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 159666: 1-1/x+2 divided by 1+1/x+2
Thank You

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Question 159736: 6. If each of two independent file servers has a reliability of 93% and either alone can run the web site, then the overall web site availability is
A) 0.9522
B) 0.8649
C) 0.9300
D) 0.9951


7. In a certain sample space, the following probabilities are given:

P(A  B) is equal to
A) 0.171
B) 0.525
C) 0.120
D) 0.571

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Question 159836: The reciprocal of two more than a number is three fourths of the reciprocal of the number itself. What is the number?
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Question 159840: The reciprocal of a number plus the reciprocal of three times the number equals 1/3. Find the number.
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Question 159839: The additive inverse of a number divided by twelve is the same as one less than three times its reciprocal. Find the number
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Question 159839: The additive inverse of a number divided by twelve is the same as one less than three times its reciprocal. Find the number
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Question 159837: The reciprocal of an integer plus the reciprocal of two times the integer plus two equals 2/3. Find the integer
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Question 160004: (4/(x+2)) + 3 = (3x/(x-3))
I do not need to graph, I just need to solve the equation (A rational equation, involving factoring and LCDs) and I am having some problems. The steps that I have are listed below:
4(x-3) + 3(x+2)(x+3) = 3x(x+2)
(4x-12)(3x+6)(3x-9) = 3x^2 + 6x
10x - 15 = 3x^2 + 6x
0 = 3x^2 - 4x + 15
I'm not sure if I did this problem correctly but I cannot seem to factor this equation for the correct answer.

Click here to see answer by KnightOwlTutor(292) About Me 

Question 160005: I thought I submitted this yesterday, but I did not get any answers on it. I need to see if I came up with the correct answers. The * sign is used as the mulitplication sign in this problem.

Problem #1)
x-6/x-3 = 2x/x-3
x-3/1 (x-6/x-3) = x-3/1 (2x/x-3)
x(x-3/1) - x-3/1 * 6/x-3 = 2x
x^2 - 3x-6 = 2x
-2x -2x
x^2 - 5x-6 = 0
(x+1)(x-6) = 0
x=-3 x=6

Problem #2 Word problem
In a city of 25,000 homes, a survey was taken to determine the number with cable television. Of the 300 homes survey, 210 had cable television. Estimate the number of homes in the city that had cable television.
210/300 = x/25,000
25,000 * 210/300 = x/25,000 * 25,000
17,500 = x
Thanks for you help

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Question 160080: Solve for y
2x+5=y-1/y+4

Thank You

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Question 160081This question is from textbook Prentice-Hall Algebra 2
: How would I write the equation in standard form where slope = -1;(0,7)This question is from textbook Prentice-Hall Algebra 2

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Question 160192: The equation of the line that goes through the point(3,4) and is parallel to the line going through the points (-6,6) and (1,3) can be written in the form y=mx+b where
m=
b=
I am having difficulty with the second part only m=-3/7

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Question 160196: Find an equation of the circle with center at(-8,7) and passing through(1,-4) in the form of where A,B,C are constant. Then
A=
B=
C=
Ive already have the answers for A B they are -8,7 I just how to find C if the radius is not provided

Click here to see answer by Edwin McCravy(2922) About Me 
Question 160196: Find an equation of the circle with center at(-8,7) and passing through(1,-4) in the form of where A,B,C are constant. Then
A=
B=
C=
Ive already have the answers for A B they are -8,7 I just how to find C if the radius is not provided

Click here to see answer by nerdybill(2446) About Me 

Question 160207: Find an equation of the circle with center at(3,-1) that is tangent to the y-axis in the form of where A,B,C are constant.Then
A=
B=
C=
I already have the answers to A and B they are 3 and -1 but I do not know C and I have tried to substitute 3 and -1 for a and b

Click here to see answer by Edwin McCravy(2922) About Me 

Question 160205: Consider triangle ABC in the plane where
A=(-1,15)
B=(-6,8)
C=(-27,23)


Find the lengths of the sides of the triangle:
AB=
BC=
AC=

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Question 160330: Hi,
x+8 divided by x squared -x-72 can u please help me solve this ..thanks

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Question 160396: reduce rational expression terms; there are no non-zeros

1) a square -b square over a-b
2) 3x-6 over x square- 4x+4

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Question 160593: Complete the square in each quadratic function, placing the final answer in the fom of y=a(x-h)^2+k: 1. y=x^2 -6x+16 2.y=3x^2 -6x+7 . Could any one help with these?
Click here to see answer by MathLover1(1183) About Me 

Question 160628This question is from textbook Algebra 2
: Believe it or not, I am a teacher and I cannot solve this problem. Help!
Juan scored 5 more 2-point shots than 3-point shots in his Friday bb game. He scored 2 fewer free throw shots than 3 point shots. He scored 26 points all together. How many of each did he shoot?
I got
x= y + 5
x= z-2
3x + 2y + z = 26
Where did I go wrong?
Megan
This question is from textbook Algebra 2

Click here to see answer by jojo14344(1483) About Me 

Question 160659This question is from textbook saxon algebra 2
: -2(2x-3)-2^3-3=-x-(-4)This question is from textbook saxon algebra 2

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Question 160655This question is from textbook saxon algebra 2
: show how to check that 28 increased by 80% is 50.4This question is from textbook saxon algebra 2

