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

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Question 30030: One of the largest radio telescopes has a diameter of 250 feet and a focal langth of 50 feet. If the cross section of the radio telescope is a parabola, find the depth.
Is there an equation for this? If not, how the heck would you do this?

Click here to see answer by kev82(145) About Me 

Question 30029: A searchlight reflector is designed so that a crass section through its axis is a parabola and the light source is at the focus. Find the focus if the reflector is 3 feet across the opening and 1 foot deep.
Where do I even start?!? I'm so lost!

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Question 29995: Could you please help me with this problem

Solve for x
= 2 over x

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Question 29996: Could you please help me with this problem
Solve for x
= 5 over x-2

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Question 30164: how do you know when and when not to factor?
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Question 30439: f(x)=x+1 and g(x)=2x
find: f(g(x)) and g(f(x))

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Question 29994: could you please help me with this problem
Simplify as much as possible
- 6 over x+4

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Question 30722: x^3-5x^2-x-5 over x^2- 25 multiplied by (x+1)
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Question 30668: 2000000=100000e^(.4t)
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Question 30780: -2x^2-5x/x^2-7x + x-2/x+7 + 2x-3/x
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Question 30824: Hello my name im renny 17 i have two math problems to ask u about! Here arem my problems (rational functions)
2y-1/4y = 4/6 (solving rational func)
t^3 - t^2 - 4 / t^2 + t -2 (simplify rational expressions)
Thankyou so much for looking at these problems!!

Click here to see answer by Nate(3495) About Me 

Question 30988: a rocket is launched from atop a 32-foot cliff with an initial velocity of 154 ft/s.
a.write an equation to describe the height of the rocket T seconds after launch
b.graph the equation to find out how long after the rocket is launched it will hit the ground.
c.estimate your answer to the nearest tenth of a second

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Question 31001: 45x/60x^2
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Question 31027This question is from textbook Algebra 2
: This is section 7.5 page 434 number 22 and i don't understand how to find the points without a graphing calculator. please help.This question is from textbook Algebra 2

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Question 31155: I need to understand how to solve the following problem for Y.
y + 22/y = -13
Any help with an explanation is greatly appreicated.

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Question 31377: I need to do this problem and cannot get how to do it. I need the vertical asymptotes, the horizontal asymptotes and the x and y-intercepts. The problem is f(x)=(x-3)/(x+2). I have to make the graph to go with it and have been reading the chapter over and over again and getting more confused.
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Question 31388This question is from textbook College Algebra
: I'm trying to find solutions to this equation:
Sq Root of (11-x^2) - 2 / sq root of (11-x^2) = 1
I tried rationalizing the denominator and squaring the left hand side but I'm left with x^2-8=0. My solution set comes out to x= +/- 2 times the sq root of 2 which I know cannot be.
Thanks for all your help!
This question is from textbook College Algebra

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Question 31400This question is from textbook McDougal Littell Algebra 2
: I need help on finding the least common denominator (LCD) of two rational expressions.
How do you find out the LCD for these two?
1/(x^2 - 3x - 28) , x/ (x^2 +6x + 8)
This question is from textbook McDougal Littell Algebra 2

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Question 31390This question is from textbook College Algebra
: Hi again,
I have an equation with a radical inside a radical inside a radical equal to another radical (I'm writing it in exponential form):
(1+(x+(2x+1)^1/2)^1/2)^1/2 = (5+(x)^1/2)^1/2
I tried to square both sides but got lost on the right side after squaring boths sides for the second time coming out with x-3=-x^1/2 after squaring the third time to remove the -x^1/2 remaining on the left side.
Does this equation actually have solutions?
Thank you for all your wonderful help!
This question is from textbook College Algebra

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Question 31419: if f(x) = x-1 and g(x) = x^2 +1 find:
1. g(5)
2. f(g(5))
3. f(g(x))
4. g(f(x))
5. find all values of x for which f(g(x)) = g(f(x))

