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 102431: A family's vacation cost $1000 in '93, 94-95 1750, 96 2000, 97 2200, 98 2700, 99 3200, 00 2900 Equation please
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Question 102474: xsquared-13x=-10
Click here to see answer by jim_thompson5910(13794) About Me 
Question 102474: xsquared-13x=-10
Click here to see answer by stanbon(26297) About Me 

Question 102609: Find the root
^4/256

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Question 102873: PLEASE HELP TONIGHT if possible! This problem doesn't come from a textbook, but it is the only one on the worksheet that I cannot solve. Here it goes:
The graph of the square function (f(x) = x^2) has been transformed by rotating the graph about the x-axis, pushing the entire graph down 5 units, and then left 8 units.
Write the equation of the transformed graph.
Thanks so much! If you can get it to me tonight, that would be great, since it is due by midnight!!!

Click here to see answer by rapaljer(3625) About Me 
Question 102873: PLEASE HELP TONIGHT if possible! This problem doesn't come from a textbook, but it is the only one on the worksheet that I cannot solve. Here it goes:
The graph of the square function (f(x) = x^2) has been transformed by rotating the graph about the x-axis, pushing the entire graph down 5 units, and then left 8 units.
Write the equation of the transformed graph.
Thanks so much! If you can get it to me tonight, that would be great, since it is due by midnight!!!

Click here to see answer by bucky(1732) About Me 
Question 102873: PLEASE HELP TONIGHT if possible! This problem doesn't come from a textbook, but it is the only one on the worksheet that I cannot solve. Here it goes:
The graph of the square function (f(x) = x^2) has been transformed by rotating the graph about the x-axis, pushing the entire graph down 5 units, and then left 8 units.
Write the equation of the transformed graph.
Thanks so much! If you can get it to me tonight, that would be great, since it is due by midnight!!!

Click here to see answer by edjones(3299) About Me 

Question 102951: Can you please help me to write an equation for a direct variation with a graph that passes through these points: (-3, 14)
Click here to see answer by scott8148(3385) About Me 

Question 103251: When 2x^3-ax^2+bx-c is divided by x+1 the remainder is -14
"determine algebraically the values for a, b an c"
I'm lost as to how to solve for a b and c

Click here to see answer by stanbon(26297) About Me 

Question 103301: (4*square root of 5)+(7*square root of 5)
Click here to see answer by JP(22) About Me 

Question 103917: find the domain of the indicated combined funtion:
find the domain of (f+g)(x) when f(x)=8-7x and g(x)=-5x+5.
so far i got:
f(x)+g(x)
(8-7x)+(-5x+5)
13+ -12x

Click here to see answer by jim_thompson5910(13794) About Me 

Question 103916: Which two functions are inverses of each other. Show that they are inverse functions. f(x)= x+2 over 4, g(x)= 4x+2, h(x)= x-2 over 4 .
Click here to see answer by stanbon(26297) About Me 

Question 103943This question is from textbook intermediate algebra
: Find the domain and the range after graphing: y= x2 - 1
I am not understanding the process in which you find the domain and the range.
This question is from textbook intermediate algebra

Click here to see answer by stanbon(26297) About Me 

Question 104178This question is from textbook
: Think of an example of a real-life problem that involves exponents. State the problem. Explain how you would try to solve the problem.

This question is from textbook

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Question 104210: 2+ 4x-3=10
_ ____
x x

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Question 104300This question is from textbook
: I was just wondering if anybody was going to help me out on myhomewrk?This question is from textbook

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Question 104459: Please help me figure out the range of the relation {(-2,-3),(1,0),(5,-2)}
Click here to see answer by stanbon(26297) About Me 

Question 104526: I dont understand how to do this type of problem where i have to find asymptotes, someone please help!!! Thanks!!! The problem is: Graph the function . Find asymptotes and intercepts.
Click here to see answer by edjones(3299) About Me 

