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 94111: "how do u solve the rational equation, 2/3x + 1 = x - 3 ?
Click here to see answer by jim_thompson5910(28595) About Me 

Question 94117: " If i have 2 nubers in a rational equation how do i solve it, 1/2x - 2/3 =-2 and 3/5x - 4 = 2/3x + 1 ?
Click here to see answer by ankor@dixie-net.com(15656) About Me 

Question 94202: Please help me find the domain of the following function:+f%28x%29=x%5E3%2F%28x%5E2-1%29
Click here to see answer by ankor@dixie-net.com(15656) About Me 

Question 94200: Please help me solve this:+f%28x%29=x%5E3%2F%28x%5E2-1%29
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Question 94263: What is the significance of the name 'linear equation' to its graphical representation?
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Question 94262: Why do intersecting lines represent a unique solution? Give examples to support your answer.
Click here to see answer by stanbon(57361) About Me 

Question 94747: My son asked me tonight this question: What is the Reciprocal of the sqrt(3)
My mind is boggled and I don't know how to answer or even where to begin to figure it out. HELP??

Click here to see answer by bucky(2189) About Me 

Question 95122: I am confused about this question. I have a graph with points (-1,0), (0.67,0) and (-0.16,-2) which is the vertex. I'm supposed to comment on the discriminant and form a quadratic equation and solve it. I came up with several equations which are not correct. Can someone help me? Thanks
Click here to see answer by stanbon(57361) About Me 

Question 95382: i dont know what this is realy called but my teacher told use to do this problem & i keep geting lost... can anyone help me?
3a-2b+2c=1
2a+5b=7+5c
c+3+4a=3b

Click here to see answer by edjones(7569) About Me 

Question 95475: Describe in words the graph of each of these curves below. Include in your description the shape, along with other possible relevant information such as length, width, and center points.
a. Y = 3X2
b. (X-1)2 + (Y-8)2 = 16
c. (X+2)2 + (Y-4)2 = 36
d. Y = X2 - X

Click here to see answer by stanbon(57361) About Me 

Question 95178: When solving a rational equation, why is it okay to remove the denominator by multiplying both sides by the LCD why can't you do the same when simplifying a rational expression...........Cass
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Question 95574: A. Graph the function f(x) = –3x + 7. Be sure to properly label the graph, which includes labeling the axes and the line with its equation.

B. Graph the function f(x) = –3x2 + x – 5. Be sure to properly label the graph, which includes labeling the axes and the graph with its equation.

Click here to see answer by checkley71(8403) About Me 

Question 95684: f(x)=7x-4
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Question 95697: Simplify the rational expression: 5-1/x^4 divided by xy.
Click here to see answer by ankor@dixie-net.com(15656) About Me 

Question 95733: Can someone help me with this question please: Simplify the complex rational expression 3x/x-4 +1 / 15/x^2-16 + 1
Click here to see answer by ankor@dixie-net.com(15656) About Me 

Question 96018: Find the distance between (7, –9) and (–5, –4).
Click here to see answer by jim_thompson5910(28595) About Me 

Question 96022: Find the axis of symmetry.
y = x^2 + 7x + 4

Click here to see answer by jim_thompson5910(28595) About Me 

Question 96015: reduce to lowet terms
2t^2+22t+56/t^2+2t-35

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Question 96717: university of phoenix elementary and intermediate algebra rational expressions . solve each formula for the indicated variable
leon drove 270 miles to the lodge in the same time as pat drove 330 miles to the lodge. if pat drove 10 miles per hour faster than leon,how fast did each of them drive

Click here to see answer by checkley71(8403) About Me 

Question 96758: Which of the following relations define y as a function of x? Explain why or why not for each.
A) y = 3x^2 + 4
B) (2,6),(3,8),(2,-2),(-1,6)
C) y = |x|
D) x = y^2

Click here to see answer by stanbon(57361) About Me 

Question 96698: lugene's desk, the teacher's desk, and the trash can from a triangle. Lugene's desk is 10 feet from the teacher's desk. The angle he sights between the teacher's desk and the trash can is 100 degrees. The angle the teacher sights between lugene is just about to break a classroom rule and throw his gum into the trash can, about how far will it have to throw it? do you remember the Law of Sines?
Click here to see answer by scott8148(6628) About Me 

Question 96761: Consider the following variables where one is the final exam score for a student on the departmental final exam and the other is his/her semester grade. Which of the following statements best describes their relationship to each other? In each case, explain why you exclude or include the choice.
-An individual's final exam score is a function of his or her semester grade.
-An individual's semester grade as a function of his/her final exam score.
-Each is a function of the other.
-Neither is a function of the other.

Click here to see answer by Edwin McCravy(8909) About Me 

Question 96748: Directions:
Use quantifiers to make each of the following true, where x is a natural number
1. x + 8=11
I don't have a clue of what I am suppose to do...please help

Click here to see answer by stanbon(57361) About Me 
Question 96748: Directions:
Use quantifiers to make each of the following true, where x is a natural number
1. x + 8=11
I don't have a clue of what I am suppose to do...please help

Click here to see answer by tutorcecilia(2152) About Me 

Question 96773: i don't know how to graph f(x)= x-1/x^3-4x
Click here to see answer by checkley71(8403) About Me 

Question 96825: http://img.photobucket.com/albums/v704/superstar8856/line-1.jpg
Is the domain for this (negative infinity, positive infinity)?
Is the range [-2, positive infintity)?

