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

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Question 119617: Hey, I need help with identities in chapter 6 lesson 6 of my book entitled Rational Expressions and Equations it says as follows: Equations that are true for all acceptable replacements of the variable are identities. Determine which equations areidenties.
problem as follows: xsquared + 6x - 16/ x-2 = x + 8
I also need help with solving rational expressions.
This is algebra 2
Thank you so much
I can realy use the help I need to bring up my grade cause I am realy worried about my G.P.A. because I want to get into a very good college.
Thanks again

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Question 119630: please help me solve this problem list all possible zeros, find all zeros
1.f(x)= x^4+2x^3-11x^2+8x-60
2.f(x)= x^4-8x^3-8x^22x^2-8x-39

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Question 119632: Please help me.
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Question 119878: I need your help. I am not the greatest when it comes to solving functions.
x^2=1+y^2....is this a function or not
is this correct?
y=square root x-1
x-1>0 or x>1
domain [1,infin)
range [0,infin)
no function
Is this correct?
y=2x-3
2(1)-3=-1 2(2)-3=1
domain (2,1) range (1,-1)
Please help.

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Question 119978: which set of ordered pairs represents a function?
a.(3,4),(4,5),(5,6),(3,7)
b.(3,6),(3,9),(3,12),(3,15)
c.(3,4),(3,5),(3,6),(3,7)
d.(3,4),(5,6),(7,8),(9,10)

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Question 114736: y-2x=0
y=6x-10

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Question 120155: How do i graph the function y=(1/2)to the x
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Question 120392: please help me solve this problem-What is the x-intercept of y-2=3(x-3)?
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Question 120782This question is from textbook
: Pleas help me find the domain of the rational functions f(x)=3x-2/x-3. Thankyou.
This question is from textbook

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Question 120833:
y=X+2

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Question 120857:
y=X+2

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Question 120911: the table shows the average fuel consumption ( in gallons) of a passenger car between 1970 and 1996



-------------------------------------------------
year,t(x)**0**5**10**15**20**25**26
-------------------------------------------------
average fuel
consumption, **760**695**576**559**520**530**531
F(y)
--------------------------------------------------
sorry for the above it is meaning to be a table telling the X and Y points and the stars are seperating the numbers
so the question is
1) Write quadratic model for the average fuel consumption F, as a function of time T, where T is the number of years since 1970.
i greatly appreciate the help

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Question 120979: the process is elimination by substitution. Equation(1) x+y over 2 minus x-y over 3 equals 8. Equation(2) x+y over 3 plus x-y over 4 equals 11
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Question 121045: Simplify the cube root of (x^2-8x+16)^9
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Question 121441This question is from textbook
: y=3x-3

i don't understand how to work this problem out.
This question is from textbook

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Question 121441This question is from textbook
: y=3x-3

i don't understand how to work this problem out.
This question is from textbook

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Question 122093: ``Write a polynomial function with the given zeros.
1. -1,1,-6
2. 2,-2,-3
3. 2,1,3
4. 2,3,-3,-1
5. 0,-8,2
6. -10,0,2
Please help me. I really do not get this at all.

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Question 122093: ``Write a polynomial function with the given zeros.
1. -1,1,-6
2. 2,-2,-3
3. 2,1,3
4. 2,3,-3,-1
5. 0,-8,2
6. -10,0,2
Please help me. I really do not get this at all.

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Question 122288: I have three math problems I don't even know where to start. If you could help please.
1) sec x (csc x - cot x * cos x) = tan x
2) cos^2 x + tan^2 x cos^2 x = 1
For problems 1&2 x is theta
3) (cscx-sinx)^2= cot^2 x - cos^2 x

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Question 122394: a child at a swimming pool jumps off a 12 foot platform into the pool. the child's height in the feet above the water is modeled by
h(t)=-16t to the power of 2 +12, where t is the time in seconds after the child jumps. how long will it take the child to reach the water?
if you can show me the work please
thank you for your help

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Question 122391: a worker drops a hammer from the second-story roof that is 10 meters from the ground. if the hammer's height in meters above the ground is modeled by
h(t)=-4.9t to the power of 2 +10, where t represents time in seconds after the hammer is dropped, about how long will it take the hammer to reach the ground/
if you can show me the work please
thank you for your help

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Question 122866: simplify the square root of 11/9
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Question 122916: Find the sum. Express the answer in simplest form.
-6g^2+9/h^2-2 + 7g^2-6/h^2-2

