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 52421: Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point? North and east can be considered the directions of the y- and x-axis respectively.
Answer:
Show work in this space.

Click here to see answer by checkley71(8405)

Question 52578: HOW WOULD I USE SYNTHETIC DIVISION GIVEN THE POLYNOMIAL:
P(X)=X^4-4X^3-6X^2-4X-15 AND THE FACTOR THEOREM TO FIND WHETHER X-(1+2i) IS A FACTOR
THANKS TANYA
Click here to see answer by AnlytcPhil(958)

Question 52712: how do you graph the function y=x-1
Click here to see answer by rchill(405)

Question 52713: how do you graph f(x)=|x+1|+2
Click here to see answer by rchill(405)

Question 52837: I'm stuck on a couple of questions.
1.) I = E/R + r Solve for r
I can't seem to comprehend the formula to use to solve.
2.) 3/2y - 3/2y+4 Reduce the answer to lowest terms.
3.) X^-3 = 8 Solve the equation.
Any help and guidance of the formulas and steps involved would be appreciated.
Click here to see answer by Earlsdon(4900)

Question 52880: I think I'm starting to understand how to solve these types of equations. However, I think I may need a bit more "English" as to the exact steps. Could someone help me with solving x^-2 = 4.
Thanks!
Click here to see answer by ankor@dixie-net.com(6693)

Question 52976: When solving a rational equation, why it is OK to remove the denominator by multiplying both sides by the LCD and why can you not do the same operation when simplifying a rational expression?
Click here to see answer by funmath(2873)

Question 53222: Can these be done?
3x^2 + 15x + 18 = 0
1 + 3y/y-2 = 6/y-2
Click here to see answer by rchill(405)

Question 53276: How do you check to see if a function is even or odd. I know how to do it if I see the graph. Need to know algeraicly.
Click here to see answer by stanbon(26296)

Question 53769: How do I express in the simpliest form?
Add. Express your answer in simplest form.
6/3x-2+3/2x
Click here to see answer by funmath(2873)

Question 53735: can someone please show me how to graph y>[x+2]-3
NOTE THAT THE [ ] ARE ABS SIGNS

Click here to see answer by AnlytcPhil(958)

Question 53417: I am having trouble in my algebra 2 class, and the way i function is, that i need a step by step plan on how to figure out problems, my main problems are graphing step functions, and peicewise functions. Please help!
Click here to see answer by funmath(2873)

Question 54301This question is from textbook

: I am a nursing student and I am required to take college algebra. I took it on line and I am really struggling. Please help, I have to pass this class to move on to my next nursing class in January.
Use the following function definitions f(x)=-x^+2x g(x)=!3-2x!(absolute value)
h(x)=sqrt 5-x p(x)=2/x to evaluate the following: (g+h)(2)=________________
(h/p)(-3)=________________.
For part 1 I have g(2)+h(2)= 2!3-2x!+2(sqrt 5-2) =2!3-2x!+10-4
= 2!3-2x!+6
The instructor did not give an example w/ absolute value or square roots and his questions do not come from the book. We had to have cds burned at the beginning of the semester. I am not book smart and I'm just not getting this. Thanks so much for your help.This question is from textbook

Click here to see answer by stanbon(26296)

Question 54354: what is the x-coordinate of the point through which the graph of every direct variation passes?
Click here to see answer by stanbon(26296)

Question 53006: Determine whether the equation defines y as a function of x:
y = 2xsquared -3x + 4
Click here to see answer by stanbon(26296)

Question 54401: determine whether (121)^1/3 is rational or irrational. That is the 3rd root of 121.?
Click here to see answer by stanbon(26296)

Question 54469: I need help in finding the real and imaginary zeros to:
U(x)= x^4-4x^3+x^2-12x-12
Am I correct in that the possible zeros would be +-1,+-2,+-3,+-12?
Thanks.
Click here to see answer by Nate(3495)

Question 54537This question is from textbook McDougal Littell Algebra 1 concepts and skills
: i do not understand how to even start this problem. it says:
With your new lawn mower, you can mow a lawn in 4 hours. With an older mower, your friend can mow the same lawn in 5 hours. How long will it take you to mow the lawn, working together?
HELP!This question is from textbook McDougal Littell Algebra 1 concepts and skills

Click here to see answer by Nate(3495)

Question 54544This question is from textbook McDougal Littell Algebra 1 concepts and skills
: this is really confusing.
arthur can wash a car in 30 minutes, Bonnie can wash a car in 40 minutes, and Claire can wash a car in 60 minutes. How will it take them to wash a car, working together?
so, i dont get how you organize all this and get an answer.This question is from textbook McDougal Littell Algebra 1 concepts and skills

Click here to see answer by Nate(3495)

Question 54647: Write each fraction as a decimal.
3/8
Click here to see answer by tutorcecilia(2042)

Question 54850: Hi, I am trying to simplify this, can you please show me the steps?

