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 135260: Given the functions f(x) = -x2 + 2x + 3 and g(x) = (x-2)2, find g(f(x)). Simplify to remove all parentheses.
thanks for all the help!

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Question 135286:
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Question 135304This question is from textbook Statistics
: the growing seasons for a random sample of 35 U.S. cities were recorded, yielding a sample mean of 190.7 days and a sample standard deviation of 54.2 days. Estimate the true mean population of the growing season with 95% confidence.This question is from textbook Statistics

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Question 135158: square root 2x-1 +8=x
please help!!!

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Question 135371: I need help writing a polynomial function that is suppost to represent a roller coaster design. It must meet these requirements:
1. starts at a height of 200 ft
2. dives below the ground at t= 3 seconds
3. comes out of the ground at t = 5 seconds, then climbs to another peak and
4. dives beneath the ground agai at t = 10 seconds.
t = time.

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Question 135704This question is from textbook McDougal Littell Algebra 2
: I need help with a homework question,please. It's on solving rational equations.
I am suppose to use Least Common Denominatoe to find the solution, so, I'd really appreciate the help!
This question is from textbook McDougal Littell Algebra 2

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Question 135951: Hi could you help me sketch a graph of this rational function.
y=x/x(x-2)
Thank you

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Question 135952: For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.
y=-2(x-8)/(8-x)
I appreciate the help

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Question 136115: Hi could you help me with this?
For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.
y=x/x-3
Thanks

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Question 136117: hey i need help with this problem......
For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.
y= x+5/(x-2)(x-3)
Thanks alot!!

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Question 136117: hey i need help with this problem......
For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.
y= x+5/(x-2)(x-3)
Thanks alot!!

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Question 136116: Hi heres one more..
For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.
y = 3/(x-1) -2
thanks

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Question 136237: hey the chapter im working on is called rational functions. The section im working on is called inverse variation. Could you help me with this problem on variations?
Write a function that models each variation.
x=3 and y=12 when z=2. z varies directly with y and inversely with x.
thanks for the help

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Question 136808: Simplify the rational equation
2x^2- 12x +18/2x^2-18

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Question 136847This question is from textbook HOlt
: How do I find the domain?This question is from textbook HOlt

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Question 137138This question is from textbook College Algebra
: x-4Square root x+3=0
This is how far I got (x-4)=(Square root x+3)
This question is from textbook College Algebra

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Question 137150This question is from textbook College Algebra
: Solve for x: f(x)=2x^3+3x^2-8x+3=0
How can I find all possible roots and for this polynomial. How can I sketch a graph of this?
My instructor also uses synthetic divsion after he finds the first root and factor.
This question is from textbook College Algebra

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Question 137151This question is from textbook College Algebra
: How would I solve this inequality? 4x^2-2x<=0
I tried this 2(x^2-x)<=0 but I don't know what to do next.
This question is from textbook College Algebra

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Question 137168: Find the eequation of the line containing the given pair of points.
(-1,-6)and (-9,-2)

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Question 137148This question is from textbook College Algebra
: Solve for x: f(x)=X^4-2x^3x^2+8x-4=0
How can I find all possible roots and for this polynomial. How can I sketch a graph of this?
My instructor also uses synthetic divsion after he finds the first root and factor.
This question is from textbook College Algebra

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Question 137242: Given that u(t)=2tē-1, find the expression for u(3t)-2u(t)
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Question 137421: solve the following by factoring:
5t squared - 10t = 0
x squared - 3x - 10 = 0
if f(x) = 3x squared + 5x -2 find
f(-2)
f(4)
solve
3x squared + 19x - 14 = 0 using quadratic formula.

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Question 137509This question is from textbook functrion graph
: what are the variations of f(x)=(2x-4)/xThis question is from textbook functrion graph

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Question 137522: Find the horizontal asymptote, if any of the rational function.
f(x)=8x^4+7x-8/x^2-8

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Question 137522: Find the horizontal asymptote, if any of the rational function.
f(x)=8x^4+7x-8/x^2-8

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Question 137570: Given f(x)=2x-3/x-1, What are the
x-intercepts
y-intercepts
vertical asymptotes
horizontal asymptotes
slant asyptote
Thank you so much!!!

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Question 137602: Find only the rational zeros.
x^4+4x^3+15x^2-16x-44

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Question 137742: How do you simplify: 8a^3-125 over 2a^2+a-15
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Question 138225: Given y=9x^2-6x+3,
What is the equation of the axis of symmetry? a)x=2/3 b)x=-1/3 c)x=-2/3 d)x=1/3
what are the coordinates of the vertex?
Y-intercepts:
X-intercepts:
I think it opens up, but that is as far as i got...
I appreciate any help! Thank you!

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Question 138276: Find the horizontal and vertical asymptotes of R(x)= x^3-1/x^3+1
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Question 138276: Find the horizontal and vertical asymptotes of R(x)= x^3-1/x^3+1
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Question 138444: What does nth mean?
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Question 138578: f(x)=16x^2+40x+25
What is the y-intercept?
What is the x-intercept?

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Question 138577: I need to slove by completing the square
m^2-1/2 m=7/2

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Question 138566: Can you help me solve the following-
Solve 8x+x(x-5)=0
I need to find the x-intercepts of f(x)=8x+x(x-5)
a.)what are the solutions?
x=
b.)What are the x-intercepts?

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Question 138594: Solve for x
x^2+52=12x
How do I solve for x?

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Question 138711: f(x)16x^2+40x+25
what is the y-intercept and what is the x-intercept

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Question 138723This question is from textbook
: It takes a child 3 times longer to vacuum a house than an adult. If it takes one hour for 1 adult and 1 child working together to vacuum a house how long would it take each person working alone?This question is from textbook

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Question 138739This question is from textbook
: One carpenter can complete a kitchen in 8 days. With the help of another carpenter, they can do the job together in 4 days. How long would it take the second carpenter if he worked alone?This question is from textbook

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Question 138800: solve:_ 1) (x+16)^=36

2)y^=16=36
3) (z-s)^=36

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Question 138797: find the vertex of the parabola represented by each equation.
1) y=2x^-6x+6
2) y=3x^+4x=5

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Question 138865: (1/216)^-1/3
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Question 138989: Frustrated with dealing with teh USEPA about the air pollution at his plant. Ricky took his cell phone and threw it off the top of his office building. the height h(t) of the falling cell phone at time (t) is described by the function:
h(t) = -16t^2 +64t +192
a) When will Ricky's phone be at height of 240 feet?
b) How many seconds will it take before Ricky's phone hits the ground?

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Question 138989: Frustrated with dealing with teh USEPA about the air pollution at his plant. Ricky took his cell phone and threw it off the top of his office building. the height h(t) of the falling cell phone at time (t) is described by the function:
h(t) = -16t^2 +64t +192
a) When will Ricky's phone be at height of 240 feet?
b) How many seconds will it take before Ricky's phone hits the ground?

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Question 139038: the formula t=40(25+1.85a)/50-1.85a relates the time in min. that take to cook an average size potatoe in an oven that is at an altidue of a thousands of feet.
calculate the time it takes to cook a potatoe at an altitude of 3500 ft. and about how long will it take to cook a potatoe at an altitude of 7000 ft?




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