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

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Question 589321: Is my simplifying of this equation correct?
(x+2)^2/x^2+3x+2 = 2/3x
Click here to see answer by richwmiller(9135)

Question 589530: I dont understand this question. it says to find the following (if they exist) and write them in proper manner:
f(x)= -x^3 + x/x^2-4
it asks to find the domain which i have: (-infinity, -2)U (-2,2)U2,infinity)
x-intercepts:
y-intercepts:
hole(s):
vertical asymptotes:
horizontal asymptotes:
slant asymptote:
Graph
its alot for one question but thats the whole question :/
Click here to see answer by John10(245)

Question 591815: x^2+6x+34=0
Click here to see answer by jim_thompson5910(28545)

Question 592091: what is the least common denominator of 3/x+5/x
Click here to see answer by mananth(12270)

Question 592428: Find the Factors Of
X^2-8x=12
X^2-4

Click here to see answer by stanbon(57290)

Question 592753: Find the critical point of the function Then, determine whether the point represents a maximum, minimum, or a point of inflection.
Okay, I did this problem by hand and simplified the equation down to -2x^2+4x-7 using order of operations; I squared x-1, multplied the answer by -2, and subtracted 3 from that answer. Then I tried using the quadratic formula, but it didn't turn out. So I graphed my simplified equation (-2x^2+4x-7) and came up with an upside-down hyperbola with the max point at -5. Is this my answer? And if it is, how do I show my work for this since I used my calculator to graph?
If this is wrong, please show me where I strayed and how to get to the correct answer. Any help you can give me will be greatly appreciated. Thank you and God bless you for your time!
Click here to see answer by richwmiller(9135)

Question 592763: What is the solution set of the equation?
3x-9 -3x
----- = ----
x-3 2
When I worked this problem out, I got {-3, 2}
But the answer is {-2} I don't understand how they got that.
My work:
3x-9 *(2) = -3x * x-3
---- -----
x-3 2
6x -18 -3x^2 +9x
------- = -----------
(x-3)(2) (2)(x-3)
(Subtract 6x -18 to get it on one side.)
-3x^2 +9x -6x -18
----------------- SIGN ERROR S/B +18
(x-3)(2)
Combine like terms
-3x^2 +3x -18
---------------
(x-3)(2)
(Factor)
(-3)(-18) =54
-3x^2 -6x +9x-18
----------------
(x-3)(2)

3x(x-2) 9(x-2)
(3x+9)(x-2)
3x+9=0
-9 -9
3x=-9
/3 /3
x=-3
x-2=0
+2
x=2

I really don't understand how to solve this.

Click here to see answer by solver91311(16877)

Question 592806: find the root of the polynomial equation x^(3)-5x^(2)+7x-35=0
Click here to see answer by xavier_daniels18(1)

Question 592840: Identify the y-intercept and the axis of symmetry for the graph of f(x)=-3x^2+6x+12.
Click here to see answer by rfer(12657)

Question 592838: Solve x^2=6x-8 by graphing. If exact roots cannot be found, state the consecutive integers between which the roots are located.
Click here to see answer by rfer(12657)

Question 592852: why isn't (1,3) (2,2) (1,5) (2,6) a function
Click here to see answer by jim_thompson5910(28545)

Question 592852: why isn't (1,3) (2,2) (1,5) (2,6) a function
Click here to see answer by lwsshak3(6490)

Question 592856: I am curious as how to accurately solve for X in the problem:
√3-X(Numerator)
√2x(Denominator)
equals 2
I have squared both sides leading me to (3-x)/(2x)=4 However, I do not know what to do after that step. I have tried elimination but do not get the right answer. I would greatly appreciate help on this subject. Thank you.
Click here to see answer by ankor@dixie-net.com(15646)

Question 593046: I need help on how to solve this equation its factoring by grouping. I tried it but I thin I did it wrong

Problem: x^3+x^2-4x-4

Click here to see answer by solver91311(16877)

Question 593614: Write a polynomial function in standard form with the given zeros -3 , -2, 0, 2
Click here to see answer by htmentor(789)

Question 593910: Give an equation of the form f(x)=a^x to define the exponential function whose graph contains the point (4,81).
Click here to see answer by jim_thompson5910(28545)

Question 593935: Solve 3/w=9/w-1/11
Click here to see answer by jim_thompson5910(28545)

Question 594692: find the domain of the functions g(x)= 2x/x^2-36
Click here to see answer by math33(31)

Question 594671: Find the remaining zeros of of f(x) given that c is a zero. Then re-write f(x) in a completely factored form.
f(x)=2x^3+15x^2+22x-15; c=1/2 is a zero.
Click here to see answer by lwsshak3(6490)

Question 594782: x^3+x^2-4x+4=0
Click here to see answer by richwmiller(9135)

Question 594872: Hello there. I've been gone for school for two weeks and in need of help with Polynomials and graphing polynomials. Please help me solve this equation
Click here to see answer by Alan3354(30993)

Question 594939: Solve using quadratic formula:
1.) 3a^2=6a-3
2.) x^2=-3x+40
3.) 9x^2-11=6x
4.) 4a^2-8+a
Thank you
Click here to see answer by Alan3354(30993)

