Which are the solutions of the equation 3x^3-6x^2=x-2?
- MATH
Which are the solutions of the equation 3x^3-6x^2=x-2?
3x^3-6x^2=x-2 Let us move all terms to the left side: ==> 3x^3-6x^2-x+2 =0 ==> (3x^3-6x^2)-(x-2)=0 Now factor 3x^2 3x^2(x-2) -(x-2)=0 Now factor (x-2): ==> (x-2)(3x^2-1)=0 ==> (x-2)=0…
1 educator answer
- GRAMMAR
“He is vexed ____ me.” Fill in with the suitable preposition.
In my opinion, there are two prepositions that could be used to complete this sentence. You could use “with” or you could use “at.” So the sentences would be He is vexed with me. He is vexed at…
3 educator answers
- LITERATURE
How does literature reflect communities?how literature reflects communities
I think that literature helps to explore the values and ideals held by a particular community. Literature usually takes place within the cultural vacuum of one’s own social setting. For it to…
2 educator answers
- MATH
Solve the system using 2 methods. x+2y=6 2x+6y=8
x+2y=6…(1) 2x+6y=8…..(2) First let us multiply (1) with -2 and add to (2) -2x-4y=-12 2x+6y=8 ==> 2y=-4 ==> y=-2 ==> x= 6-2y = 6-2(-2)= 6+4=10
1 educator answer
- MATH
Prove that (cot x + tan x)(1/sec x + 1/cosec x)= cosec x + sec x.
cotx+tanx)(1/sec x +1/cosec x) = cosec+sec x We know that cot= cos/sin sec=1/cos and cosec=1/sin Now substitute: (cosx/sinx + sin/cos)(cox + sin x) = (cosx)^2+(sinx)^2/(sinx cosx ) (cos x+sinx)…
1 educator answer
- SONNET 18
Please explain the last two lines of “Sonnet 18” by William shakespeare.
What the last two lines of this sonnet mean is that Shakespeare is bragging about the importance of his work and of this poem in particular. In the rest of the poem, he has talked about (among…
1 educator answer
- MOTHER COURAGE AND HER CHILDREN
“Life’s but a walking shadow …/ …It is a tale / Told by an idiot, full of sound and fury, /…
This is a very difficult question, involving the radically different merits of Shakespeare and Brecht. The lines quoted occur at the end of Shakespeare’s Macbeth in what is his anagnorisis-speech…
- THE GREAT GATSBY
Discuss how the theme of wealth and poverty plays an important role in The Great Gatsby?plz…
I think that you can obtain some broad strokes for an essay that you compose via participation in this forum. In terms of the topic, I think that wealth and poverty play a very large role in the…
5 educator answers
- HISTORY
What is the importance of African American Soldiers fighting in the Civil War?I am not looking…
I guess that the best argument to make is that African American soldiers helped give their race credibility by fighting in the Civil War. Because they participated, they did not have to say (and…
4 educator answers
- MATH
Verify if it’s true!y=x-(1/x) is a solution of the differential equation x*y’ + y=2x.
y=x-(1/x) is asolution of: x*y’+y=2x ==> y= 2x-x*y’ First let us find y’ y’= 1+(1/x^2) Now: x*y’+y= 2x ==> x(1+1/x^2) + 1-1/x =2x ==> x+ 1/x +1 – 1/x =2x ==> x+1 =2x ==> x=1 We…
1 educator answer
- MATH
Prove that every member of the family functions y=(1+c*e^t)/(1-c*e^t) is a solution of the…
y= 1+ce^t / 1-ce^t or y = u/v ==> y’= u’v-uv’ / v^2 y’= (ce^t)(1-ce^t)-(-ce^t)(1+ce^t)/ (1-ce^t)^2 = ce^t -(c^2)e^2t +ce^t -(c^2)e^2t / (1-ce^t)^2 = 2ce^t -2(c^2)et^2t /…
1 educator answer
- THE CASK OF AMONTILLADO
According to David Punter in ‘The Literature of Terror’, the last line of the story is ‘The peace…
I have researched this as well, and cannot find any other reference for this as the last line of the short story. An excellent source that has all known versions of the tale may be found at the…
1 educator answer
- MATH
Solve the equation n! + (n+1)! = (n+2)!.
n! + (n+1)! = (n+2)! Let us rewrite: n!+ (n+1)n! = (n+2)(n+1)n! Factorize n! n!(1+n+1) = (n+2)(n+1)n! Divide by n! ==> n+2 = (n+2)(n+1) No divide by (n+2) ==> 1= n+1 ==> n = 0 to verify…
1 educator answer
- SCIENCE
If you cut like your foot do you need a tetanus shot?
