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

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Question 423740: Tina is training for a biathlon. To train for the running portion of the race, she runs 10 miles each day, over the same course. The first 4 miles of the course is on level ground, while the last 6 miles is downhill. She runs 4 miles per hour slower on level ground than she runs downhill. If the complete course takes 1 hour, how fast does she run on the downhill part of the course
Click here to see answer by ankor@dixie-net.com(15646)

Question 424155: Write a polynomial function of degree 3 in standard form that has the given zeros. The laeding coefficient should be I. Zeros: -3, 5i, -5i
Click here to see answer by ewatrrr(10682)

Question 424358: How do you find the center and the radius of a circle (x-4)^2+y^2=16/25
Click here to see answer by stanbon(57285)

Question 424586: How Do You Solve A Radical Equation.
Click here to see answer by ankor@dixie-net.com(15646)

Question 424586: How Do You Solve A Radical Equation.
Click here to see answer by nerdybill(6955)

Question 424673: If P(A or B) = 0.8, P(A)= 0.1 and P(B) = 0.9 determine P(A and B)
Click here to see answer by linh117(31)

Question 425396: Find the vertex and intercepts for the quadratic function and sketch the graph.
y=x^2+2x-24

My thoughts:
0=x^2+2x-24....but then I'm not sure where I go from here. And I know once I find x, I need to find y?
Click here to see answer by scott8148(6628)

Question 426061: what is the product of 3(m + n)
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Question 426461: what are the zeros in 3x^4+4x^3-21x^2-10x+24
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Question 426508: 4x^3/2-5=103
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Question 426817: A rectangular pool has dimensions of 40 ft and 60 ft. If the pool has a patio area around it that equals the area of the pool, how wide is the distance from the pool edge to the patio edge?

I am supposed to solve this using the quadratic equation.
Click here to see answer by solver91311(16872)

Question 426851: Find the center and radius of the circle
x^2+y^2-18x+4y+4=0
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Question 422357: This question is about graphing inverse variations. If I have a problem such as Y=10/x how do I go about graphing the equation by hand?
Click here to see answer by nicolexxx(1)

Question 426880: f(x)=4x-5
Click here to see answer by Alan3354(30993)

Question 426804: f(x)=(2x-4)/(x^2-6x-16): What is the vertical asymptote, horizontal asymptote, x-intercept, and y-intercept?
Could anyone explain how to do this kind of problem to me as well? I have a test tomorrow!
Click here to see answer by htmentor(789)

Question 427063: solve the system of equations using the addition method.
equ 1: 2x-1/5y=-5
equ 2: 3x-5/2y=-37/2
I have tried tried multiplying -5 to (equ 1) to take out the fraction and
and -2 to (equ 2) and I'm not sure if that's correct so far.
Answer: equ 1: 10x+y=25
equ 2: 6xt10y=74
Click here to see answer by ewatrrr(10682)

Question 427086: solve;
1/(x-3) + 1/(x+3)=2/(x^2-9)
can someone help me to set this problem up to solve..
I have found myslef confused and not certain where to start..
Click here to see answer by htmentor(789)

Question 427157: 8-sqrt(8+12)=3
may u please help me with this question

Click here to see answer by Alan3354(30993)

Question 427251: Determine the slope and the y-intercept of the graph of the equation.
2x+y+9=0
Click here to see answer by sudhanshu_kmr(1152)

Question 426713: How is the graph of f(x) + d related to y=f(x)?
Click here to see answer by richard1234(5390)

Question 427225: 3cubed root y^4 * 3 cubed root 16 y^5 how do you do this problem
Click here to see answer by Gogonati(809)

Question 427397: what do I do when multiplying rational functions. My teacher said add them across then subtract or somethin like that. But I looked up the answer and i cannot figure out where the 4 came from.
(6x^3 y)* (3x^2 y)
_______ ________ ....the correct answer is 9x over 4. Help?!
(xy^2) * (8x^3)
Click here to see answer by ewatrrr(10682)

Question 427249: Question: Find x- and y-intercepts of the graph of the graph of the equation. Round to three decimal places, if necessary.
I don't have graphing calculator.
-18x+24y=1
Click here to see answer by ankor@dixie-net.com(15646)

Question 427455: Solve the problem.

