how many complex roots does the polynomial equation have? 5x3−4x+1=0

Answers

Answer 1

Answer:

[tex] 5{x}^{3} - 4x + 1 = 0\\ let \: x = - 1 \\ 5{( - 1)}^{3} - 4( - 1)+ 1 = 0 \\ - 5 + 4 + 1 = 0 \\ 0 = 0 \\ (x + 1)(5 {x}^{2} - 5x + 1) =0 \\ D = {b}^{2} - 4ac \\ D = {5}^{2} - 4( - 5)(1) = 25 + 20 = 45 \\ \therefore \: D > 0 \\ all \: roots\: are \: real[/tex]


Related Questions

what would happen if the earth continued to rotate but it did not revolve around the sun?

Answers

Answer:

Without the heat of the sun the earth would freeze, ultimately resulting in extreme environmental/climate change and ofcourse, certain death for the organisms on earth.

Explanation:

Organisms on earth require the sun for survival, not only does it keep us warm but we need the vitamins. So do animals and plants.

the guy up there said it without the sun the earth will freeze

Who was Johann Gutenberg? a. the inventor of the moveable printing press b. a famous woodcut artist c. an artist known for his shading ability d. all of the above Please select the best answer from the choices provided A B C D

Answers

Johann Gutenberg can be said to be: a. inventor of the moveable printing press.

Who was Johann Gutenberg?Johannes Gensfleisch zur Laden zum Gutenberg was born in Germany in Mainz, Rhine-Main area. He was the youngest son of Friele Gensfleisch zur Laden, the patrician merchant.The German inventor and printer, Johann Gutenberg, is credited for introducing the mechanical movable-type printing press to Europe.

Therefore, Johann Gutenberg can be said to be: a. inventor of the moveable printing press.

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Johann Gutenberg was the inventor of the moveable printing press. The correct option is a.

What is printing press?

The tool used to print text and images on paper or other materials is called a printing press.

It is a mechanical device that transfers ink by exerting pressure to an inked surface that is resting on the print medium. One of the most significant discoveries in human history is the printing press.

The mechanical moveable type printing press, which Johann Gutenberg of Germany invented in the 15th century and is often credited with creating, revolutionised printing and increased public access to books and other printed materials.

He might have had talent in other artistic disciplines, but he is best remembered for his contributions to the printing industry.

Thus, the correct option is a.

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why does it take three turns of the calvin cycle to produce the initial product of photosynthesis?

Answers

Answer:

Explanation:

croe q e ops q

The length of pregnancies are normally distributed with a mean of 208 days and a standard deviation of 15 days a. Find the probability of a pregnancy lasting 308 days or longer, b. ll the length of pregnancy is in the lowest 3%, then the baby is
premature. Find the length that separates premature babies from those who are not premature.


a. The probability that a pregnancy wit last 308 days or longer is II
(Round to four decimal places as needed)

Answers

The required probability values using the normal distribution concept are :

P(X ≥ 308) = 0

Length seperating premature babies = 179.785 days.

Given the Parameters :

Mean, μ = 208Standard deviation, σ = 15

Recall : Zscore = [(X - μ) ÷ σ]

The probability of a pregnancy lasting 308 days or longer :

Zscore = (308 - 208) ÷ 15 = 6.667

P(Z ≥ 6.667) = 1 - P(Z ≤ 6.667)

Using a normal distribution table

P(Z ≤ 6.667) = 1

P(Z ≥ 6.667) = 1 - 1 = 0

The lowest 3% :

The Zscore corresponding to the lower 3% using the normal distribution table is :

P(Z < 0.03) ; Zscore = - 1.881

Calculate the value of X

Zscore = [(X - μ) ÷ σ]

-1.881 = (X - 208) / 15

-28.215 = X - 208

X = - 28.215 + 208

X = 179.785 days

Therefore, length of premature babies are less than or equal to 179.785 days (≤ 179.785 days)

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as a solution of copper sulfate slowly evaporates, beautiful blue crystals made of cu(ii) and sulfate ions form such that water molecules are trapped inside the crystals. the overall formula of the compound is cuso4 • 5h2o.

