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

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Question 44498: I do not understand the word problem. Is there someone that can help me?
Business and Finance:
The price of an item is given by p = 2x to the power of 2 - 100.
Find the polynomial that represents the revenue generated from the sale of x items.
Click here to see answer by stanbon(26259)

Question 44594: Solve and check each of the following equations for x.
x/6 - x/8 = 1
Thank You!!!
Click here to see answer by josmiceli(3003)

Question 44618: what is the solution to (x-y)(x+y)
Click here to see answer by Nate(3495)

Question 44619: How do I solve an unlike rational expression?
I need to solve:
9/x-5 minus 1=8/x+5
here is what I have so far
(x+5)(x-5)9/x-5 minus 1(x+5)(x-5)=8/x+5 (x+5)(x-5)
this gives me 7x+45=8x-40 so x=85
If I try and plug this back into the equation, it doesn't seem to equate properly. what did I do wrong? Thanks!
Click here to see answer by stanbon(26259)

Question 44620: z³-7z²+6z
Click here to see answer by checkley71(8405)

Question 44620: z³-7z²+6z
Click here to see answer by stanbon(26259)

Question 44592: Solve each of the following equations for x.
2/5= x - 2/20
Thank You!!!
Click here to see answer by checkley71(8405)

Question 44633: Simplify the rational expression:
a^2+11a+30
a^2-4a-45
Click here to see answer by stanbon(26259)

Question 44634: perform the indicated division:
2x^2-x-12
x-2
Click here to see answer by stanbon(26259)

Question 44651This question is from textbook

: Find the vertical asymptote of the rational function f(x)=3x-12/4x-2.
Thanks.This question is from textbook

Click here to see answer by adamchapman(301)

Question 44676: Factor the polynomial completely.

Click here to see answer by tutorcecilia(2042)

Question 44675: Factor the polynomial completely.

Click here to see answer by tutorcecilia(2042)

Question 44690: Solve and check each equation for x
x/x-2 - x+1/x = 8/x^2-2x
Thank You!!!
Click here to see answer by stanbon(26259)

Question 44733: Hello:
This is a very simple question but I am very new to algebra.
3x + 2 = x/6
I am to solve for x
Thank you in advance for your help.

Click here to see answer by adamchapman(301)

Question 44734: Hello:
I am very new to algebra. I am just beginning to understand how to simplify equations. However, for the following one I just don't understand how to begin.
Any help would be greatly appreciated. You don't have to solve it for me but just a little help understanding how to approach it would be great.
12x^3 - 2x / 6x
Thank you
Click here to see answer by adamchapman(301)

Question 44717: I don't understand this problem....Please help explain this one.
Geometry: The area of a rectangle of length x is given by 3x^2 + 5x. Find the width of the rectangle.
Click here to see answer by adamchapman(301)

Question 44757: Hello, I need help factoring 2x^2-2x-40
Thanks!
Click here to see answer by Nate(3495)

Question 44590: Simplify each complex fraction

w + 3/4w/w -3/2w
Thank You!!!
Click here to see answer by OHtutor(16)

Question 44764: I am stuck on this one...I need to make sure my answer is correct.
25x^2-81y^2
Click here to see answer by OHtutor(16)

Question 44791: Not sure what book this comes from. Please help.
Given P(x)=x^2-4x, find and simplify P(a+h)-P(a).
I get (x+2)(x-2). I think I'm supposed to substitute something somewhere. How do I work this? Thank you!
Click here to see answer by stanbon(26259)

Question 44785: This is a long division problem that I'm having trouble with. I've tried to follow the book, but can't seem to solve it correctly....please help! Thank you.
Perform the indicated division...
(5n^4+28n^3-10n^2+196n-315)divided by (n^2+7)
Click here to see answer by aaaaaaaa(138)

Question 44816This question is from textbook ALGEBRA and TRIGONOMETRY

: Find the quotient and remainder of f(x)=x^4-2 divided by p(x)=x-1.This question is from textbook ALGEBRA and TRIGONOMETRY

Click here to see answer by Nate(3495)

Question 44650This question is from textbook

: Find the polynomial f(x) of degree three that zeroes at 1, 2, and 4 such that f(0)=-16.
Thank you!This question is from textbook

Click here to see answer by adamchapman(301)

Question 44650This question is from textbook

: Find the polynomial f(x) of degree three that zeroes at 1, 2, and 4 such that f(0)=-16.
Thank you!This question is from textbook

