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

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Question 28283: I'm really lost at math. It's been about 19 years and I'm back in college. College algebra has been given to me without taking a refresher course. I am ohhh so lost. I have a 2-part question and would appreciate if someone would show me step by step how to do these.
1)For the equation x-2 sqrt of x = 0, solve for all values of x that satisfies the question.
2)Graph the functions y=x and y=2 sqrt of x on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.
Thank you so much.

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

Question 28424: For the function y = x2 - 6x + 8, perform the following tasks:
a)Put the function in the form y = a(x - h)2 + k.
Answer:
Show work in this space.


b)What is the line of symmetry?
Answer:



c)Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k.
Show graph here.

Explanation of graphing.

d)In your own words, describe how this graph compares the graph of y = x2?
Answer:



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Question 28481: Solve using the square root property:

(x + 8)2 = 81
What are the steps

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Question 28483: Solve by completing the square:

x2 + 8x + 13 = 0

Show in steps please

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Question 28482: Solve using the quadratic equation:
3x^2 – 2x = 15x – 10
How would this work out??

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Question 28480: Quadratic Equations
Solve by factoring:
x2 – 9x = -20
So lost

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Question 28478: Rationalize the denominator:
2____
√[6] - √[5]
This one really lost me, can you show the steps???

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Question 28491: X^2/4-X/1=5/4
Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 28506: Simply the Rational Expression
X^2-4X-12/6X^2-216
Could You please answer and explain it
Thank You

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Question 28540: Please help me: Graph the function
f(x)= -3

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Question 28353: Let f(x)= 3x+5 and g(x)= x*squared*
1. f(x)+ g(x)


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Question 28479: Simplify:

√[144x10y12z18]
One last one, please show steps

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 28477: Multiply:
(5√[2] + 3)(√[2] - 2√[3])
Please show howyou get the answer??

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Question 28570: This word problem has got me stumped. Any help you can provide would be appreciated.
The percent of deaths caused by smoking is modeled by the rational funtion defined by: P(X)=X-1/X
where x is the number of times a smoker is more likely to die of lung cancer than a nonsmoker. x is equal to 10.
Please help me find:
a. p(x) if x is 10
b. For what values of x is p(x) = 80%
c. Can the incidence rate equal zero, explain.
I know this is asking alot, but I have been over this several times, and can't even figure out where to begin.
Thanks!
Lisa

Click here to see answer by venugopalramana(3286) About Me 

Question 28739: I have to complete the square and dont understand how you do it. Can you explain???
Ex1: X squared - 2X-5=0
EX2:Ysquared + 8y+6=0

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Question 28911: f(x)=5x^2-3x, what is the value of f(3)?
i am practicing for the SAT i keep getting 36
and the book say the correct answer is 18

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Question 28917: I am totally lost,
I'm suppose to solve the inequality and then graph
absolute value x+4 end of absolute value less than 6
please help

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Question 29099: Please help me solve the equation (x^2-3x)/(4x^2-3x)*(4x^2-16)
I have tried to follow the instructions in my book by factoring it to:
x(x-3)/4x(x-2)*(2x+4)(2x-4)
can you please show the problem step by step since i have others like it that i would like to know how to solve
Thank You,
Alyssa

Click here to see answer by sdmmadam@yahoo.com(530) About Me 
Question 29099: Please help me solve the equation (x^2-3x)/(4x^2-3x)*(4x^2-16)
I have tried to follow the instructions in my book by factoring it to:
x(x-3)/4x(x-2)*(2x+4)(2x-4)
can you please show the problem step by step since i have others like it that i would like to know how to solve
Thank You,
Alyssa

Click here to see answer by ms.jennifer(4) About Me 

Question 29083: im having trouble figureing out these sorts of problems ive donw really good in math up until algebra 2 and now im stuck how do you take the 3rd root of -125
Click here to see answer by Earlsdon(4900) About Me 