Answers

There are five molecules of the water of crystallization.

Mass of hydrated copper(II) sulfate CuSO4 · xH2O = 0.755 g

Mass of anhydrous copper(II) sulfate CuSO4 = 0.483 g

Molar mass of hydrated copper(II) sulfate CuSO4 · xH2O = (160 + 18x) g/mol

Molar mass of anhydrous copper(II) sulfate CuSO4 =160 g/mol

Number of moles of hydrated copper(II) sulfate CuSO4 · xH2O = Number of moles of anhydrous copper(II) sulfate CuSO4

Therefore;

0.755 g/(160 + 18x) g/mol  = 0.483 g/160 g/mol

0.755 * 160 = 0.483 (160 + 18x)

120.8 = 77.28 * 8.694x

120.8 - 77.28 = 8.694x

x = (120.8 - 77.28)/8.694

x = 5

The formula of the hydrated salt is CuSO4 · 5H2O.

Identify academic language used in this passage. Check the three best choices. ""romanticism"" ""often"" ""genre"" ""characters"" ""most""

Answers

Answer:Its Romanticism, Genre, and Characters

Explanation:

Answer: romanticism, genre, and characters

Explanation: just did these answers are correct hope this helps!

Use the drop-down menus to complete the sentences. are specifically listed in the US constitution. Unenumerated rights are protected by the Amendment.

Answers

Enumerated rights are specifically listed in the Constitution. Unenumerated rights are protected by the Ninth Amendment.

The Ninth Amendment clearly indicates that the list of rights listed in the Constitution is not exhaustive, and that the rights established in other sources remain valid regardless of whether they are mentioned in the Constitution.

Thus, it is understood that there are two types of rights: the enumerated rights, that are those explicitly mentioned in the Constitution, and on the other hand, the non-enumerated rights, that are those not named in the constitution but protected by the Ninth Amendment.

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Answer:

enumerated rights, ninth

Explanation:

Read the following scene from Trifles. MRS. HALE (resentfully). I don’t know as there’s anything so strange, our takin’ up our time with little things while we’re waiting for them to get the evidence. (She sits down at the big table, smoothing out a block with decision.) I don’t see as it’s anything to laugh about. MRS. PETERS. (apologetically). Of course they’ve got awful important things on their minds. (Pulls up a chair and joins Mrs. Hale at the table.) How would an audio recording most likely convey the characters’ emotions during this scene? with the act of Mrs. Peters joining Mrs. Hale at the table with a close-up on each woman’s face with a change in each character’s tone of voice with the sound effect of a chair sliding across the floor

Answers

Answer:

C: With a change in each character’s tone of voice

Explanation:

An audio recording that most likely conveys the characters’ emotions during this scene is a change in each character’s tone of voice. The correct option is c.

What are Trifles?

The drama is partially inspired by the murder of John Hossack, whom Glaspell covered while a reporter for the Des Moines Daily News. Margaret Hossack, Hossack's wife, stated to the authorities on December 2, 1900, that an unknown individual broke into their home and murdered John with an axe while she slept next to him.

"Trifles," written in the early 1900s, deals with the rights, expectations, and assumptions about women in society at the time. In an ironic twist, the viewer is aware that the women have solved the murder mystery. The tone of the character conveys the emotions of the play, as the tone implies behavior and emotions.

Therefore, the correct option is c. with a change in each character’s tone of voice.

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Since slope is calculated using the formula m = StartFraction v 2 minus v 1 Over x 2 minus x 1 EndFraction, the slope of both lines is equivalent to ________. It is given that the lines are parallel, and we calculated that the slopes are the same. Therefore, parallel lines have the same slopes. StartFraction v minus z Over w minus x EndFraction StartFraction w minus x Over v minus Z EndFraction StartFraction v minus z b Over x minus z a EndFraction StartFraction w minus x a Over v minus z b EndFraction

Answers

Answer:

Being equivelent gives them paralell lines on a graph.

