Questions on Algebra: Rational Functions, analyzing and graphing answered by real tutors!

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Tutors Answer Your Questions about Rational-functions (FREE)


Question 24790: Rewrite each expression:
5+y divided by 2x(squared)+10 = ? divided by 4(xsquared + 5)
i dont really understand what to do or how to do it, please help.

Click here to see answer by stanbon(26274) About Me 

Question 24857: I don't understand rational expressinos with unequal denominators. Can someone please help me?
Click here to see answer by rapaljer(3620) About Me 

Question 25159: x-3 divided by x^ - x - 20
X
x^ - 3X-10 divided by x^ - 9

Click here to see answer by rapaljer(3620) About Me 

Question 25172: I have no idea what i am doing wrong, could you please help me.
The directions say: Solve each equation:
the problem:
x/6 + 4x/3 = x/18
I have the problem done but i didnt do it right cause the answer dosent check:
the LCD is 15 then it comes to 3x + 24x= x, my final answer comes to 27 but it cant be right, help!

Click here to see answer by Earlsdon(4900) About Me 

Question 25187: I cant remeber if i asked this question or not, but i need help,
solve each equation:
6+5/y = y-2/y
the LCD is y, but i dont know what to do after that, please help

Click here to see answer by elima(1433) About Me 

Question 25258: Hello, I just tried to locate "x" and couldn't get it. The problem is -2[4-3(x+5)]=4(2-x). I cannot get "x" no matter how hard I try. Thank you if you can help me.
Click here to see answer by Earlsdon(4900) About Me 

Question 25303: 2x-y+x+y=
Click here to see answer by Alwayscheerful(414) About Me 

Question 25304: 2x-y+x+y=
Click here to see answer by Alwayscheerful(414) About Me 

Question 25318: Hello,
I am having trouble with using Synthetic division to find the remaining factors of a polynomial. Here is the polynomial and one of its remaining factors:
2x^3+17x^2+23x-42; 2x+7. My teacher did not teach my class on how to do this when one of the remaining factors has a whole number (other than 1) in front of the variable.
Please help me.
Sierra

Click here to see answer by longjonsilver(2297) About Me 

Question 25399: f(x)=square root of x+3 / draw graph
Click here to see answer by longjonsilver(2297) About Me 

Question 25461: I cant figure out this algebra 2 thing. i just dont understand. could you help me........
Simplify the following expression: 2k2 + 3k - 20 divided by k2 + 3k - 4
Thanks

Click here to see answer by josmiceli(3009) About Me 

Question 25557: 3x+y
y-x
-3x-y

Click here to see answer by rapaljer(3620) About Me 

Question 25576: m/(m^2-2m+1)+1/(m^2-5m+4)
Click here to see answer by stanbon(26274) About Me 

Question 25671: Please help me solve this problem:
sqrt x2+5 = x+3
Many thanks in advance.

Click here to see answer by rapaljer(3620) About Me 

Question 25638: Please help me understand how to solve this rational expression.(thank you)
x^3-y^3/x^2+xy+y^2
I think the denomiator factors out to: (x+y)(x+y)
but I am not sure what to do with the numerator!
Is it, xy(x^2-y^2) and if it is, where do I go from there????
Thanks SO much for the help!!

Click here to see answer by Earlsdon(4900) About Me 

Question 24714: What is a coinciding equation?
Click here to see answer by venugopalramana(3286) About Me 

Question 26289: im in night school for algebra 2 and need this course to keep my spot at USI next year.. but i cannot understand simplifying radicals...
Click here to see answer by longjonsilver(2297) About Me 

Question 26157: Find (f(x+h)-f(x))/(h) for f(x)=(1-x)/(x)
Click here to see answer by longjonsilver(2297) About Me 

Question 26353: how do you graph (x^2+2x-3)/(x+3)

Click here to see answer by mathrebel(25) About Me 

Question 26451: ok so i thought i understood this radical stuff so i need you to explain things in lamen terms for me, # do not work with my head well.
first of all i know the definitions of factors and terms but when it comes down to the problem i just cancel ne thing cause i don't know which is which
so heres one of my questions
heres how i did it:
4x-12/x^2 * 7x+21/28
so i factored the numerators first and got
2*2(x-3) * 7(x+3)
then i factored the demonminators and got
(x-3)(x-3) * 2*2*7
so i canceled out 2*2 on the top and the 2*2 on the bottom, then the (x-3)'s on the top and bottom of the first equation. then the (x+3)'s on the top and bottom of the second equation and then both 7's on the second equation top and bottom
and the answer i got was 0
i didn't know if that was possible to get, maybe i did it right. but its these types of questions that just mess me up. i will prolly be writing for some more help on LCD and stuff like that.
thanx for you help in advance
shanna

Click here to see answer by longjonsilver(2297) About Me 

Question 26301: I need help with understanding inequality with two variable.
Example how to solve
-2x+y less then or greater then 4
I have tried y=4/2x
The answer on the book states y=2x+4 Why?
Second step is to graph the inequality. How do i find the plots in order to see where the shaded point should be? Do you know of any link that could help with these problems?