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Question 160762: I submitted the following problems for some help. I got no response and wanted to try again. If someone could help me I would be thankful.find the axis of symmetry and the vertex from each parabolic function. A. y=2x^2 -24x+22 B.y=x^2-3x-5
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Question 160952: Would anyone be willing to help with these two problems. first reads. Graph the given relation by the table method. Determine whether the relation is a function. A. 2x-y=4 x= 0,2,4 y=____ . Second problem reads . Find the axis of symmetry and the vertex from each parabolic function. A. y=x^2-3x-5 ____ . These are the last of 72 questions I have done if anyone could help I would appreciate it thanks.
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Question 160936: graph y=x
graph y=x^2

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Question 160957: Ihave three problems that my father brought to my attention. H etried to do them and could not figure them out. I for the life of me can't either. Hetold me someone said they some sort of algebra called grinding.Can someone help? Question is: Write the minimum or maximum point for each function,and give the coordinates for that point. 1. y=x^2-4x+1 hint start at 0 and increase. 2. y=x^2-8x-5 hint start at 2 and increase. 3. y=-2^2+2x+6 hint start at -1 and increase. Can anyone help us with these.
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Question 160962: 2/5x+10=0
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Question 161116: Gloria has some change in her wallet that is made up of nickels and dimes. There are 4 more nickels than dimes. The value of the soins is $2.60. Using a system of equations, find the number of nickels Gloria has in her walllet.
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Question 161432: Can you help with this one? Thanks
Build the rational expression into an equivalent rational expression with the indicated denominator.
-7yt/3x=?/18xyt

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Question 161432: Can you help with this one? Thanks
Build the rational expression into an equivalent rational expression with the indicated denominator.
-7yt/3x=?/18xyt

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Question 161455This question is from textbook
: x/4x-4+5/x^2-1=1/4This question is from textbook

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Question 161500: Hi, I was having problems with graphing and writing equations for graphs. The question asks "write and equation of for the following lines."
a) the line passing through (-7,6) and (42, 5).
b) the line perpendicular to y = 3+5x tht passes though the point (0,1)
Could you please help me figure out how to do this?
Thank you,
Ajeenah

Click here to see answer by scott8148(3382) About Me 
Question 161500: Hi, I was having problems with graphing and writing equations for graphs. The question asks "write and equation of for the following lines."
a) the line passing through (-7,6) and (42, 5).
b) the line perpendicular to y = 3+5x tht passes though the point (0,1)
Could you please help me figure out how to do this?
Thank you,
Ajeenah

Click here to see answer by gonzo(654) About Me 

Question 161518: I have a worksheet and have two questions for you. I am totally lost.
1. Solve 3+2(1-x)>6 or 2x+14< or eual to 8. Graph the solution set on a number line. For this one one of the solutions I came up with is x < or equal to 11. Not sure on the other one.
2. Solve 3+ absolute value 2y-1 absolute value > or equal to 1. Graph the solution set on a number line.
Please help..
Thanks

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Question 161527: I have a worksheet that I need help on.
It is a word problem:
Afurniture company displays bedroom sets which require 21 square meters of space and living room sets which require 42 square meters of space. The company, which has 546 square meters of available space, wants to display at least 6 bed room sets and at least 5 living room sets.
Let x represent the number of bedroom sets and y represent the number of living room sets. Write a system of inequalities to represent the number of furniture sets that can be displayed.
Show all work.
Please help
Thanks

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Question 161607This question is from textbook College Algebra
: Another Inverse and Joint Variation question.
Chemistry Gas Laws. The volume V of an ideal gas varies directly with the temperature T and inversely with the pressure P. Write an equation relating V,T, and P using k as the constant of proportionality. If a cylinder contains oxygen at a temperature of 300 K and a pressure of 15 atmospheres in a volume of 100 liters, what is the constant of proportionality k? If a pistion is lowered into the cylinder, decreasing the volume occupied by the gas to 80 liters and raising the temperature to 310 K, what is the gas pressure.
This question is from textbook College Algebra

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Question 161676: write the ratio of 4 1/3 to 6 in simplest form
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Question 161606This question is from textbook college algebra
: Problem is under Inverse and Joint variation.
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic cnetimeters (cm3) when the pressure is 150 millimeter of mercury (mm Hg), find the volume when the pressure is 200 mm Hg.
This question is from textbook college algebra

Click here to see answer by ankor@dixie-net.com(6693) About Me 
Question 161606This question is from textbook college algebra
: Problem is under Inverse and Joint variation.
The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume of a gas is 600 cubic cnetimeters (cm3) when the pressure is 150 millimeter of mercury (mm Hg), find the volume when the pressure is 200 mm Hg.
This question is from textbook college algebra

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Question 161817: 3/(8x+1)+8/(2x+5)=1
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Question 162046: help me solve this equation: h(x)=x+10/7
This is not an equation; this is a function which can only be solve if you substitute the variable x with a constant....usually these types of problems are stated as follows:
Given h(x)=x+10/7 find h(3)

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Question 162211This question is from textbook
: ( f of g )(x) and (g of f)(x)

f(x)= 2 ( exponential x ) , g(x)= 5 ( exponential x )
This question is from textbook

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Question 162205This question is from textbook
: Find ( f + g )( -1/2 ) and ( f - g )( 1 )
f(x)=6x , g(x)= absolute value of x
(f+g)(-1/2)= f(-1/2) + g(-1/2)
=6(-1/2) + |-1/2|
=-6/2 + 1/2
=-5/2
*****************
(f-g)(1)= f(1)-g(1)
=6(1)-|1|
=6-1
=5
This question is from textbook

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Question 162298: how do i solve inequality and graph x+y<5
x<2

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Question 161701: Find an equation of the line containing (-1, 3) and perpendicular to the line containing (3, -5) and (-2, 7).
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