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

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Question 218486: I need to solve 3/x-4 = x/x-2 for x.
Click here to see answer by stanbon(57953)

Question 218468: Find the product to the nearest ten- thousandth.
4.65x (-2.35)
Click here to see answer by checkley77(12569)

Question 218673: solve the equation x3 + 2x2 + x + 2 = 0 if -2 is a root?
Click here to see answer by drj(1380)

Question 219462: lable the asymptoes and y-intercept.
f(x)=2x+1
_____________
x-4

f(x)=9
________
x^2-9
Click here to see answer by stanbon(57953)

Question 219645: assume all variables represent positive numbers
Simplify. √(121/x^2)
Click here to see answer by checkley77(12569)

Question 219658: Solve (y-7)^1/4=3
Click here to see answer by Alan3354(31509)

Question 220158: Give the domain
f(x)= x^4+4/x^2+6x-16
Answer shows (-∞,-8)u(-8,2)u(2,∞)
I am coming up with (-∞,-8)u(2,∞)
Which is correct and why?
Thank you
Click here to see answer by Theo(3504)

Question 220354: Perform the indicated operation.
g(n)= n^2+4+2n
h(n)= -3n+2
find (g * h)(1)
thanks.
Click here to see answer by rapaljer(4667)

Question 220416: 3(x+4)+2.2x-4
Click here to see answer by checkley77(12569)

Question 220553: If f(x-2)=6x-7, what is f(x)?
The answer is f(x)=6x+5, but I have no idea how the answer is found! I keep ending up with 6x-17. Here is what I did....
f(x)= 6(x-2)+2-7
f(x)= 6x-12-5
f(x)= 6x-17
Please help! I think you're supposed to add 2 somewhere but I don't know where, why or how!
Click here to see answer by stanbon(57953)

Question 220897: I have been working on these problems for a couple days now can anyone help?
1) 6x-5<11x+y graph the inequality on a plain
2) 5x+6y<30 graph the inequality on a plain
3) Bayside insurance offers two plans.Under plan A heather would have to pay $110 of her medical bills and 40% of the rest. Under plan B Heather would pay the first $210, but only 20% of the rest. for what amount of medical bills will plan B save Heather money? Assume she has over $210 in medical bills.Heather would save with plan B if she had more than $________ in bills?
Click here to see answer by rfer(12727)

Question 221219: Jenny runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 18 minutes?
Click here to see answer by rapaljer(4667)

Question 221219: Jenny runs 4 miles in 30 minutes. At the same rate, how many miles would she run in 18 minutes?
Click here to see answer by RAY100(1637)

Question 221296: i need so much help with my math hmwk. Right now I am trying to solve the following
simplfy
x/2x-3 - 1/x=2
Im stuck & iam terrible at math. can u help me solve this

Click here to see answer by Alan3354(31509)

Question 221300: made a typo it should have been x+2 on the last portion of the problem. So sorry....

simplfy
x/2x-3 - 1/x+2

Click here to see answer by drj(1380)

Question 195457: Rewrite each function to make it easy to graph using a translation. Describe the graph.
[] means its in square root!! please help me
y=3[-27x-27]+4
y=[16x-32]
and can you tell me how many numbers did is shift right/left?? THANKS
Click here to see answer by TR Tutoring(2)

Question 222440: Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function.
1. {(3, 4), (5, 9), (9, 9), (2, 3)}
2. {(0, 0), (0, 1), (1, 4), (2, 4)}
3. {(2, 1), (4, 5), (8, 4), (1, 0)}
4. {(8, 3), (8, 0), (7, 7), (4, 7)}

Click here to see answer by vleith(2825)

Question 222453: if a train leaves at 2 o clock and another train leaves at 4 o clock at the same train going to dc what time will they meet.
Click here to see answer by user_dude2008(1861)

Question 222548: give the equation of the oblique asymptote, if any, of the function.
T(x) x^2 - 8x + 4 / x + 5
this being a fraction, and / being the fraction line
Click here to see answer by jsmallt9(3296)

Question 222624: Simplify: (5root18 - 2root3)(6root2 - 7root3)

Thanks!
Click here to see answer by chibisan(131)

Question 222910: Dear Sir:
I am trying to solve the following equation for x:
y = {e^x} / {1 + 2e^x}
I have tried various approaches but they do not seem to work:
(1) multiplying both sides of the equation by the value of the denominator and then taking the logarithms of both sides.
(2) rewriting the equation using fractional exponents and then trying to simplify the right hand side before taking the logarithm of both sides
But, of course when I take the logarithm of both sides I cannot separate the expression in the parenthesis. Obviously, I am on the wrong track, but I have not found any help in my math books or my professor's notes.
Is it possible for you to help me. I would be very grateful for advise and an illustration of the appropriate method.
Very truly yours,
Lawrence G. Lever (an older student returning to mathematics after many years)
Click here to see answer by stanbon(57953)