Click here to see answer by elima(1433) About Me 

Question 26159: Find f(f(x)) for f(x)=(1)/(x+1)
Click here to see answer by stanbon(26274) About Me 

Question 26593: I'm suppose to find the equation of each line and write the equation using function notation:
heres the problem:
through (-4,8); perpendicular to 2x-3y=1
heres the work i have done:
-3y = -2x+1 y=2/3x +1/3
slope = 2/3
y-8 = 2/3(x+4)
y+-8= 2/3x + 2 2/3
y=2/3x+-5 1/3
f(x)= 2/3x + -5 1/3
did i do this problem right or am i doing it completely wrong, please help, thanks

Click here to see answer by Alwayscheerful(414) About Me 

Question 26595: The directions say to find the equation of the line passing through the given points, use function notation.
(8,-3), (4,-8)
i'm not sure what to do, please help, thanks

Click here to see answer by longjonsilver(2297) About Me 

Question 26814: write a polynomial function in standard form with zeros at -1, -5, and 3
Click here to see answer by bmauger(101) About Me 

Question 26803: find a third-degree polynomial equation with rational coefficients that has the roots -5 and 4+i
Click here to see answer by venugopalramana(3286) About Me 

Question 26981: I'm trying to figure out rational expressions. The directions are, "If possible, simplify the rational expression." I'm having trouble figuring out where to start. The question is:
3x²-5x-2
--------
x² - 4
I've already factored the denominator and got (x+2)(x-2)

Click here to see answer by longjonsilver(2297) About Me 

Question 27028: I have tried +/- 1,2,3,4,6,12 to solve
x^4 -4x^3 -x^2-16x-12=0 but can't find the rational zeros.

Click here to see answer by venugopalramana(3286) About Me 

Question 27026: I need to solve z^3 - 10z^2 -32=0
I tried factors +/_ 1,2,4,8,16,32 but can't solve the values for the rational zeros.

Click here to see answer by venugopalramana(3286) About Me 

Question 27021: i need to find the domain and range for y= 4 over 3x+2
i have the domain as (-inf.,-2/3]u[-2/3,inf.)
the range as (- inf.,0] u [0, inf.)
thanks for your help

Click here to see answer by longjonsilver(2297) About Me 
Question 27021: i need to find the domain and range for y= 4 over 3x+2
i have the domain as (-inf.,-2/3]u[-2/3,inf.)
the range as (- inf.,0] u [0, inf.)
thanks for your help

Click here to see answer by venugopalramana(3286) About Me 

Question 27279: (5/n)+(4)/(6-3n) = (2n)/(6-3n)
Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 27277: Solve:
(5x-8)/(x+2) = (5x-1)/(x+3)

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 26594: I'm suppose to graph each linear equation, but i dont know how to do that
the problem is: 4=x-3y
how do i graph it? please help

Click here to see answer by Eric Johnston(7) About Me 

Question 27433: f(x)=5x, g(x)=3x+5, h(x)=(x)2+2 this is x squared plus 2
Question h(g(-4))

Click here to see answer by longjonsilver(2297) About Me 

Question 27451: I have tried to work this x/x+2=6/x+5. The answer I came up with was x=1,x=12.
Click here to see answer by longjonsilver(2297) About Me 

Question 27676: Factor Completley
24x^2 + 10x -4
I am totally lost on Rational Expressions, Please help
Thanks EM

Click here to see answer by longjonsilver(2297) About Me 

Question 27677: Factor out Completely
Another Rational Expression
x^2 -6wy +3xy -2wx
Can you please let me see it step by step.
Thank You
EM

Click here to see answer by longjonsilver(2297) About Me 

Question 27678: Just one more, this is factor by grouping of Rational Expressions
3x^3 - 12x + 5x -20
EM

Click here to see answer by longjonsilver(2297) About Me 

Question 27749: This is a rational inequality problem, I need help with.
a/a+2 > 0, any suggestions, please.

Click here to see answer by longjonsilver(2297) About Me 

Question 27750: This is a rational inequality problem, I need help with.
a/a+2 > 0, any suggestions, please.

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 27877:
 7x3y2 - 21x2y + 35x3y4
————————————————————————
       7x2y

Click here to see answer by AnlytcPhil(958) About Me 

Question 28046: I got a couple that are really stumping me, can you show them with the steps?
Factor out
First: x3 – 26x2 + 48x
Second:3x^2 – 2x – 8
Third: x2 – 5x – 14
Thanks You have been a great help

Click here to see answer by stanbon(26274) About Me 

Question 28083: 1/r2-1 = 2/r2=r-2
I got this wrong on a test and just cant figure out what I did wrong. Help me out please! Thanks!
I have to find r.

Click here to see answer by longjonsilver(2297) About Me 

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