Explanation:

They cross the same slope

identify at least five (5) pure substances found in nature in the supermarket

Answers

The building itself, shelfs, carts, bottles, and boxes

which statement describes one way that religion led to the formation of diverse communities in the english colonies?

Answers

Answer: Option A: Puritans established a colony in Massachusetts; critics of Puritan leadership later left to start their own colonies.

Explanation: I got it right

A Venn diagram can be used to compare and contrast nucleic acids. A diagram shows 2 overlapping circles labeled R N A and D N A. R N A is labeled A, D N A is C, and the area of overlap is B. Which characteristic would be correctly found in B? contain ribose consist of two strands made of nucleotides have an R group

Answers

Answer:its c

Explanation:thank me later

Answer:

C

Explanation:

The one above me is right.

An online store sold a gift basket at five different prices and recorded the number of gift baskets that were sold at each price. The results are shown in the scatterplot. A graph titled Price versus Gift Baskets Sold has Price (dollars) on the x-axis, and Gift Baskets Sold on the y-axis. Points are at (40, 89), (45, 80), (52, 80), (65, 60), and (83, 50). Which statement is correct based on the scatterplot? There is no relationship between price and gift baskets sold because the points do not form a straight line. There is no relationship between price and gift baskets sold because there are multiple prices at which 80 gift baskets were sold. There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold increases. There is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.

Answers

Answer:

D

Explanation:

I believe that the answer would be D, there is a relationship between price and gift baskets sold, and the relationship is that as the price increases, the gift baskets sold decreases.  

Despite the fact that there is an outlier, the point representing the 80 gift baskets sold at $52, there is still a pattern which shows that as the price of the baskets increases, the number of sales decreases based on the other points.

Answer:

Answer is d

Explanation:

:)

Which statement represents the key difference between the Court’s view of equal access in Plessy and its view in Regents? The Court shifted from opposing legal segregation to supporting it. The Court shifted from saying that segregation was legal to saying that any laws made based on race would be subject to careful judicial scrutiny. The Court shifted from arguing that African Americans were entitled to legal protection to arguing that they were not. The Court shifted from actively discouraging racial segregation to actively encouraging it.

Answers

Answer:

The answer is B "The Court shifted from saying that segregation was legal to saying that any laws made based on race would be subject to careful judicial scrutiny."

Explanation:

Taking the assignment right now and got it right.

The statement that represents the key difference between the Court’s view is the Court shifted from saying that segregation was legal to say that any laws made based on race would be subject to careful judicial scrutiny. The correct option is b.

What is a court?

Plessy v. Ferguson was a landmark 1896 Supreme Court decision that upheld the legality of racial segregation under the "separate but equal" principle. The case began in 1892, when African-American railroad traveler Homer Plessy refused to ride in a vehicle reserved for blacks.

The Supreme Court rejected Plessy's claim that his protected rights were violated, ruling that legislation that "implies only a juridical disparity" between whites and blacks was not unlawful. As a result, Jim Crow laws and segregated open lodging based on race became popular.

Therefore, the correct option is b.

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How did Martin Luther start the Protestant Reformation? by giving a speech in a square in a small town by handing churchgoers fliers during a service by writing a list of grievances about the Church by printing his beliefs in a newspaper in Wittenburg

Answers

Answer:

by writing a list of grievances about the Church

Explanation:

took the quiz

Mr Martin Luther started the Protestant Reformation by writing a list of grievances about the Church.

What is Protestant Reformation?

Protestant Reformation refers to a religious reform movement that happened through the Europe in the 1500s

Martin Luther believed that the Bible is the central source of religious authority, that salvation is reached through faith and this shaped the core of Protestantism.

Hence, Mr Martin Luther started the Protestant Reformation by writing a list of grievances about the Church.

Therefore, the Option C is correct.