Question 223617: please help me with this porblem...
A passenger train travels 392 kilometres in the same time that it takes a freight train to travel 322 kilometres. If the passenger train travels 20 km/hr faster than the freight train, find the rate of each train.
thanks.
Click here to see answer by stanbon(57953)

Question 223764: Suppose a parabola has a vertx (-1,8) and y-intercept 7
How do you find the function f whose graph is this parabola and express f in the form f(x)= ?
Click here to see answer by stanbon(57953)

Question 223762: How do you find all zeros of f, including complex zeros given f(x)=
Click here to see answer by Alan3354(31509)

Question 223866: 32 oz=_lb, 16lb_oz, 18,000lb=_lb, 21pt=_fl oz
Click here to see answer by rfer(12727)

Question 223810: f (x) = x4 - 4x3-22x2 + 52x - 5
State approximately the intervals on which f is increasing and on which f is decreasing. Round your answers to the nearest tenth.
(leftmost increasing interval)(rightmost increasing interval)
(leftmost increasing interval)(rightmost increasing interval)
Click here to see answer by jsmallt9(3296)

Question 224159: I need help on this math problem.
-5jk/35j^2k^2
Thanks!
Click here to see answer by stanbon(57953)

Question 224515: given f(x)=sqrt x+3 and g(x)=6x find f(g(x)) i.e.(fog)(x) and find (fog)(1)
I know that you need to replace the x in sqrt of x +3 so it would read sqrt 6x+3
then would I change that to (6x+3)^2 =36x^2+36x+9.
Click here to see answer by rapaljer(4667)

Question 224699: 8/3x + 3/x = 1
Click here to see answer by chibisan(131)

Question 224671: I need help on finding the numerical value of the rational expression:
and
I have answered correctly when x=2 which is 1/3, but when x=-3 I keep coming up with -27/-72 which simplifys to 3/8 right? my homework which is on online classes shows that the correct answer is 3/4, I would like to know how it ends up being 3/4 instead of 3/8. Your help is greatly appreciated!
Click here to see answer by Edwin McCravy(8999)

Question 224739: Can someone please help me with multiplying rational expressions. Here are a couple of expressions I am working on.
3/ a^2 + a * 2a + 2/ 6
w^2 -1/ (w-1)^2 * w-1/ w^2 + 2w + 1

Thanks!
Click here to see answer by jim_thompson5910(28704)

Question 224700: 4/x+3 = 6/x
Click here to see answer by ankor@dixie-net.com(15746)

Question 225039: Determine whether each relation is a function. In addition, provide reasons for identifying a relation as a function.
{(3, 4), (5, 9), (9, 9), (2, 3)}
{(0, 0), (0, 1), (1, 4), (2, 4)}
{(2, 1), (4, 5), (8, 4), (1, 0)}
{(8, 3), (8, 0), (7, 7), (4, 7)}

Click here to see answer by Edwin McCravy(8999)

Question 225270: I need help with this math problem.
5r-5s/5r+5s
Thanks!
Click here to see answer by josmiceli(9817)

Question 225416: Solve for x:
1. sqrt. 6x-8 =x
2. 2 Sqrt(x+2) -3=7
Thanks
Click here to see answer by solver91311(17072)

Question 226007: x+9 over x-9 divided by x to the second power -81 over 9-x
Click here to see answer by edjones(7569)

Question 225846: I need help with this problem.
Reduce to lowest terms.
x^3-x^2
_________=
x^4
Click here to see answer by ankor@dixie-net.com(15746)

Question 226716: using each of the following scales, find the dimensions in a blue print or a room 8 ft by 12ft.
1)1in: 2ft

Click here to see answer by rfer(12727)

Question 226869: Simplify each expression. Write your answers with positive
exponents. Assume that all variables represent positive real
numbers.
(-27x9)1/3
The 9 is a 'to the power of' number and the 1/3 is also like a to the power number on the outside of the parenthesis, as in being smaller like the 9 should be. Does this make sense to anyone?? I hope because I really need help with how I am supposed to do it, can someone please help me??
Click here to see answer by ankor@dixie-net.com(15746)

Question 227041: find the distance from point a ((7/8),-(1/8))to point b (-(1/8)(7/8))
Click here to see answer by Alan3354(31509)

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