Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

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Question 143486: (a-b)^5 is this possible?
Click here to see answer by stanbon(57214)

Question 143456: solve the proportion. check for extranious solutions.
2/6x+1 = 2x/1
thanks :)
Click here to see answer by edjones(7569)

Question 143547: Directions are to factor each polynomial. If the polynomial cannot be factored using integers, write prime.
36m^2+60mn+25n^2
Click here to see answer by jim_thompson5910(28476)

Question 143543: 4x2 + 34x + 42
Click here to see answer by jim_thompson5910(28476)

Question 143549: x^2-2xy-15y^2
x^2+x+1
5x^2+25x+30
x^2-xy-12y^2
Click here to see answer by jim_thompson5910(28476)

Question 143604: I need your help in Factoring this problem. It must be factored completely.
x^5y^3 - 9x^4y^2 + 20x^3y
I have tried, but I am coming up with an incorrect answer.
My answer: x^3y(x -x5)(x - 4)
= x^3y [(x0(x) - (x)(-4) - (-5)(x) + (-5)(-4)]
= x^3y(x^2) - (4x^2) - (5x^2) + 20
= x^5y - 9x^2 + 20
I am unsure of how to determine the Greatest common factor on this type of problem.
Click here to see answer by jim_thompson5910(28476)

Question 143680: This question is from University of Phoenix MathZone.
Simplify by removing factors of 1.
I believe I have the answer but I just wanted to check.
_P^2-16___
(p+4)^2
That is a division line between these two expressions.
I think to find the answer you factor each term.
The 1st term is: (p-4)(p+4)
The 2nd term is: (p+4)(P+4)
Remove the terms that equal 1 in the numerator & denomator, which leaves
___(p-4)___
(P+4)
Is this correct?
Click here to see answer by checkley77(12569)

Question 143681: This problem is from University of Phoenix MathZone.
Solve: (the following are fractions)
____X-1____ = ____6____
X-7 X-7
The think the first thing to do is multiply both sides by the LCD. But since the denominators are the same I don't know if I'm figuring this correctly.
I am coming up the with answer of x=5, but I'm not sure if that is right.
Click here to see answer by jim_thompson5910(28476)

Question 143656: i need help solving the equations and checking your solution
4/3x-6/x=-4
Click here to see answer by checkley77(12569)

Question 143734: This is a complex fraction. Instructions are to simplify.

Click here to see answer by Edwin McCravy(8879)

Question 143807: Directions are to solve i don't even no where to begin
Click here to see answer by checkley77(12569)

Question 143806: I need to solvethe equation 6/5 +3/2x = 7/15
I have tried multiplying both sides by 30x but end up with x=-45/22 or-2 1/22
Click here to see answer by checkley77(12569)

Question 143805: I need to solvethe equation 6/5 +3/2x = 7/15
I have tried multiplying both sides by 30x but end up with x=-45/22 or-2 1/22
Click here to see answer by checkley77(12569)

Question 143853: How do you factor the following problem?:
2x^ - 4x
Click here to see answer by jim_thompson5910(28476)

Question 143815: I need help solving the following for y in terms of x:

x = y^4 + y^2 + 1

I can't think of much that I can do to it that is useful. What I have considered is that:

x-1 = y^4 + y^2 = y^2(y^2 + 1)

and I could make a substitution u=y^2 so:

x-1 = u(u+1)

but again, I don't see the value in it if there is any. Perhaps it would help if I put this in context. This is from a calculus problem where I am to find dy/dx in terms of x. The idea is to find:

dx/dy = 1/[4y^3 + 2y] or [4y^3 + 2y]^(-1) and subsitute the y in terms of x which we solved above. As you can see, the difficult part is the algebra solving for y in terms of x. Any help would be much appreciated.

Greg
Click here to see answer by jim_thompson5910(28476)

Question 143941: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
y = -2x - 7

Click here to see answer by nabla(475)

Question 143944: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
2x + 3y = 9

Click here to see answer by nabla(475)

Question 143940: Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph.
y = x + 3
Click here to see answer by nabla(475)

Question 143938: A new virus is released on the internet; the administrator of a department's Local Area Network ( LAN) is given five minutes by a manager to estimate the impact. The administrator samples 12 of the PCs connected to the LAN, and finds that 7 are infected; use proportion to estimate the number of infected PCs if there are a total of 117 PCs connected to the LAN.
Click here to see answer by stanbon(57214)

Question 143939: An administrator of a popular web site is told that a new server can handle 11,000 "hits" (users accessing the site) per second. The web site currently experiences a peak demand of about 85,000 hits per second; but every month, the peak demand increases by 3500 hits per second. Use a proportion equation to determine how many new servers the administrator should buy to address expected traffic for the next 18 months.
Click here to see answer by stanbon(57214)

