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## If x=6 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the equation?

If x=6 is the only intercept, it means that the quadratic is tangential to the x-axis, or equivalently x=6 is a root with multiplicity 2.
The discriminant is typically zero for multiplicity 2 in a quadratic.
It will be clear looking at the quadratic formula:
if D=b^2-4ac = discriminant of the quadratic, then
x1=(-b+sqrt(D))/2a or x2=(-b-sqrt(D))/2a
if x1=x2 (double root, or multiplicity 2) then clearly D has to be zero.

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## CAPULET: Go, be gone. (Exit Second Servant) We shall be much unfurnished for this time. What, is my daughter gone to Friar Laurence? NURSE: Ay, forsooth. CAPULET: Well, he may chance to do some good on her: A peevish self-will'd harlotry it is. NURSE: See where she comes from shrift with merry look. (Enter JULIET) CAPULET: How now, my headstrong! where have you been gadding? JULIET: Where I have learn'd me to repent the sin Of disobedient opposition To you and your behests, and am enjoin'd By holy Laurence to fall prostrate here, And beg your pardon: pardon, I beseech you! Henceforward I am ever ruled by you. CAPULET: Send for the county; go tell him of this: I'll have this knot knit up to-morrow morning. JULIET: I met the youthful lord at Laurence' cell; And gave him what becomed love I might, Not step o'er the bounds of modesty. CAPULET: Why, I am glad on't; this is well: stand up: This is as't should be. Let me see the county; Ay, marry, go, I say, and fetch him hither. Now, afore God! this reverend holy friar, Our whole city is much bound to him. JULIET: Nurse, will you go with me into my closet, To help me sort such needful ornaments As you think fit to furnish me to-morrow? LADY CAPULET: No, not till Thursday; there is time enough. CAPULET: Go, nurse, go with her: we'll to church to-morrow. In this passage from act IV of Romeo and Juliet, Lord Capulet is preparing for Juliet’s wedding after threatening to disown her if she refuses to marry Paris. Which statement best describes the character of Lord Capulet? A. He is vulgar and foolish. b. He is oppressive and controlling. c. He is careless and neglectful. d. He is caring and headstrong.

CAPULET: Go, be gone. (Exit Second Servant) We shall be much unfurnished for this time. What, is my daughter gone to Friar Laurence? NURSE: Ay, forsooth. CAPULET: Well, he may chance to do some good on her: A peevish self-will’d harlotry it is. NURSE: See where she comes from shrift with merry look. (Enter JULIET) CAPULET: How now, my headstrong! where have you been gadding? JULIET: Where I have learn’d me to repent the sin Of disobedient opposition To you and your behests, and am enjoin’d By holy Laurence to fall prostrate here, And beg your pardon: pardon, I beseech you! Henceforward I am ever ruled by you. CAPULET: Send for the county; go tell him of this: I’ll have this knot knit up to-morrow morning. JULIET: I met the youthful lord at Laurence’ cell; And gave him what becomed love I might, Not step o’er the bounds of modesty. CAPULET: Why, I am glad on’t; this is well: stand up: This is as’t should be. Let me see the county; Ay, marry, go, I say, and fetch him hither. Now, afore God! this reverend holy friar, Our whole city is much bound to him. JULIET: Nurse, will you go with me into my closet, To help me sort such needful ornaments As you think fit to furnish me to-morrow? LADY CAPULET: No, not till Thursday; there is time enough. CAPULET: Go, nurse, go with her: we’ll to church to-morrow. In this passage from act IV of Romeo and Juliet, Lord Capulet is preparing for Juliet’s wedding after threatening to disown her if she refuses to marry Paris. Which statement best describes the character of Lord Capulet? A. He is vulgar and foolish. b. He is oppressive and controlling. c. He is careless and neglectful. d. He is caring and headstrong.

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## Read this claim: The voting age should be lowered to 16 Which statement about the claim is true? A. Its arguable but not defensible B. It is both arguable and defensible C. it is neither arguable nor defensible D. It is defensible but not arguable

Read this claim: The voting age should be lowered to 16 Which statement about the claim is true? A. Its arguable but not defensible B. It is both arguable and defensible C. it is neither arguable nor defensible D. It is defensible but not arguable

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## Which statement is true? A sample statistic can never be equal to the population parameter. Point estimates are defined for both samples and populations. To calculate a sample proportion, we need to know the population size. To calculate a point estimate, we need to know the sample size

Option C is true. To calculate a sample proportion, we need to know the population size.

Step-by-step explanation:

To calculate a sample proportion, we need to know the population size. – This is the true statement.

A sample statistic can never be equal to the population parameter. This is false. A statistic is a feature of sample and a parameter is a feature of  population. Every sample of the selected size has an equal chance of being used.