Question 104891: Please help me find the equation of this function problem: Assume that it costs $0.30 to mail a letter weighing one ounce or less, and then $0.27 for each additional ounce or fraction of an ounce. Let L(x)be the cost of mailing a letter weighing x ounces. Find L(4).
Click here to see answer by edjones(3299) About Me 
Question 104891: Please help me find the equation of this function problem: Assume that it costs $0.30 to mail a letter weighing one ounce or less, and then $0.27 for each additional ounce or fraction of an ounce. Let L(x)be the cost of mailing a letter weighing x ounces. Find L(4).
Click here to see answer by oberobic(93) About Me 

Question 104892: Please help me find the equation of this function problem: Assume that it costs $0.30 to mail a letter weighing one ounce or less, and then $0.27 for each additional ounce or fraction of an ounce. Let L(x)be the cost of mailing a letter weighing x ounces. Find L(4).
Click here to see answer by edjones(3299) About Me 

Question 105089: Thank you for any help you can give me.
*Solving Algebraic Equations - The graduate solves algebraic equations and constructs equations to solve real-world problems.
*Explain why an answer to an algebraic or numerical calculation is unreasonable.
*Task:
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.


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Question 105234: Express the phrase as a ratio in lowest terms:
7 to 10.5

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Question 105271This question is from textbook Algebra 2 with trigonometry
: Prove that and explain that x/a+y/b=1 has x intercept a and y intercept bThis question is from textbook Algebra 2 with trigonometry

Click here to see answer by edjones(3299) About Me 

Question 105511: I have these two problems that I cant finish:
1) Graph , find the asymptotes and intercepts.
2) Graph , find the asymptotes and intercepts.
I found the asymptotes and I graphed both of these functions already, but I dont know how to find the x and y intercepts for these two problems. Can someone please help me??

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Question 105579: 2p2-p-15>0
-

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Question 105770: A small company produces both bouquets and wreaths of dried flowers. The bouquets take 1 hour of labor to produce, and the wreaths take 2 hours. The labor available is limited to 80 hours per week, and the total production capacity is 60 items per week. Write a system of inequalities representing this situation, where x is the number of bouquets and y is the number of wreaths. Then graph the system of inequalities.
Click here to see answer by ankor@dixie-net.com(6693) About Me 

Question 105808This question is from textbook
: Use only quarters, nickels, and pennies to answer the question:
What is the fewest number of quarters, nickels, and pennies you can recieve in a fair exchange for 2 quarters, 9 nickels, and 8 pennies.
I know this should probably be easy but I need help!
This question is from textbook

Click here to see answer by Fombitz(2113) About Me 

Question 105814: I am not looking for any particular homework help, I would just like to get g(f(x)) explained to me. I don;t understand anything about it.
Click here to see answer by bucky(1732) About Me 

Question 106107: Find an approximate rational solution to 2x(2with exponent x) I tried to put in my TI89 as follows but it won’t give a decimal answer.
Solve(2^x=7,x)
Thanks!

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

Question 106204: the problem is as follows=== Identify all asymptotes, the y intercept, all x intercepts for the graph f(x). Then scetch the graph.
f(X)= 2x^2-5x-3
---------
x^2-9
Thanks for your help

Click here to see answer by edjones(3299) About Me 

Question 106456This question is from textbook Algebra 2
: Please help me solve this equation: 5 sqrt(6)+5 times 5 sqrt(6)This question is from textbook Algebra 2

Click here to see answer by scott8148(3385) About Me 

Question 106515: Hello,
I've never tried this before, but I'm having a lot of difficulty understanding and remembering all the steps in solving large polynomial equations. One in particular is as follows:

a)Use Descartes Chart to show all possible combinations of positive, negative, and imaginary zeros.
b)Use Rational Zero Theorem to show all possible rational zeros to the given polynomial equation.
c)Find an upper bound and lower bound for all zeros using the Bounds Theorem.
d)Using the above information and synthetic division to find all real and imaginary zeros of the polynomial.