Question 594748:
Click here to see answer by ankor@dixie-net.com(15646)

Question 595020: (e/R+r)=I how do i solve for R?
Click here to see answer by Alan3354(30993)

Question 595136: (2/3)+(5/(y-4))=(y+6)/(3y-12). Solve the equation and check your solution. If there is no solution, say so. I saw on another post that the answer is(-1/3) and 9. How can this be? I tried the quadratic equation, but that just made me even more confused. I tried factoring the denominators, but I don't know what to do next. Please help. If I could figure out what the first step should be, I could do it. Thanks so much!
Click here to see answer by mananth(12270)

Question 595236: Train A and B are traveling in the same direction on parallel tracks. Train A is traveling 60 miles per hour. And train B is traveling 64 miles per hour. Train A passes station at 12:20 A.M. If train B passes the same diretion at 12:50 A.M, at what time will train B catch up to train A?

What time will train B catch up to train A?
Click here to see answer by ankor@dixie-net.com(15646)

Question 595481: write the following equation in standard form
x2 + y2 - 2x+6y - 15 = 0
Click here to see answer by mamiya(56)

Question 595761: Use the function y=a(x+3)(2x+18). What are the x-intercepts of the function's graph? What are the coordinates of the graph's vertex?
Click here to see answer by lwsshak3(6490)

Question 595724: 4^sqrt(40353607)
Click here to see answer by Alan3354(30993)

Question 595731: Solve each equation for y and identify the slope and y-intercept. Type any "mx" portion expressed as a fraction in the following manner.
Example: y = 7x/8 + 4
x + y = 6
Click here to see answer by Alan3354(30993)

Question 595766: An arrow shot into the air is 160t-4.9t^2 meters above the ground t seconds after its released. During what period(s) of time is the arrow below 117.6 meters? Round your answer to the nearest .01 second.
A) t<0.75 and t>31.90 seconds
B) t<8.65 and t> 24 seconds
C)0.75 D) 8.65
Click here to see answer by lwsshak3(6490)

Question 595870: SOLVE
x^2-10x+29=0
ANSWER CHOICES
A. -5 +4i, -5-4i
B. -5 +2i, -5-2i
C. 5 +4i, 5-4i
D. 5 +2i, 5-2i
Click here to see answer by jim_thompson5910(28545)

Question 595884: 1. Let f(x)= (x^2)-5 and g(x)= (3x)^2. Find g(f(x)).
ANSWER CHOICES
A. (3x^4)-(30x^2)+75
B. (3x^4)-15
C. (3x^4)-5
D. (9x^4)-5
2. Let f(x)= (x^2)-4 and g(x)= (-3x)^2. Find f(g(x)).
ANSWER CHOICES
A.(-3x^4)+12
B.(-3x^4)+ (24x^2)-48
C.(9x^4)-4
D.(-3x^4)-4
NOTE: Please help me with both questions.

Click here to see answer by jim_thompson5910(28545)

Question 595876: SOLVE.
3x^2+x=-9
ANSWER CHOICES
A.(1 + i√109)/6 , (1-i√109)/6
B.(1 + i√107)/6 , (1-i√107)/6
C.(-1 + i√107)/6 , (-1-i√107)/6
D.(-1 + i√109)/6 , (-1-i√109)/6
Click here to see answer by jim_thompson5910(28545)

Question 595906: determine if the function f(x)=x^5+1 is an even or odd
Click here to see answer by lwsshak3(6490)

Question 595971: Graph the linear equation: y=2x
*TABLE*
X / Y
----------
0 / ?
-3 / ?
1 / ?

Click here to see answer by math33(31)

Question 595975: A drug is injected into a patient and the concentration of the drug in the bloodstream is monitored. The drug's concentration, C(t), in milligrams per liter, after t hours is modeled by
C(t)=5t/t^2+1
a. what is the drug concentration after 3 hours.
b. find the horizontal asymptote. describe what this means about the drug's concentration in the patients bloodstream as time increases.
Click here to see answer by math33(31)

Question 596005: A soup can that is a cylinder has a radius of 2x - 1 and a height of 3x. What is the surface area of the soup can?
Click here to see answer by math-vortex(472)

Question 596274: The vertices of Triangle ABC are A (2,1), B (3,3), and C (4,0). Find the image after the given composition.
Translation:(x,y)--> (x- 6, y- 4)
Dilation: centered at the origin with a scale factor of 3

Click here to see answer by jim_thompson5910(28545)

Question 596582: Find the x-intercept(s) of f(x)=(x^2+10x+24)/(x^2-2x+1).
Click here to see answer by lwsshak3(6490)

Question 596812: if s=3q and q=4 what is the value of 3s?
Click here to see answer by jim_thompson5910(28545)

Question 596813: if s=3q and q=4 what is the value of 3s?
Click here to see answer by jim_thompson5910(28545)

Question 596805: Find the solution set to this inequality
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Click here to see answer by AnlytcPhil(1276)

Question 596973: Graph the function: y = 4sin 2theta
Click here to see answer by jim_thompson5910(28545)

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