:

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