Thank you so much in advance for all your help. This stuff is so intense, and I'd like some help finding ways to remember everything that goes into this and when to apply it. Thanks again!
Andrew

Click here to see answer by stanbon(26297) About Me 

Question 106571: I need to know how to create a set of linear equations which go through the point (1,2). I can get a ghetto answer by graphing the point and creating some lines, but I want to know how to do the problem right.
thanks

Click here to see answer by scott8148(3385) About Me 

Question 106620: I submitted my question earlier, but need to have an answer in the next 20 minutes. My question is as follows, and is not out of textbook: What are the intercepts and coordinates of x,y, and the domain from the equation f(x) = 4x^5 +3x^4 - 2x^2 + 7?
Click here to see answer by stanbon(26297) About Me 

Question 106768: Graph the parabola y-2 = (x-5)^2 and clearly indicate its vertex and axis of symmetry.
Thanks!

Click here to see answer by stanbon(26297) About Me 

Question 106821: add. x/12 + 3x/12
I came up with 4x^2 - just want to make sure I am doing the steps correctly

Click here to see answer by edjones(3299) About Me 

Question 106931: Could someone help me with this tonight?!
Which of the following functions would have even symmetry?
y = 2x
y = 3x^3
y = 5x^2 + 3
y = 2x - 5
Thank you!

Click here to see answer by cheesey(22) About Me 

Question 106927: I really need to get this answered tonight, PLEASE!! This is not in my textbook.
Divide the following using synthetic division:
x + 5 / 5x^5 - 3x^4 + 2x^3 - 6x^2 + 8x - 15

Click here to see answer by cheesey(22) About Me 

Question 107011: A bacteria culture started with a count of 720 at 8:00 A.M., and after
t hours is expected to grow to f(t)=720(3/2)t Estimate the number of
bacteria in the culture at 11:00 A.M. the same day.
a. 1620
b. 2160
c. 2430
d. 2880

Click here to see answer by checkley75(3666) About Me 

Question 106966: Convert each quadratic function into vertex form. State the vertex, axis of symmetry, and direction of opening:
1. y = 2x^2-4x+3

Click here to see answer by scott8148(3385) About Me 

Question 107006: The degree three polynomial f(x) with real coefficients and leading
coefficient 1, has –3 and + 4i among its roots. Express f(x) as a
product of linear and quadratic polynomials with real coefficients.
a. f (x) = (x + 3)(x2 +16)
b. f (x) = (x + 3)(x 2 + 8x +16)
c. f (x) = (x + 3)(x 2 − 8x +16)
d. f (x) = (x − 3)(x 2 +16)

Click here to see answer by scott8148(3385) About Me 

Question 107007: Find the inverse of the function f(x) = x1/3 + 2.
a. (x - 2)^3
b. x1/3 + 2
c. (y - 2)3
d. Doesn’t exist

Click here to see answer by edjones(3299) About Me 

Question 106877: Here is one of the hardest problems I have even seen! Can you please see if you can help with this one? I feel like I can write some functions, but I am really confused.
CAN YOU PLEASE HELP ME WORK THIS PROBLEM OUT IN FULL PLEASE?
Product x: Each item sold produces $100 profit
Labor cost: is 3 hours for assembly, 1 hour in detail work, and 2 hours for QA & packing product.
Product y: Each item sold produces $150 profit
Labor cost: is 5 hours for assembly, 3 hour in detail work, and 2 hours for QA & packing product.
Company has these hours available for production for each accounting period:
3900 hours for assembly, 2100 hours for detail work, & 2200 hours for QA & packing.
Questions are:
1) How many products of both x & y should be produced to make a max & min profit?
2) Now what if product y profit goes up to $170 each. How many products are needed to make a max & min profit?
I know this is not an easy question, but do you think you could help with this question please? Thank you kindly.

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

Question 107025: X2+Y2=25
Is solving this problem considered a function?
How do I plot a graph using a smooth curve for this problem?
Ed

Click here to see answer by Fombitz(2113) About Me 

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