I have tried using the simplifier at:

The simplifier gives:
(x/3)-((2x-3)/x)/((x/3)-(3/x)) simplifies to x/3-(2*x-3)/x/(x/3-3/x)
but shouldn't it simplify even further? I am trying to help my daughter but can't remember precalc...
thank you
Click here to see answer by stanbon(26296)

Question 55072: pls, help me sketch the graph 7x-3y=21`
Click here to see answer by funmath(2873)

Question 55062: pls, help me sketch the graph 7x-3y=21`
Click here to see answer by rchill(405)

Question 54562: How do you graph systems of inequalities?
Click here to see answer by rchill(405)

Question 55129: Hi,
I have a problem that says if F and G are both even and h(x)=(f*g)(x), prove that h(x) is also even. It's pretty self-explanatory, so i don't know how i'm supposed to show work for it. thanks
Click here to see answer by psbhowmick(456)

Question 55131: How do I reduce the following to its lowest form
(y2 - 2y)/(y2-y-2)
Click here to see answer by psbhowmick(456)

Question 55443: Hi there. I submitted some problems last Friday, but havent heard anything. If someone has time and is willing to lend soem brain power, I would really appreciate the help.
1. Consider the function f(x)=2.0x^3 + 4.5x^2. What are the coordinate pairs of the relative maximum and the relative minimum of f(x) in the interval {xI-3 2.In what interval or intervals is the function in problem #1 increasing or decreasing? Use set notation as in question # to indicate the answer.
3. What is the greatest integer less than -10.5?
4. Given that f(x)=x^2+6 and g(x)=x-4, find the composite function f(g(x)).
Thank you for your time.
Angela
Click here to see answer by venugopalramana(3286)

Question 55468: Another question:
Find the zero of the following function
f(x)=6x+3
Thank you,
Jass
Click here to see answer by tutorcecilia(2042)

Question 55508This question is from textbook Beginning Algebra

: This is actually an rational expression which I am sure it is a difference but here it is.
Simplify--
2r^2+3r-20s^2 from 4r^2-25s^2.This question is from textbook Beginning Algebra

Click here to see answer by tutorcecilia(2042)

Question 55513This question is from textbook Beginning Algebra

: Rational expressions.
Divide.

6p-18 3p-9
----- / ------
9p p^2+2pThis question is from textbook Beginning Algebra

Click here to see answer by tutorcecilia(2042)

Question 55534: Under what conditions is 2d(d+1)/(d+1)(d^2-4) undefined?
Click here to see answer by funmath(2873)

Question 55512This question is from textbook Beginning Algebra

: rational expressions.
Multiply
2x^2-x-3 3x^2-11x-20
-------- * -----------
3x^2+7x+4 4x^2-9 This question is from textbook Beginning Algebra

Click here to see answer by funmath(2873)

Question 55532: Graph f(x)= x/(x+1)
Click here to see answer by tutorcecilia(2042)

Question 55612This question is from textbook

: What does a rational function look like (example: f(x)=x+5 / (over) X+1This question is from textbook

Click here to see answer by Edwin McCravy(2922)

Question 56063: If f(x) = 5x - 7, what is f -1(x)?
Thank you
Click here to see answer by stanbon(26296)

Question 56062: If f(x) = 4x - 6, what is f(-3)?
Thank you
Click here to see answer by stanbon(26296)

Question 56062: If f(x) = 4x - 6, what is f(-3)?
Thank you
Click here to see answer by Lacey020991(49)

Question 56061: If f(x) = 2x and g(x) = x-4, what is the value of f[g(3)]?
Thank you
Click here to see answer by stanbon(26296)

Question 56064: If f(x) = 2x + 3 and g(x) = (x - 3)/2, what is the value of f[g(-5)]?
Click here to see answer by jenrobrody(19)

Question 56064: If f(x) = 2x + 3 and g(x) = (x - 3)/2, what is the value of f[g(-5)]?
Click here to see answer by Edwin McCravy(2922)

Question 56064: If f(x) = 2x + 3 and g(x) = (x - 3)/2, what is the value of f[g(-5)]?
Click here to see answer by aaaaaaaa(138)

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