Tetanus is a disease that is most often associated with rust (like rusty nails) – but actually it is caused by bacteria – Clostridium tetani. It is just that the bacteria causing tetanus is most…
3 educator answers
- MATH
If (x2-1) is factor of ax4+bx3+cx2+dx+e, show that a+b+c+d+e=0 and a+c+e=b+d
I suppose you mean: x^2-1 is a factor for ax^4+bx^3+cx^2+d^x+e show that: 1) a+b+c+d+e=0 X^2-1 is a factor means that x^2-1 zero are the function’s zeros too. x^2-1=0 ==> x1= 1 x2=-1 Now by…
1 educator answer
- ARTS
In the dylan’s poem “blowing in the wind”,what does this line mean by-“how many times must…
First of all, great song. Be blessed to know you have a cool English teacher for using this song in class as poetry analysis. The song was first performed in 1962 and the lyrics are categorized by…
1 educator answer
- TO KILL A MOCKINGBIRD
In what way is Atticus optimistic?
Atticus shows optimism in a few parts of the story. The most obvious of course is the way in which he defends Tom Robinson. He puts everything he has into it – perhaps not assuming he will win,…
2 educator answers
- SCIENCE
What give our bones their white color?
The bones in the human body as well as that of all other vertebrates are made primarily from calcium, or to be more specific calcium phosphates. Have you noticed when you see an ad on television…
1 educator answer
- SCIENCE
What causes congestion after eating and is this a concern?After eating a meal, regardless of…
The congestion may be due to a condition called vasomotor rhinitis. In this condition the sufferer displays symptoms such as a runny nose, nasal congestion, and sneezing. This is a nonallergic…
1 educator answer
- LITERATURE
Do script and audience interact in drama in the same way as texts and readers?
Script and audience interact in drama in the way texts and readers interact in novels. ( I am assuming the last part of that statement). This statement is both true and untrue. First of all, the…
1 educator answer
- INTO THE WILD
Chris rejects many of the things that he is told that he should want out of life Identify the…
In my mind, Chris is looking to find opportunities to test himself, to prove that he is capable of taking care of himself and finding more and more ways to learn skills that are vital to that…
2 educator answers
- SCIENCE
Cirrhosis of the liver will do what?
Cirrhosis of the liver is a dreaded disease with a high rate of mortality and morbidity in this country. Etiology is liver scarring and dysfunction from hepatic failure. Hepatitis C and chronic…
1 educator answer
- LITERATURE
Please comment on the following statement: Script and audience interact in drama in the same way…
There are a few things to consider. In drama, the script reveals the story, but the script consists of dialogue, stage directions, etc. Also, the dialogue must be memorized and delivered by the…
1 educator answer
- THE GREAT GATSBY
How is crime in the 1920s reflected in The Great Gatsby?I have read the book and I don’t see how…
Crime in the 1920’s is not overtly stated in The Great Gatsby, but it is certainly there in the backdrop. The character Meyer Wolfsheim with whom Gatsby does business is representative of crime….
3 educator answers
- SCIENCE
If I injured my ankle playing basketball, did I sprain it or strain it? Is this different?
Your ankle injury could involve both a strain and a sprain. A strain is an injury to the muscle (body of the muscle), or to the attachment of a tendon. Strains are commonly seen in “overuse”…
1 educator answer
- SOCIAL SCIENCES
Who do you believe is more responsible for poverty; the poor of society?Please explain, in deeper…
In my opinion, it is society that is more responsible for poverty than the poor people themselves. That is not to say that the poor have no responsibility for their problems. However, I do…
5 educator answers
- MATH
Find the square root of :- a + b + sqrt(2ab + b^2)
Let sqrt{a+b+sqrt(2ab+b^2) = sqrtx + sqrty. ,where a,b,x any are rationals. squaring both sides we get: a+b+sqrt(2ab+b^2) = x+y+2sqrt(xy). Equating the rationa parts, we get: x+y =…
- NIGHT
On page 90: His dad’s smile: “what world did it come from?” what does Elie mean by this? Why is…
The concept of being able to generate a smile during the most horrific of conditions might be a statement that Wiesel is making about what it means to be human. One of the most striking things…
1 educator answer
- SOCIAL SCIENCES
What problems could occur by removing one type of tax?us government
If we are looking at the US federal government, then by far the largest tax is the income tax. If this tax were removed, there would be major implications, even if it were to be replaced by some…
4 educator answers
- SAKI
I need a good, long explanation for Dusk. PARAPHRASING
A more specific question would help you to get a better answer… This is the story of Norman Gortsby. He is sitting on a park bench next to a bum. The bum leaves and another man comes up and…
1 educator answer
- THE TELL-TALE HEART
What state is the narrator in at the start of the story?