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Which of the following expressions are equivalent to this expression: –1(0) = ? –1[4 (–4)] –1[4 (4)] 1 [4 (–4)] –1[-4 (–4)]

Answers

Answer: A) –1[4 + (–4)]

Answer: A A A

Explanation:

Why is it important to have media coverage of government elections? It may be the only accessible source of information on the issues and candidates for a particular group of people. It helps people have a comprehensive understanding of all of the issues. It introduces the public to only the candidates who have the best chance of winning. It encourages people to vote for the right candidate based on the media’s informed opinions.

Answers

Media coverage of an election involves the use of several mass media options in reporting the state of events during the electoral or voting process. Hence, it allows people to have comprehensive understanding of all the issues during the process.

Media usage involves televisions, radio and various news and blogging agencies reporting and keeping the masses informed in the state of events in the electoral process.

Coverage allows the masses to have a comprehensive understanding of the issues arising during the election process.

The aim of media coverage is not to introduce bias or manipulate the electoral process.

Therefore, the importance of media coverage is to allow people have a comprehensive understanding of all issues.

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Answer: A

Explanation:

edge 100%

calculate the frequency in hertz of electromagnetic radiation that has a wavelength of 720.0 nm. (c = 3.00 x 10⁸ m/s)

Answers

Considering the definition of wavelenght, frecuency and propagation speed,  the frequency of the electromagnetic radiation that has a wavelength of 720.0 nm is 4.167×10¹⁴ Hz.

In a periodic wave the wavelength (λ) is the physical distance between two points from which the wave repeats itself. It is expressed in units of length (m).

The frequency (f) is a measure of the number of cycles or repetitions of the wave per unit of time. Its unit is s⁻¹ or hertz (Hz).

The propagation speed is the speed with which the wave propagates in the medium, that is, it is the magnitude that measures the speed at which the wave's disturbance propagates along its displacement. Relate the wavelength (λ) and the frequency (f) inversely proportional using the following equation:

v = f×λ

In this case, you know:

v=c= 3×10⁸ m/sf= ?λ= 720 nm= 720×10⁻⁹ m

Replacing in the definition of propagation speed:

3×10⁸ m/s= f × 720×10⁻⁹ m

Solving:

3×10⁸ m/s÷ 720×10⁻⁹ m= f

4.167×10¹⁴ Hz= f

Finally, the frequency of the electromagnetic radiation that has a wavelength of 720.0 nm is 4.167×10¹⁴ Hz.

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When applying for a job, you should not _____. a. dress appropriately b. project confidence c. use slang d. have references ready

Answers

the answer is : c. use slang

which of the following is true about natural steroids

Answers

Answer:

natural steroids are compounds that mimic the steroids that human bodies naturally produce, such as the hormones testosterone, progesterone, and cortisol

Explanation:

They are safe substitutes for anabolic is true about natural steroids. Hence, option B is correct.

What is meant by natural steroids?

Natural steroids, which can be found in plants, herbs, and other natural sources, are chemicals that resemble human hormones or steroids. In the body, natural steroid proponents claim their medications behave similarly to anabolic steroids. These are compounds that help to increase testosterone synthesis and support the development and repair of muscle.

The natural steroid hormones are normally produced from cholesterol by the gonads and adrenal glands. The hormones in these forms are lipids.

A number of physiological functions, including the immune system's response to stress, the metabolism of proteins and carbohydrates, blood electrolyte levels, the regulation of inflammation, and behavior, are influenced by natural steroids.

Thus, option B is correct.

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The options are missing-

A) They are illegal to use in most sports

B) They are safe substitutes for anabolics

C)They do not work better than high protein foods

D)They will bulk up muscles just like anabolics

Which South American revolutionary had a country named for him? Question 6 options: Simon Bolivar Jose De San Martin Bob Argentina Napoleon Bonaparte

Answers

Answer:

Simón Bolívar was a Venezuelan soldier and statesman who played a central role in the South American independence movement. Bolívar served as president of Gran Colombia (1819–30) and as dictator of Peru (1823–26). The country of Bolivia is named for him.