Click here to see answer by jim_thompson5910(28595) About Me 

Question 96830: http://img.photobucket.com/albums/v704/superstar8856/line2-1.jpg
Please excuse my kind of crudely drawn graph.
Use the following graph of f(x) to find each of the function values.
f(-2) =
f(-1) =
f(0) =
f(2) =

Click here to see answer by jim_thompson5910(28595) About Me 

Question 96867: y varies directly with x. so if:
if x is doubled, what happens to y? what if x is halved?

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Question 97438: find domain
f(x)= x^4-2x^3+7 / 3x^2-10^x-8

Click here to see answer by jim_thompson5910(28595) About Me 

Question 97495: PC Haven sells computers at a 15% discount on the original price plus a $200 rebate. Write a function to represent the final price of a computer at PC Haven. What is the value of the function for an input of 2500, and what does it represent?
Click here to see answer by mathslover(135) About Me 

Question 97494: On one day the value of $1.00 U.S. was equivalent to 0.77 euro. On the same day $1.00 U.S. was equivalent to $1.24 Canadian. Write a function to represent the value of Canadian dollars in Euros. What is the value of the function for an input of 5 to the nearest cent, and what does it represent?
Click here to see answer by edjones(7569) About Me 

Question 97525: Hi, I have no idea on how to do solve this word problem:
The Rent-Me Car Rental charges $15 per day plus $.22 per mile to rent a car. Determine a linear function that can be used to calculate daily car rentals. Then use that function to determine the cost of renting a car for a day and driving 300 miles.
Please help me:) Thanks

Click here to see answer by checkley71(8403) About Me 
Question 97525: Hi, I have no idea on how to do solve this word problem:
The Rent-Me Car Rental charges $15 per day plus $.22 per mile to rent a car. Determine a linear function that can be used to calculate daily car rentals. Then use that function to determine the cost of renting a car for a day and driving 300 miles.
Please help me:) Thanks

Click here to see answer by mathslover(135) About Me 

Question 97559: Solve for "r"
C=2(Pi)r

Click here to see answer by checkley71(8403) About Me 
Question 97559: Solve for "r"
C=2(Pi)r

Click here to see answer by edjones(7569) About Me 

Question 97565: Solve for "C".
F=9/5C+32

Click here to see answer by checkley71(8403) About Me 

Question 97527: I need help with this problem. Thank you.
Determine the linear function whose graph is a line that parallel to the line g(x)=-3x-4 and contains the point (2,7).

Click here to see answer by scott8148(6628) About Me 

Question 97773: Find equations in terms of y=mx+b in the following:
through (5, -2) and (1,3)

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Question 97949: Find a 3 by 3 magic square using the numbers 3,5,7,9,11,13,15,17,19. I don't know how to start it, please help.
Click here to see answer by stanbon(57361) About Me 

Question 98038: Graph each quadratic function and state its domain and range.
h(x)= -3x^2

Click here to see answer by tutorcecilia(2152) About Me 

Question 97747: Solve f(x) is less than or equal to 0 if f(x) = 4 - 3x
Solve q(x) is greater than or equal to 0 if g(x) = x^2 - 4
Solve h(x) is less than or equal to 0 if h(x) = 2x^3 - x^2 -3x

Click here to see answer by kiljoy(51) About Me 

Question 98001: hey i didnt know where else to go with this....
its asking me:


a person's weight on the surface of a planet is directly proportional to the mass of the planet and inversely proportional to the square of the radius of the planet.
if a man weighs 180 pounds on earth, how much will he weigh on a planet that is 2 times as massive as earth and has 3 times the radius of earth?


im very confused by the directly and inversely proportional things and i've been trying to do this problem i just don't know where to get started...any help would be greatly appreciated : ) thanks

Click here to see answer by scott8148(6628) About Me 


Question 98274: 1) You are given the following set.
{(-4, 4), (-2, 2), (0, 0), (2, 2), (4, 4)}

(a) If the set defines a function, find the domain.
(b) If the set defines a function, find the range.
2) The perimeter of a rectangle is 20 inches. Express the area A(w) as a function of the width w.

Click here to see answer by Nate(3500) About Me 

Question 98271: 1)
Determine the average rate of change for the function:
f(x)= x^2 + 10x +16 where -3 is less than or equal to x is less than or equal to 3

2) Find the domain of the given function
http://www.webassign.net/www21/symImages/9/6/91b1c4f55e28b2d77681409dffacec.gif
3) Write the domain of the rational function in interval notation as
http://www.webassign.net/www21/symImages/3/e/35f8505dfa1bc3d278590bcb5943d2.gif
(P.S - If you haven't figured it out yet, I'm the person who has been posting all the questions about functions for the past week. Thank you all so much for your help! I really appreciate it)

Click here to see answer by jim_thompson5910(28595) About Me 

Question 97989: Find the equation of a circle which passes through the origin and whose center
is at the point (-1,1).

Click here to see answer by ryanman(19) About Me 

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