Point estimates are defined for both samples and populations. This is false. A point estimate is used to estimate the population parameter.

To calculate a point estimate, we need to know the sample size. This is false. Population is needed.

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## What is a paradox? an author or character says one thing but means something else the audience or reader knows or understands something that a character does not know an inconsistency between what the audience or reader expects and what actually happens a statement or situation that seems to be contradictory but actually presents a truth

The answer is a situation that seems to be contradictory but actually, presents a truth. It seems unreal because it gives a different light of understanding a subject. A paradox has a possibility to happen although it looks impossible or contradicting.

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## Which statement is a piece of evidence that leads you to infer that Ivan Jakolevitch is often balmed for things that are not his fault

Which statement is a piece of evidence that leads you to infer that Ivan Jakolevitch is often balmed for things that are not his fault

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## A detailed outline is compiled from A. source material. B. works cited. C. note cards. D. the thesis statement.

A detailed outline is compiled from A. source material. B. works cited. C. note cards. D. the thesis statement.

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## Which statement about Edgar Allan Poe’s short story “The Pit and the Pendulum” is false? A) The story can be classified as psychological suspense. B) Poe’s key purpose is to create an unsettling atmosphere. C) The thoughts and actions of the main character suggest that he is crazy. D) Poe’s writing style is plain and simple to read, with few descriptions. ***ANSWER: The answer to this question is D- Poe's writing style is pain and simple to read, with few descriptions.***

Which statement about Edgar Allan Poe’s short story “The Pit and the Pendulum” is false? A) The story can be classified as psychological suspense. B) Poe’s key purpose is to create an unsettling atmosphere. C) The thoughts and actions of the main character suggest that he is crazy. D) Poe’s writing style is plain and simple to read, with few descriptions. ***ANSWER: The answer to this question is D- Poe’s writing style is pain and simple to read, with few descriptions.***

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## What Is the most complete statement of a literary theme

What Is the most complete statement of a literary theme

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## Which statement best describes the controversy between imperialists such as Beveridge and anti-imperialists over the terms of the Treaty of Paris of 1899? They disagreed over the annexation of Cuba. They disagreed over the annexation of Hawaii. They disagreed over the acquisition of the Philippines. They disagreed over the purchase of Puerto Rico and Guam.

They disagreed over the acquisition of the Philippines

The republicans didn’t want the Philippines while the Democrats wanted to acquire it. Those against it believed that it would make the US into an imperialist force like those in Europe that they believed were evil, while the Democrats wanted more land and more resources, claiming that they would help the people of Philippines.

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## “That you want us to call him Nikhil.” “That is correct.” Mrs. Lapidus nods. “The reason being?” “That is our wish.” “I’m not sure I follow you, Mr. Ganguli. Do you mean that Nikhil is a middle name? Or a nickname? Many of the children go by nicknames here. On this form there is a space—” “No, no, it’s not a middle name,” Ashoke says. He is beginning to lose patience. “He has no middle name. No nickname. The boy’s good name, his school name, is Nikhil.” Mrs. Lapidus presses her lips together and smiles. “But clearly he doesn’t respond.” “Please, Mrs. Lapidus,” Ashoke says. “It is very common for a child to be confused at first. Please give it some time. I assure you he will grow accustomed.” Which statement best explains how Lahiri explores conflict brought on by globalization? 1.Lahiri uses descriptions to compare elements of traditional schooling in different cultures. 2.Lahiri uses the characters’ actions to show how people from different cultures can work together to resolve conflicting values. 3.Lahiri uses the setting to highlight her opinions on the educational systems in both the United States and India. 4.Lahiri uses dialogue to show how people from different cultures can have difficulty relating to each other’s experiences.

The answer is D. Lahiri want’s to bring attention to how much cultural tension there is between an Indian transfer student and a typical American school. In this  example the conflict isn’t between the child and the teacher: but the communication barrier they have over his name.

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## Read the two passages. Passage One Our school’s mission statement stresses community, cooperation, and personal and intellectual growth. But one of our school’s practices—selecting a valedictorian, or the student with the highest rank in the graduating class—does not support our mission. This practice is divisive, unfair, and archaic. So let’s end it now! Passage Two It is only with great care that administrators consider implementing any system-wide changes to their mission statements. Administrators carefully craft these statements to reflect their school’s fundamental and philosophical approach to education. They take great care in making sure that this mission statement is educationally sound. Based on these two passages, which statement is true? Neither author is open or receptive to opinions contrary to his or her own. Based on an examination of word choice, it is evident that the author of the first passage is someone in administration, while the author of the second is not. Based on an examination of structure, it is clear that both authors reveal their viewpoints most clearly in the last sentence. Both authors are in support of the mission statement.