Question 143936: A lawyer bills her clients $250 per hour of service. If a client's case requires 47 hours to complete, use proportion to calculate how much the client will owe the lawyer (excluding tax).
Click here to see answer by josmiceli(9645)

Question 144035: 3x (cube)+ 24x + 45
I want to know how to solve for the factor.
Thank you
Click here to see answer by stanbon(57214)

Question 144088: I have a homework assignment, and I'm supposed to "factor the algebraic expressions completely." I've been able to figure out everything but one.
Here's the one giving me trouble:
x^8 - 1
I have no idea where to begin! Any help would be greatly appreciated.
Click here to see answer by stanbon(57214)

Question 144105: What is the difference between an equation and an expression?
Click here to see answer by nabla(475)

Question 144119: I'm having trouble factoring these algebraic expressions, the rest of my problems weren't bad, but I cannot figure these three out, any help would be appreciated. thanks.
6x^2 - 28x + 16
x^4 + 2x^3 - 3x - 6
x^8 - 1
Thanks.
Click here to see answer by stanbon(57214)

Question 144126: Find the difference of the polynomials below. Use the caret ( ^ ) to enter any exponents; for example, write x2 as x^2. Write your answer in descending order(x3 + 2x2 + 4x + 7) - (2x3 - 1.5x2 + 4x + 4)
Click here to see answer by stanbon(57214)

Question 144180: 4/x
______
3- 1/x
In case it is hard to read...the problem is four over x over three minus one over x. My book says the answer is four over three x minus one but i am having difficulty reaching that answer.
Click here to see answer by stanbon(57214)

Question 144191: Please help me with this question?
How can I best describe this?
Click here to see answer by jim_thompson5910(28476)

Question 144145: Please help with this problem: I need to find the radius of a circle when the diameter is
I think you meant that's the area. The radius would be , which is (4x+3)
Click here to see answer by Alan3354(30955)

Question 144219: can someone tell me the answer to
factor: 3x2-19x-40 (i think you'd say 3xsquared(the 2 is up higher)
and
factor: 9x2-12x+4 (i think you'd say 3xsquared(the 2 is up higher)
i've been trying for hours, i just don't get it and it's 3am and i need to be up in 3 hours
Click here to see answer by ankor@dixie-net.com(15623)

Question 144224: Please help me solve 9x square/8y square divided by 3x/16y to the 9th power.
The answer is 6x to the 4th y to the 7th. I got 6xy to the seventh.
Click here to see answer by stanbon(57214)

Question 144278: Please help me solve: There are 50 dimes in a roll of dimes, 40 nickles in a rold of nickels, and 40 quarters in a roll of quarters. Robert has a total of 12 rolls of coins wiht the total value of $70. If he has 3 more rolls of nickles than dimes, how many of each roll of coins does he have?
Click here to see answer by Alan3354(30955)

Question 144288: Solve by completing the square.
x^2 + 6x + 2 = 0
Click here to see answer by Earlsdon(6287)

Question 144399: Please help me solve and understand this homework problem:
Find and simplify P(a+h)-P(a) given P(x)= x square - 3x.
I'm coming up with h square - 2ah - 3a. Is this correct?
Click here to see answer by vleith(2825)

Question 144412: f(x)=2 - x^2 THe question says; determine the leading term, the leading coefficient, and the degree of the polynomial. Then classify the polynomial as constant, linear, quadradic, cubic, and quartic. I am very confised on the whole problem. I am taking an online class and the teacher is useless.
Click here to see answer by nabla(475)

Question 144452: x+3 x
---------- x ---------
x^3-x^2-6x x^2-9
Click here to see answer by jim_thompson5910(28476)

Question 144451: x^2 x^2+x-2
---- x --------
x-1 x
Click here to see answer by jim_thompson5910(28476)

Question 144447: 12x-4 4x
----- + ---
x-1 x-1
Click here to see answer by jim_thompson5910(28476)

Question 144441: x^3+x^2 x+4
------- . -------------
x^2-16 3x^4+x^3-2x^2
Click here to see answer by jim_thompson5910(28476)

Question 144450: 6(2y+1) 2(5y-7)
-------- - ---------
y^2-100 y^2-100
Click here to see answer by solver91311(16868)

Question 144036: Not sure if this is the appropriate topic
Directions says to solve
x minus 1 over x divided by x plus 1 minus 2 over x all equals 1
x-__1__
x
_____________=1
x+1 - __2__
x
Click here to see answer by solver91311(16868)

Question 144444: 3x^2-6x x^2-x-6
------- . ----------
x^2-6x+9 x^2-4
Click here to see answer by ankor@dixie-net.com(15623)

Question 144503: Factor the polynomial completely:
(2x+3)^3 - 64

Click here to see answer by vleith(2825)

Question 144503: Factor the polynomial completely:
(2x+3)^3 - 64

Click here to see answer by jim_thompson5910(28476)

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