Question 29104: Please help me solve this equation:
(x^2-2x-3/x+1)/(x^2+x-12-x^2)-1
I can not seem to get this subject at all and i Have a test tomorrow so could you please do this problems step by step
Thank You
Alyssa

Click here to see answer by sdmmadam@yahoo.com(530) About Me 
Question 29104: Please help me solve this equation:
(x^2-2x-3/x+1)/(x^2+x-12-x^2)-1
I can not seem to get this subject at all and i Have a test tomorrow so could you please do this problems step by step
Thank You
Alyssa

Click here to see answer by longjonsilver(2297) About Me 

Question 29200: graph the inequality: x <= 2
Thank you,
lyra

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Question 29201: graph the inequality:
5x + 2y < 10
Thank you,
lyra

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Question 29257: Can you please help me with Simplifying Rational Expressions?, thank you!
1) Image hosting by Photobucket
2) Image hosting by Photobucket
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4) Image hosting by Photobucket

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Question 29340: The question is: Show that the nth-order finite differences for the function f(x)= x^2 - 4x + 4 of degree n are nonzero and constant. I don't know what procedures to use that's why I couldn't try solving it. I hope that you can reply me back a.s.a.p.. I really appreciate it.. Thank You!!!
Click here to see answer by venugopalramana(3286) About Me 

Question 29454: the ratio of 2 less than a number to 6 more than that number, is 2 to 3. Find the number
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Question 29454: the ratio of 2 less than a number to 6 more than that number, is 2 to 3. Find the number
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Question 29436: Problem states: "Let P=(x,y) be a point on the graph of y= square root of x. Express the distance "d" from point P to the point (1,0) as a function of x."
I get to "square root of (x-1)^ + y^", then I'm confused. Please help

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Question 29522: how do i factor a binomial? the problem is x cubed plus 27
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Question 29528: x^3-2x^2-5x+6/x^2-4X+3
My teacher never told us how to find the vertical asymptotes for problemes with x to the 3rd power.
thanxs
FiReInThEfInGeRs@aol.com

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Question 29724: Would someone please explain factoring to me? For example, the difference of two cubes 8x^3-1, I know that 2x three times makes the first term and the cube of 1 is one-ok now I'm lost. How does this factor? Thank you in advance
Click here to see answer by stanbon(26283) About Me 

Question 29850: find (gof)(x)
f(x)=/2x/ and g(x)=-5x
I came up with -5x+/2x/ but I'm just not sure.
thanks
Lee Ann

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 28356: Divide a Rational Expression
Can you please show it in steps

2x2 + 5x – 12 ÷ 2x2 – 7x + 6
9x2 – 16 3x2 – x – 4

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Question 29912: Could you please help me with this problem
simplify as much as possible
Divided by divided by 4x-1 over x+2

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Question 29909: Could you please help me with this problem
Simplify as much as possible
over

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Question 29910: Could you please help me with this problem
Simplify as much as possible
times x+1 over 1

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Question 29911: Could you please help me with this problem
Simplify as much as possible
divided by 2x over x+2

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Question 29911: Could you please help me with this problem
Simplify as much as possible
divided by 2x over x+2

Click here to see answer by ikdeep(182) About Me 

Question 29916: Could you please help me with this problem
Simplify as much as possible
divided by divided by 4x-1 over x+2

Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 29864: Find all real zeros of the function
f(x)=75x^3+50x^2-13x-4
my book really doesn't explain the steps on how to do this.
Thanks

Click here to see answer by ikdeep(182) About Me 

Question 29917: could you please help me with this problem
simplify as much as possible
+ 2 over x-7

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Question 30001: Could you please help me with this problem
Simplify as much as possible
+ 2 over x-7

Click here to see answer by Cintchr(475) About Me 

Question 30013: Could you please hel me with this problem
Solve for x
2over 3x + 2 over 3 = 8 over x+6
thanks

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Question 28504: Find the Domain of the Rational Function
f(X)=X^2-4X-21/X^2+3X+2
Please Help,
Thank You

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