Read the two passages. Passage One Our school’s mission statement stresses community, cooperation, and personal and intellectual growth. But one of our school’s practices—selecting a valedictorian, or the student with the highest rank in the graduating class—does not support our mission. This practice is divisive, unfair, and archaic. So let’s end it now! Passage Two It is only with great care that administrators consider implementing any system-wide changes to their mission statements. Administrators carefully craft these statements to reflect their school’s fundamental and philosophical approach to education. They take great care in making sure that this mission statement is educationally sound. Based on these two passages, which statement is true? Neither author is open or receptive to opinions contrary to his or her own. Based on an examination of word choice, it is evident that the author of the first passage is someone in administration, while the author of the second is not. Based on an examination of structure, it is clear that both authors reveal their viewpoints most clearly in the last sentence. Both authors are in support of the mission statement.

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## Which statement best describes how the order of events heightens tension in this passage? If Pyramus had left at the same time as Thisbe, he might have seen that she was not killed by the lion. If the lioness had arrived later, she would have encountered Pyramus rather than Thisbe. If Pyramus had arrived earlier, he would have seen the lion attack Thisbe. If Pyramus and Thisbe had arrived at the same time, they would have encountered the lioness together.

The statement that best describes how the order of events heightens tension would be: If Pyramus had left at the same time as Thisbe, he might have seen that she was not killed by the lion.
In the story, Pyramus just see the lioness with blood covering its mouth. So Pyramus just make the assumption that the Lioness killed Thisbe

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## WILL GIVE BRAINLIEST PLEASE HELP Which statement is true? Spiral and elliptical galaxies have gas and dust between stars while irregular galaxies do not. Spiral and irregular galaxies have gas and dust between stars while elliptical galaxies do not. Irregular galaxies have gas and dust between stars while elliptical and spiral galaxies do not. Elliptical galaxies have gas and dust between stars while irregular and spiral galaxies do not.

Irregular galaxies may contain abundant amounts of gas and dust. Elliptical galaxies, have very little gas and dust. Because gas and dust are found in the clouds that are the birthplaces of stars, we should expect to see very few young stars in elliptical galaxies. Spiral galaxies are much younger but contain lots of small celestial bodies and floating matter.

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## The entire South did not succumb to the mystique of cotton. Based on this statement, which of the following is true A.Virginia and North Carolina continued to devote themselves to the tobacco industry B. South Carolina devoted itself to coal C. Georgia continued to devote themselves to tobacco D. Kentucky cultivated tobacco.

The correct answer is A) Virginia and North Carolina continued to devote themselves to the tobacco industry.

The entire South did not succumb to the mystique of cotton. Based on the statement, what is true is that  Virginia and North Carolina continued to devote themselves to the tobacco industry.

With no doubt, cotton was the fascination for many farmers in the Southern states. They were dedicated to growing cotton and they did as much as they could. From 1810 to 1850, slavery was an important part of the economy of the Southern states. They depend so much on the labor force of slaves. But no all the states were fascinated with this “cotton fever.” Other Southern states were known for other products. That was the case of  Virginia and North Carolina that continued to devote themselves to the tobacco industry. South Carolina focused on the sugar plantations that were a good business too. Others states, such as Kentucky were renown because they bred and sold horses.

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## Which statement best describes the use of catalytic converters in automobiles? A. They decrease the rate of the reactions that produce harmful gases. B. They oxidize hydrocarbons to form less toxic gases. C. They combine the larger hydrocarbon molecules with smaller ones. D. They increase reaction temperature for cleaner burning.

Answer:  B. They oxidize hydrocarbons to form less toxic gases.

Explanation:

A catalytic converter is a device which is used in automobile engine to convert the harmful gaseous exhaust into a less toxic pollutant after the process of combustion of the fuel. It conducts an internal redox (oxidation-reduction) reaction in the automobile engine to facilitate such conversion.

On the basis of the above information, They oxidize hydrocarbons to form less toxic gases is the correct option.

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## At lunch, the babysitter gives Tanya and Damien each a chocolate candy. Tanya puts her candy on her plate. Damien saves his candy in his pocket. After lunch, Damien discovers his candy has melted. Which statement accurately compares the atoms in the two candies?

At lunch, the babysitter gives Tanya and Damien each a chocolate candy. Tanya puts her candy on her plate. Damien saves his candy in his pocket. After lunch, Damien discovers his candy has melted. Which statement accurately compares the atoms in the two candies?