The narrator, speaking from second person POV, claims that he is “not mad.” Dreadfully nervous, he says, but not mad. This is a ruse. He is hoping that his claims of madness will, indeed, make…
1 educator answer
- SCIENCE
Why would some genetic diseases develop their phenotypes long after birth? Wouldn’t the lethal…
If the disease does not have bad effects until later in life, not only won’t it cause problems at birth, but it can cause problems for several generations. The example I am thinking of is…
1 educator answer
- LAW AND POLITICS
The constitutionality of road blocks have been challenged and the court’s have ruled in the affirmative. Road blocks are slightly different from random stops. Police officers can not stop a…
1 educator answer
- SCIENCE
The brain stops working at the time of death. But certain organs keeps on working for sometime…
When mammals die the heart quits beating, this effectively halts the blood from circulating throughout the body. Brain waves also cease as does the respiratory process, you quit breathing. When you…
1 educator answer
- SOCIAL SCIENCES
how do modern trends favor the solution of social issues ?how do modern trends favor the solution…
Well, you have a very vague question, so I can only make some assumptions, give you some examples and hope they help you. By “modern trends” I am going to assume that you mean either new technology…
2 educator answers
- HISTORY
What does internationalism mean? When and why did it originate? Why is it important? Thank you…
Internationalism is defined more or less (there are different definitions, with different nuances) as the idea that countries should work together to solve and prevent problems that arise in the…
1 educator answer
- LORD OF THE FLIES
In Lord of the Flies, describe the confrontation which takes place between Ralph and Jack in…
I assume that you are talking about the confrontation that takes place between the two of them at the meeting in this chapter. At this point, Samneric have seen the dead parachutist and have…
2 educator answers
- ROMEO AND JULIET
Who is the protagonist of the story, Romeo or Juliet?Consider who acts more maturely and who…
The majority of the action seems centered on Romeo. He persues Juliet, kills Tybalt, is banished, comes back to find Juliet dead, etc. If you were talking strictly protagonist by amount of story…
2 educator answers
- HISTORY
To what extent should nationalism be pursued? Use historical or current case studies that support…
I guess my answer would be “some, but not too much.” It is very bad if a country gets to be too nationalistic. This can result in really bad thing, up to and beyond wars. Perhaps the clearest…
2 educator answers
- THE FRIENDS
I am interested in the video of this story, how can I get a copy to show to my class?
I did some research across several of the more comprehensive sites of videos and could find only one titled “The Friends”, and it is a British movie from 1966, earlier than the book was published….
1 educator answer
- MATH
solve the equation x^3+13x^2+32x+20
x^3+13x^2+32x+20 =0 To solve the equation, we will use the rational root test by looking at the constant term “20” and test for 1,-1,2,-2,… By testing -2 , we found it is a root, Then (x+2) is a…
1 educator answer
- E. CUMMINGS
In the poem, “There is a here and…,” is the essential meaning roughly parallel to the idea that…
I have always found this poem to be one of the more difficult cummings poems to figure out. With e. e. cummings, it is really important to look at the non-traditional way he uses words because…
1 educator answer
- MACBETH
What was the thematic significance of the three witches in Macbeth? In what other ways did they…
In Macbeth, the three witches represent the elements of the supernatural that were common during Elizabethan times. Moreover, the witches introduce the concept of fate and destiny into the play….
3 educator answers
- BUSINESS
Do you think there is really a glass ceiling in corporations?Do you think there is really a glass…
To me, this depends on how you define “glass ceiling.” (I assume that you are talking about a glass ceiling for women here…) It is clear that women are underrepresented in the highest levels of…
2 educator answers
- AN ASTROLOGER’S DAY
BRIEF ACCOUNT OF THE CHARACTER OF THE ASTROLOGER AS PORTRAYED BY R.K.NARAYAN IN HIS SHORT-STORY…
The astrologer is actually a fugitive on the run, he was involved in a drunken brawl, where he tried to kill his friend(guru nayak). He had taken astrology as a profession out of compulsion. He…
- HAMLET
In Hamlet, what are some distinctive qualities of Hamlet’s character other than his being overly…
Part of what creates a “thoughtful” Hamlet is his concern for morality in himself and others. He is overwhelmed by the lack of morality around him (his mother’s quick marriage to Claudius) and…
2 educator answers
- WUTHERING HEIGHTS
Please explain why Lockwood muses further that it would have been like a fairy tale if the…
In the very first chapter, Lockwood the narrator and now Heathcliff’s tenant at Thrushcross Grange tells us how he disappointed a pretty young girl by not proposing marriage to her after they had…
- SOCIAL SCIENCES
How does divorce effect..-parent/child relationship-the role of a parent and child-socalizaion of…
Of course, this varies greatly with the exact circumstances of the divorce. I think that the most usual impact is that the two parents end up somewhat in competition with one another. This really…
4 educator answers
- HISTORY
Please explain three foreign policy crises during 1790-1809 and explain why each was so…
1) Unresolved issues with Britain – while the war was over, and the Peace Treaty signed, tension and flashpoints still existed between us and England. There were still British troops in the Ohio…
1 educator answer
- SEVENTEEN SYLLABLES
what does Rosie’s mother make Rosie promise at the end of the story?i didn’t really understand…
Rosie’s mother, Tome, asks Rosie to never marry at the end of the story because of what happened in her own life. Tome ended up having a still-born child with her well-to-do lover and was all but…