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Question 31520: Factor
125+a^3

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Question 31523: Solve
x^2+4x=6

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Question 31522: Factor
56x^5+16x^2

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Question 31519: Simplify
cube root of 81a^15b^7c^5

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Question 31585This question is from textbook algrebra1
: help!!This question is from textbook algrebra1

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Question 31584This question is from textbook algrebra1
: help!!This question is from textbook algrebra1

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Question 31621: Question:
Find the vertex, focus, and directrix of the grph of the equation
16(y+7)=(x+1)^2
(A) vertex (1,-7) focus (-1,11) directrix is y=-5
(B) vertex (-1,-7) focus (-1,-3) directrix is y=-11
(C) vertex (1,-7) focus (1,-3) directrix is y=-3
(D) vertex (-1,-7) focus (1,11) directris is y=3
Thank you in advance for your help!

Click here to see answer by mukhopadhyay(490) About Me 

Question 31918This question is from textbook
: I'm having a lot of trouble with factoring. This is the problem I haven't been able to factor 4x^2 - 36y^2This question is from textbook

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Question 32014: compare the graph of y2 =4sin[3(x+3pi/4)]-3 with the graph of y1=sin x
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Question 32046: I am stuck on factoring. I need to factor the negative of the greatest common factor -2b + 16
The next couple that are giving me trouble are factoring
9a^8 b^8 c^4 - 18d^6
225x^2k - 196y^2k
a^2 - b^2 + 6a - 6b
any help you can give me is greatly appreciate

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Question 31970This question is from textbook
: please help me solve this probem =
7x
-------
12x+x^2
This question is from textbook

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Question 32259This question is from textbook algebra 2
: how do i solve the rational equation...x+2 over 2 -3 over 4 = x
This question is from textbook algebra 2

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Question 32258This question is from textbook algebra 2
: No information provided
This question is from textbook algebra 2

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Question 32296This question is from textbook Intermeadiate Algebra
: Can someone help me solve this polynomial 49y^2 - 64 This question is from textbook Intermeadiate Algebra

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Question 32295This question is from textbook Intermeadiate Algebra
: Can someone help me solve this expression by grouping
11x^2 + 11xy + 2x + 2y
This question is from textbook Intermeadiate Algebra

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Question 32382: I missed the day that we went over this and my teacher didnt teach it to me well, so im wondering how to figure...
The variable z varies jointly with x and y.
a)write an equation relationg z, x, and y.
b) if x=2, y=1/8, z=3 then find z when x=3&y=-4

If you can just give me an explanation of how to figure this out, that'd be great (do i use z=k(xy)?) If you explain some basics on this subject, i should figure it out. Thanks

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Question 32533: 1.square root of x^3power=8 (simplify) (I try to do this I think it is =2)
2.exponent3 square root x^2= 4
3.for the equation x -square root x= 0 solve the value of x that satisfied the equation.

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Question 32488: What is the domain of -(square root of x+9)+3. I have graphed out the problem and my thought was x/x is greater than or equal to -9.
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Question 32487: I am supposed to find the product with the assumption that the denominator is not 0.
m(n-squared) . 4
__________ ____
3 . mn
I got 4n over 3 for an answer, but this doesn't seem right as I think I should have a variable on the bottom. It would help to know if my answer is correct so I'll know if I'm on the right track.
Thank you for your help.

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Question 26939: please help me solve this equation by factoring: 3c(squared)=5c
& 18u(squared)-3u=1

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Question 32672: please help me solve this equation! f(g(x))
let f(x)=10x and g(x)=x+4

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Question 32674This question is from textbook Algebra 2
: please help me solve this equation! f(g(x))
let f(x)=10x and g(x)=x+4
This question is from textbook Algebra 2

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Question 32803: Please Help Me Solve This Equation: would the answer be no solution?
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Question 32803: Please Help Me Solve This Equation: would the answer be no solution?
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Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645, 3646..3690