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Question 122933: (rad)1/6 im not sure if I can go any farther simplifying this, can i?
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Question 123073: Find the least common denominator for these two rational expressions.
x/x^2-4 and 5x/x^2+3x+2

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Question 123072: Find the least common denominator for these two rational expressions.
x/x^2-4 and 5x/x^2+3x+2

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Question 123107This question is from textbook
: Why is it especially important to check the possiable soutions to a rational equation?This question is from textbook

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Question 123248: Please help I am a little hung up on this one.
Find the length of x in a triangle. Express yourself in simplified radical form.
Left side of triangle: 10
Rigth side of triangle: x
Bottom of triangle: 8

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Question 123249: Please assist me with this problem. All I need is the formula I can work the problem. Thanks
For the home described in excercise 15 (A homeowners would like to insulate her attic. The insulation comes in 40cm rolls that are cut to fit between the rafters. If the roof is 6m from peak to eave and the attic is 2m high at the peak. How long does each piece of insulation need to be?)if the roof is 7m from peak to eave and the attic space is 3m at the peak, how long does each piece of insulation need to be? Round to the nearest 10th.


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Question 123251: Find the distance between each pair of points.
(-3,0) and (4,0)?
Thanks

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Question 123259: 1. Graph the given function and show your work:
f(x)=-2x-5
I'm confused on this one, because I thought I could just graph it and am wondering what work I am supposed to show. I looks to me like this is ready for graphing.
2. If f(x)=4x-3, find f(-1) Show your work
3. If f(x)=5x-1, find f(a-2) Show your work
Thanks for your help!

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Question 123399: Multiply:
(5√[2] + 3)(√[2] – 2√[3])

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Question 123808This question is from textbook Prentice Hall Mathematics Algebra 2
: I need help on one of these questions.
#'s 24-29
This question is from textbook Prentice Hall Mathematics Algebra 2

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Question 123869: Find the equations of the horizontal and vertical asymptotes for the following. Type none if the function does not have an asymptote.
a) f(x)=2x+3/x+2
Answer:
Horizontal:
Vertical:
b) g(x)=5x/x^2+1
Answer:
Horizontal:
Vertical:

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Question 123903This question is from textbook
: How do you factor out t to the fourth minus 16. The problem is
t4 - 16 * t2 +1
over
t4 - 1 t2+ 4
This question is from textbook

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Question 123838: Given f(x) = x^2 + 3x – 3, find f(0).
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Question 124130: Consider the function f(x)=x^2+4x+1
Find h, the x-coordinate of the vertex of this parabola
So I took -b/2a or -4/2(1)^2=-4/2
So I believe h=-2
The next part of the question is: Substitute the two integers immediately to the left and right of h into the function to find the corresponding y. Fill in the following table. Make sure your x-values are in increasing order in your table.
x y
_________
_________
h =__
_________
_________

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Question 124448: State the domain of the following:
h(x)=3x^2+5x-3
m(x)=3/x^2+7
Any suggestions?

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Question 124450: I know what the answer is (2252) but I do not know how to get the answer. Will someone show me the steps?
To determine the number of deer in a game preserve, a conservationist catches 563 deer, tags them and lets them loose. Later, 924 deer are caught; 231 of them are tagged. How many deer are in the preserve. Thie does not come from a Algebra book.

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Question 124457: I have three more questions I cannot find the proper way of doing, though I do have the answers. These are npt from a book, it is from a study paper.
1.) Add
(25d/2d-10)+(5d/10d-50)
2.)Subtract
(5/(11-y^2-11y))-(2/(11y-11))
3.)Find LCM of both
(t^2-81)and(t^2+17t+72)

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Question 124670: Suppose that the function P = 13+451n x represents the percentage of inbound email in the U. S. that is considered spam, where x is the number of years after 2000. Carry all calcualtions to six decimals on each intermediate step whne necessary.
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Question 124747This question is from textbook
: 3 + 3
--- ---
x-2, x+2
This question is from textbook

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Question 124748This question is from textbook
: x to the 2nd + 7x + x to the 2nd - 4x
----------------- ------------------
x to the 2nd - 5x x to the 2nd - 5x
This question is from textbook

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Question 124748This question is from textbook
: x to the 2nd + 7x + x to the 2nd - 4x
----------------- ------------------
x to the 2nd - 5x x to the 2nd - 5x
This question is from textbook

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Question 124829: Hi! I appreciate your help solving question. It is not from textbook.Thanks
A quadrilateral is bounded by absvalue(x-1)=5 and absvalue y=3. Give the coordinates of the vertices

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