For g(x)=2x(squared)-5x, find all values of a for which g(a)=7
Click here to see answer by jorel1380(2518)

Question 427455: Solve the problem.

For g(x)=2x(squared)-5x, find all values of a for which g(a)=7
Click here to see answer by nerdybill(6955)

Question 427486: Regarding functions and their graphs:
Guess a formula for the function represented by each of the following tables. Begin each formula with y = .
x 1 2 3 4 5
y 2 6 12 20 30
My answer: I thought my answer would be y/x but it can't be because I have to begin the formula with y =
Click here to see answer by Edwin McCravy(8893)

Question 427553: Please help me set up this problem:
"A canoe can travel 15 mph in still water. Going with the current it can travel 20 miles in the same time that it takes to travel 10 miles against the current. Find the rate of the current."
Click here to see answer by stanbon(57285)

Question 427520: Factor as much as possible x^2 + x - 6
Click here to see answer by jorel1380(2518)

Question 427561: Please help me set up this problem:
"The excursion boat Holiday travels 35 km upstream and then back again in 4 hours and 48 minutes. If the speed of the Holiday in still water is 15 km/ hour, what is the speed of the current?"
Click here to see answer by mananth(12270)

Question 427559: Please help me set up this problem:
"When Ace Airlines changed to planes that flew 100km/hour faster than its old ones, the time of its 2800 km Dallas-Seattle flight was reduced by 30 minutes. Find the speed of the new planes."
Click here to see answer by mananth(12270)

Question 427563: Please help me set up this problem:
"Tim paddled his kayak 12 km upstream against a 3 km/hour current and back again in 5 hours and 20 minutes. In that time how far could he have paddled in still water?"
Click here to see answer by mananth(12270)

Question 427652: solve for x
4x(x-4)-5x(x-3)=0
thank you
Click here to see answer by John10(245)

Question 427694: factor completly
64s^2+81-144s

Click here to see answer by ewatrrr(10682)

Question 427668: multiply
(5x+6)(8x^2+7x+1)
Click here to see answer by ewatrrr(10682)

Question 427807: what is the sum of (x+6/4x)+(x-2/5x) in simplest form
Click here to see answer by stanbon(57285)

Question 427812: Please help me solve this:
The Lesson is: Multiplying and Dividing Rational Expressions
The directions say "Simplify each expression"
The problem I need help with is: x^2 + 4x - 5 / 18 divided by x^2 - x / 6
-I really dont understand how to do this...
Click here to see answer by ankor@dixie-net.com(15646)

Question 427918: simplify by removing the factors of 1
6m^2+6m/30m^2+36m
the simplifed from is ___________________
Click here to see answer by rfer(12654)

Question 428008: Find all numbers for which the rational expression is undefined. Use commas to separate answers.
q(3 power)-5q divided by q (squared)-81
Click here to see answer by John10(245)

Question 428103: What is the domain of Q(x)= x+8/x^2+36x
Click here to see answer by solver91311(16872)

Question 428167: solve the inequality -4y+6<-14. i think it is y>5 but i am not sure that i have the sign pointing the right direction. if it's not please help me with the right answer.
Click here to see answer by solver91311(16872)

Question 428238: please help me solve this:
3/x-2/(x+1)=4/x
Click here to see answer by vleith(2825)

Question 428244: simplify the rational expression. state any restrictions on the variables.
a^2-5a-6/a+1
what i did:
a^2-5a-6/a+1 x a-1/a-1 = (a^2-5a-6)(a-1)= a^3-5a^2-6a+a^2+5a+6 = a^3-4a^2-a+6
i am not sure if what i have done is right. and i do not understand what they mean by state any restrictions on the variables.
Click here to see answer by John10(245)

Question 428302: please help me on this and explain it!
I'm really stuck on iy and i dont know how to do it.
(2x/(x+3))-5=1/(x+3)
Click here to see answer by stanbon(57285)

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