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

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Algebra: Rational Functions, analyzing and graphing

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Question 94111: "how do u solve the rational equation, 2/3x + 1 = x - 3 ?
Click here to see answer by jim_thompson5910(13794)

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(6693)

Question 94202: Please help me find the domain of the following function:
Click here to see answer by ankor@dixie-net.com(6693)

Question 94200: Please help me solve this:
Click here to see answer by Edwin McCravy(2922)

Question 94263: What is the significance of the name 'linear equation' to its graphical representation?
Click here to see answer by stanbon(26291)

Question 94262: Why do intersecting lines represent a unique solution? Give examples to support your answer.
Click here to see answer by stanbon(26291)

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(1732)

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(26291)

Question 95382This question is from textbook Algebra and Trigonometry

: 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=3bThis question is from textbook Algebra and Trigonometry

Click here to see answer by edjones(3298)

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(26291)

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
Click here to see answer by vertciel(183)

Question 95569: Somewhat lost on this one.
A person cuts a rope into two pieces that are equal in length. The first piece is 4 times the length of the person’s forearm minus 1 inch. The second piece is 3 times the length of the person’s forearm plus 15 inches.

Task:

A. Construct the linear equation that represents the situation in the given using x as the variable for the person’s forearm.

B. Solve the linear equation you constructed both algebraically and graphically to find the length of the person’s forearm. Show your work.

C. Briefly discuss whether or not your answer is reasonable.

Click here to see answer by ankor@dixie-net.com(6693)

Question 95571: A. A school bus holds 57 students but is only 40% full. How many students are on the bus?
1. Explain why the answer of 22.8 students is unreasonable.
2. Give a reasonable answer in its place.
3. Explain why your answer is more reasonable.

B. The length of a rectangular field is 2 yards more than its width. Find the width if the area of the field is 120 yd2.
1. Explain why the answer of a width of –12 yards is unreasonable.
2. Give a reasonable answer in its place.
3. Explain why your answer is more reasonable.

Click here to see answer by rossiv53(27)

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(8405)

Question 95684: f(x)=7x-4
Click here to see answer by checkley71(8405)

Question 95697: Simplify the rational expression: 5-1/x^4 divided by xy.
Click here to see answer by ankor@dixie-net.com(6693)

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(6693)

Question 96018: Find the distance between (7, –9) and (–5, –4).
Click here to see answer by jim_thompson5910(13794)

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

Click here to see answer by jim_thompson5910(13794)

Question 96015: reduce to lowet terms
2t^2+22t+56/t^2+2t-35
Click here to see answer by jim_thompson5910(13794)

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(8405)

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(26291)

Question 96698This question is from textbook algebra 2
: 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?This question is from textbook algebra 2

Click here to see answer by scott8148(3382)

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(2922)

Question 96748This question is from textbook
: 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 helpThis question is from textbook

Click here to see answer by stanbon(26291)

Question 96773: i don't know how to graph f(x)= x-1/x^3-4x
Click here to see answer by checkley71(8405)

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(13794)

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(13794)

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

Click here to see answer by stanbon(26291)

Question 97438: find domain
f(x)= x^4-2x^3+7 / 3x^2-10^x-8
Click here to see answer by jim_thompson5910(13794)

Question 97495This question is from textbook Holt Algebra 2
: 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? This question is from textbook Holt Algebra 2

Click here to see answer by mathslover(126)

Question 97494This question is from textbook Holt Algebra 2
: 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?This question is from textbook Holt Algebra 2

Click here to see answer by edjones(3298)

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(8405)

Question 97559: Solve for "r"
C=2(Pi)r
Click here to see answer by checkley71(8405)

Question 97559: Solve for "r"
C=2(Pi)r
Click here to see answer by edjones(3298)

Question 97565: Solve for "C".
F=9/5C+32
Click here to see answer by checkley71(8405)

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(3382)

Question 97773: Find equations in terms of y=mx+b in the following:
through (5, -2) and (1,3)
Click here to see answer by checkley71(8405)

Question 97949This question is from textbook
: 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.This question is from textbook

Click here to see answer by stanbon(26291)

Question 98038: Graph each quadratic function and state its domain and range.
h(x)= -3x^2
Click here to see answer by tutorcecilia(2042)

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)

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(3382)

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(3495)

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