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## Which statement from the passage could be used as evidence to suggest that columbian exchange enabled the inhabitants of the new world to work more efficiently

Which statement from the passage could be used as evidence to suggest that columbian exchange enabled the inhabitants of the new world to work more efficiently

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## The chemical formula of lithium carbonate is Li2CO3. Which statement below best describes the types and number of atoms of each element making up this substance? A. Two lithium atoms; one calcium atom; one oxygen atom B. One lithium atom; three carbon atoms; three oxygen atoms C. One lithium atom; one carbon atom D. Two lithium atoms; one carbon atom; three oxygen atoms

The chemical formula of lithium carbonate is Li2CO3. Which statement below best describes the types and number of atoms of each element making up this substance? A. Two lithium atoms; one calcium atom; one oxygen atom B. One lithium atom; three carbon atoms; three oxygen atoms C. One lithium atom; one carbon atom D. Two lithium atoms; one carbon atom; three oxygen atoms

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## Which of these statements is true? A; The title of the paper should convey the exact focus, meaning, and purpose of the paper. B.The title of the research paper is the thesis statement. C.A reliable Web resource presents opinions as facts and is sponsored by advertisements. D.Thesis statements, once written, cannot be revisited

Which of these statements is true? A; The title of the paper should convey the exact focus, meaning, and purpose of the paper. B.The title of the research paper is the thesis statement. C.A reliable Web resource presents opinions as facts and is sponsored by advertisements. D.Thesis statements, once written, cannot be revisited

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## Select all that justify the following statement. 3 + (y + 5) = y + 8 a)commutative – addition b)distributive c)associative – multiplication d)symmetric e)commutative – multiplication f)associative – addition g)identity – addition

Select all that justify the following statement. 3 + (y + 5) = y + 8 a)commutative – addition b)distributive c)associative – multiplication d)symmetric e)commutative – multiplication f)associative – addition g)identity – addition

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## The quote below was part of a campaign speech given by Senator Albert J. Beveridge in 1898: “But today we are raising more than we can consume. Today we are making more than we can use. Today our industrial society is congested; there are more workers than there is work; there is more capital than there is investment. We do not need more money—we need more circulation, more employment. Therefore, we must find new markets for our produce, new occupation for our capital, new work for our labor.” Which type of policy was this statement intended to justify?

Imperialism is when one country tries to extend its power over another country or territory. This can be done through warfare or the signing of treaties/agreements. The quote by Beveridge is discussing how American society is producing more goods than its ever produced and that the US needs to expand its power and influence over other countries. This would allow the excess goods and services to be sold to new consumers, generating more profits for business owners.

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## Which of the following is an incorrect statement? A. Gastrovascular cavities have a single opening through which animals both ingest food and expel wastes. B. Extracellular digestion is the process in which food is broken down outside cells in a digestive system. C. Intracellular digestion happens when animals digest food inside specialized cells that pass nutrients to other cells by diffusion. D. Digestive tracts have 2 openings, which allows food to move in 2 directions.

The incorrect statement is option D. Digestive tracts have two openings, which allows food to move in two directions.

Explanation:

The digestive system is a long twisted tube from the mouth to the anus with a series of accessory organs connected to it. This long twisted continuous tube having two openings, mouth and the anus, called the digestive tract that allows food to move in one direction only (mouth to anus).

In the digestive tract, food enters from the mouth and food passing through pharynx, esophagus, stomach, small intestine, and large intestine. The indigestible food or waste eliminated through the anus.

So, the digestive tract allows food to move in one direction only.

Thus, incorrect option would be option D.

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## Adenan makes a scale drawing of a rectangular flower box. The length is 5 in., and the width is 3 in. Adenan changes the scale of the drawing from 1 in. : 4 ft to 1 in. : 6 ft. Which statement about the dimensions of the flower box is true? A. The length of the flower box under the new scale is 15 ft. B. The length of the flower box under the old scale is 30 ft. C. The width of the flower box under the old scale is 12 ft. D. The width of the flower box under the new scale is 24 ft.

Since the scale is 1 inch = 6 feet, you would have to take the legth in inches of the scale drawing and multiply that by 6, so you would  have 5×6=30 for the length and 3×6=18 for the width under the new scale, both A and D are incorrect. In the old scale, 1 inch = 4 ft, so youu would take 5×4=20 for the length and 3×4=12 for the width, which would mean C is the correct answer.

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## The graph of f(x) = |x| is reflected across the x-axis and translated to the right 6 units. Which statement about the domain and range of each function is correct? Both the domain and range of the transformed function are the same as those of the parent function. Neither the domain nor the range of the transformed function are the same as those of the parent function. The range but not the domain of the transformed function is the same as that of the parent function. The domain but not the range of the transformed function is the same as that of the parent function.

D. The domain but not the range of the transformed function is the same as that of the parent function.

Step-by-step explanation:

We are given,

The function is reflected across x-axis, which gives .

And then the function is translated to the right by 6 units, which gives .

Thus, the transformed function is

So, from the graph shown below, we get,

Domain of both the functions f(x) and g(x) is set of all real numbers.

Range of f(x) is .

But, Range of g(x) is .

Hence, the correct option is,

D. The domain but not the range of the transformed function is the same as that of the parent function.