Explanation:

hope this helps if not sorry :)

Answer:

It is Simón Bolíva

Explanation:

I got this answer right IM SMART :P

determine the x- and y-intercepts of the graph of x + 3y = 9 . then plot the intercepts to graph the equation.

Answers

Answer:

the x-intercept is (9,0) and the y-intercept is (0,3)

then you must plot them

Explanation:

x-intercept is when y=0

y-intercept is when x=0

the function below takes one parameter: a list of strings (string_list). complete the function so that it prints out each string on a separate line.

Answers

The required program which prints each letter of a string on a Seperate line written in python 3 is as follows :

def strings(string_list):

#initialize a function named strings which takes in one parameter.

for i in sl :

#the for loop iterates through each letter in the parameter passed into the function

print(i)

#display each letter of the string.

The function can be called using the example below and the output ia also attached.

strings(cup)

Hence, the program.

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How did the philosophers of the Enlightenment view the relationship between government and the governed? as mutually beneficial for people and government as more beneficial to the government as more beneficial to the people governed as not at all beneficial to either group

Answers

Answer:

A) as mutually beneficial for people and government

Explanation:

Answer:

as mutually beneficial for people and government

Explanation:

just took the test

Montesquieu believed that government power should be divided between different branches, much like the executive, legislative, and judicial branches in the United States. He believed that this division promoted liberty and justice. What else does the separation of powers do? It provides each branch with its own powers and responsibilities. It prevents a branch from overpowering another branch. It ensures there is no overlap between the work of the branches. It facilitates cooperation between the branches.

Answers

Answer: A) it provides each brand with its own powers and responsibilities

Explanation: got it right on edge :)

Answer:

A.) It provides each branch with its own powers and responsibilities.

Explanation:

What influenced Mia’s decisions about sunscreen and sun exposure? Check all that apply. Mia chose to get a tan because she thought she looked better with one. Mia was unaware that sun exposure causes cancer. Most of Mia’s friends also went tanning. Mia’s cancer diagnosis convinced her to stop tanning. Many of the celebrities Mia admired had tanned skin. Mia did not think that tanning was risky.

Answers

Answer:A,C,E,F

Explanation:

The things that influenced Mia's decisions about Sunscreen and Sun exposure are; A, C, E, F

What can Influence a decision?

The things that influenced Mia's decisions about Sunscreen and Sun exposure are;

- Mia chose to get a tan because she thought she looked better with one.

- Most of mia’s friends also went tanning.

- Many of the celebrities Mia admired had tanned skin.

- Mia did not think tanning was risky.

In conclusion, the correct options are Options A, C, E and F

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Read the passage. I lazily flipped through the pages of my textbook and yawned. "Too bad I can’t be more like my brother," I thought. He is very studious and a bit of a perfectionist, and he’s always anxious to learn new things. It’s hard to believe that anyone can be that focused. But me? Well, that’s a different story. I am much more likely to spend my time daydreaming. Which phrase from the passage is an example of indirect characterization? a bit of a perfectionist anxious to learn new things can be that focused lazily flipped through the pages

Answers

Answer:

its d

Explanation:

Answer:

Your answer is D.

Explanation:

In the early 1600s, English colonists in Jamestown based their laws and government on Spanish customs. English customs. Powhatan customs. Plymouth Plantation customs.

Answers

In the early 1600s, English colonists in Jamestown based their laws and government on

B. English customs.

The English colony in Jamestown was established in the year 1607 and this was purely based on English customs as the name of the colony was named after the King of England.

Furthermore, they made their choice based on the geography of the place which offered them a route to trade through the rivers and also high grounds that they could get to in case they were attacked.

Therefore, the correct answer is option B

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Answer:

B

Explanation:

;)

Which of the following is a product of cellular respiration? Carbon dioxide Glucose Mitochondria Oxygen

Answers

Answer:

Carbon Dioxide

Explanation:

It is the only one that is a product of cellular respiration

The product of cellular respiration is carbon dioxide. The correct option is A.

What is cellular respiration?

Cellular respiration is a type of chemical reaction that disintegrate glucose to generate Energy, which can be utilized as energy to power numerous reactions all through body.