Click here to see answer by Nate(3495)

Question 44815This question is from textbook ALGEBRA and TRIGONOMETRY

: If f(x)=x(x-1)(x-4)^2, use interval notation to give all values of x where f(x)>0.This question is from textbook ALGEBRA and TRIGONOMETRY

Click here to see answer by Nate(3495)

Question 44813This question is from textbook

: For f(x)=1/x^2-2x-8, find the interval(s) where f(x)<0.
Thank you.This question is from textbook

Click here to see answer by Nate(3495)

Question 44812This question is from textbook

: Express the following statement as a formula with the value of the constant of proportionality determined with the given conditions: w varies directly as x and inversely as the square of y. If x=15 and y=5, then w=36.
Thank you.This question is from textbook

Click here to see answer by Nate(3495)

Question 44817: I'm stuck on this one. Do I plug something into something? Not sure what book this is from.
Let f(x)= 2/x + 1/x-1. Find all a for which f(a)= f(a+1).
Thanks!
Click here to see answer by adamchapman(301)

Question 44819: Here is another problem that my answer does not make sense....Please help me
Use the ac test to determine which of the following trinominals can be factored. Find the values of m and n for each trinominal that can be factored.
x^2-3x + 7
Click here to see answer by mbarugel(146)

Question 44818: This is confusing for me. Please help.
Use the ac test to determine which of the following trinominals can be factored. Find the values of m and n for each trinominal that can be factored.
x^2 + 2x -15
Click here to see answer by mbarugel(146)

Question 44820: Solve and check the equations for x
5/x+6 + 2/x2 + 7x + 6 = 3/x + 1

Thank You!!!1
Click here to see answer by stanbon(26259)

Question 44823: Find all the positive values for k for which each of the following can be factored
x^2+x-k
Click here to see answer by stanbon(26259)

Question 44822: I need to factor the following trinomial completely.
x^2-11x-60
Thank you
Click here to see answer by stanbon(26259)

Question 44800: Ok, this one says Find the x- and y-intercepts for the function given by:
F(x)= 2/x+5-3/x-4 / 4/x-3+1/x+2
When I performed the indicated operations I got x-23/5x+5. Is that the complete answer? Please tell me how I find the x- and y- intercepts. Not sure what book this is from. Thanks!
Click here to see answer by stanbon(26259)

Question 44838: Hello!
I have been frustrated by the following problem in my College Algebra online course where the following equation escapes simplification to the point indicated by the answers in the back:
(x-1)/(x+1) - 2/(x^2+x)
(the book's answer is (x-2)/x
Would you know how one arrives (simplifies) to that result ?
thank you for your attention!
alex
Click here to see answer by adamchapman(301)

Question 44840This question is from textbook Algebra and Trigonometry

: The electrical resistance R of a wire varies directly as its length L and inversely as the square of its diameter. A wire 20 meters long and 0.6 centimeters in diameter made from a certain alloy has a resistance of 36 ohms. What is the resistance of a piece of wire 60 meters long and 1.2 centimeter in diameter made from the same material?This question is from textbook Algebra and Trigonometry

Click here to see answer by Nate(3495)

Question 44830: I am having problems with this problem.
Factor completely.
9x^2 + 12xy + 4y^2 -25
Click here to see answer by checkley71(8405)

Question 44829: This does not make sense to me, please help.
Factor each polynomial completely. To begin, state which method should be applied as the first step, given the guidlines of this section. Then continue the excercise and factor each polynomial completely.
m^4 - 9n^4
Click here to see answer by checkley71(8405)

Question 44882: This is confusing me...can someone explain this to me?
FIND A VALUE FOR k SO THAT 9m^2 - kn^2 WILL HAVE THE FACTORS 3m + 7n AND 3m -7n
Click here to see answer by josmiceli(3003)

Question 44907: factor completely
9x^2+12xy+4y^2-25
Click here to see answer by psbhowmick(456)

Question 44905: Solve the following quadratic equation
4x^2=13x+12
Thanks in advance for your help!
Click here to see answer by aaaaaaaa(138)

Question 44913: DIVIDE X^3-64 BY (X-4)
Click here to see answer by venugopalramana(3286)

Question 44910: factor each polynomial completely by factoring out any common factors and then factor by grouping. Do not combine like terms.

Click here to see answer by Chris435435(8)

Question 44908: factor each polynomial completely. state which method should be applied as the first step, then factor.
m^4-9n^4
Click here to see answer by tutorcecilia(2042)

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