Cellular respiration is comprised of three major steps: glycolysis, the citric acid cycle, and oxidative phosphorylation.

The mitochondrial energy is stored as potential energy in compounds adenosine triphosphate (ATP). The main compound generated in cellular respiration is ATP, with carbon dioxide as a byproduct.

The common measure in which the energy released during respiration is stored is ATP.

While most aerobic respiration occurs in the cell's mitochondria, anaerobic respiration occurs in the cell's cytoplasm.

Thus, the correct option is A.

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The following question is based on your reading of 1984 by George Orwell. How are Winston’s actions thoughtcrime?

Answers

Answer:

His actions are considered thoughtcrime because he is expressing his thoughts of rebellion in his journal

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An element with three valence electrons would most likely be aA. MetalB. noble gasC. non metalD. metalloid In the equation 3x - 5 = 22,where "x is the cost of a sandwich"Diana said that "the sandwich cost $9."Victor's answer is $5.Who is right? Support your claim with math evidence or reasoning. in which year did the industrial revolution begin in england with the invention of the steam engine? Estimate to decide if the sum of 314+175 is more or less than 600? please try to help answer and explain pls B is between A and C. C is between B and D. If BC = 45 and CD is 20. If AB = CD, what is the measure of AD? AD = The following entries appear in a cash account in March. $ Payments by customers 15,000 Rents received 250 Insurance paid 150 Drawings 700 Capital paid in 2,000 The balance at 1st March was $2,000 (in hand) what was the closing balance at 31st March? What are Kings major criticisms of The Church? the prominence on the inferior side of the sternal end of the clavicle is called the Find the ratio 45 sec to 1 min Twenty decreased by 2 times anumber is the same as 10 lessthan 3 times the number. geologists can find the actual age of features on a world by Point R is located at 8,13 where is R after a translation 8 units left and 6 units down during her recent performance appraisal, veasna learned that her manager thinks she has a good attitude and emerging leadership potential. veasnas manager seems to be using a _____ appraisal. URGENT JUST THE FIRST QUESTION 9. These particular machines can be decentralized.A) Risograph B) PhotocopierC) Desktop computer D) Printers__and__?? What role does tRNA play in the translation process? (1 point)O tRNA bonds the amino acids together to then form proteins.O tRNA converts DNA into mRNA.o tRNA carries amino acids to the ribosome and helps form proteins.O tRNA holds the "stop" codon to alert ribosomes to end protein production. Hello therei am looking for some quick help on this question thank you.Liquid B has a mass of 75 g and a volume of 25 ml. What is liquid B's density?1: .33 g/ml2: 3 g/ml3: 75 g4: 25 mli will give brainliest if able to. 8. Melody subscribes to a coffee service. For $10 a month, Melody is able to purchase a cup of coffee for thediscounted price of $2 for each cup. This situation can be modeled by the function f(x) = 2x+10, where xrepresents the number of cups of coffee Melody can purchase. This membership caps the number of cups ofcoffee that can be purchased each month at 6.(D)Which answer choices best describe the domain and range of f?Choose TWO correct answers from the 5 choices.The range of the function is 102y 2:22.The domain of the function is 02 x 6. (S-V)E- = (-)5 noitsupe er zelam v to oulev derW.AThe domain of the function is (10, 12, 14, 16, 18, 20, 22).MOThe range of the function is {10, 12, 14, 16, 18, 20, 22}a e Av brex noswiad girlanousion seri seworla data Michek Company loans Sarasota Company $2,000,000 at 6% for 3 years on January 1, 2020. Michek intends to hold this loan to maturity and has the financial ability to do so. The fair value of the loan at the end of each reporting period is as follows. December 31, 2020 $2,050,000 December 31, 2021 2,020,000 December 31, 2022 2,000,000 Prepare the journal entry(ies) at December 31, 2020, and December 31, 2022, for Michek related to these bonds, assuming (a) it does not use the fair value option, and (b) it uses the fair value option. Interest is paid on January 1.