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 190857This question is from textbook Algebra and Trigonometry
: What Computer Program is it talking about? This question is from textbook Algebra and Trigonometry

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Question 191058This question is from textbook
: This question is from textbook

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Question 191112: The function, p(d) = 1 + d/33, gives the pressure, in atmospheres (atm), at a
depth d in the sea (d is in feet). Note that p(0) = 1 atm, p(33) = 2, and so on. Find the pressure at 120 feet. The pressure at 120 feet is ___ atm.
(type an integer or a simplified fraction)

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Question 191110: The function H described by H(x) = 2.75x + 71.48 can be used to predict the height, in centimeters, of a woman whose humerus ( the bone from the elbow to the shoulder) is x cm long.
Predict the height of a woman whose humerus is 36 cm long.
The predicted height of a woman whose humerus is 36 cm long is____cm

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Question 191335: I would really really appreciate any help I could get with the following.
R(x)=x^3-1/x^2-x-2
I know how to factor it, but need help with stating the domain and making a graph with labeled intercepts and asymtotes. Please help. Thanks.

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Question 191389: Identify the followin conic. That is, is it a circle, parabola, hyperbola or ellipse? x^2-4y^2-4x-24y=48
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Question 191414: Please help! Completely lost.
Problem- y= x(squared) + x - 6 over 3x(squared) - 12
It says that I need to find and classify any points of discontinuity.
I also have to do this problem- y= x over x(squared) - 9
Thanks for you're help,
Leilani

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Question 191567This question is from textbook algebra II
: how do you determine this problem This question is from textbook algebra II

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Question 191598: (2x+3)2over3=3
Can someone please help me. This problem is driving me crazy. Thank you

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Question 191609: 1.Find all the asymptotes for the graph of the rational function f(x) = 3x^2 -1/ x+3
2. Find all the asymptotes of the graph of the rational function f(x) = 4x^2 + 7/ 3(x+1)(x-2)
3. Find all the asymptotes of the graph of the rational function f(x) = 3/x^2

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Question 191524: f(x)= 9x-7/3
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Question 191956: Subtract and simplify if possible

(b^2-2b-8)/(b^2+b-2) - 6/(b-1)




Thankk youu :)

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Question 191957: simplify

(n-6)/(n^2+11n+24) / (n+1)/(n+3)


its a double division, i think, the first two problems (n-6)/(n^2+11n+24) is the numerator, and the second two problems are the denominator

Thank yoou

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Question 191958: solve

6/(x^2-9)- 1/(x-3) = 1

the 6 is the numerator and (x^2-9) is the denominator for the first part of the problem and 1 is the numerator for the second fraction and (x-3) is the denominator and 1 is the answer? im not sure, im just suppose to solve it


thank you

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Question 191962: solve
9/(x^2-36) + 2/(x-6) = 1/(x+6)



both parts of the equation are fractions, 9 is the numerator in the first fraction and 2 is the numerator in the second fraction, hopefully that makes sense


thank you soo much!

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Question 191963: simplify
4/(x+3) / (1/x)+3


the question is a fraction annd 4/(x+3) is a fraction, but the numerator and the denominator is (1/x)+ 3

thank you! :)

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Question 191965: add
3/(x+5) + 8(m^2-25)

they are two fractions, 3 is the numerator of the first fraction and 8 is the numerator of the second fraction

thank you veryy much

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Question 191959: find the least common multiple of
x^2+x-12 and x^2+2x-15





thank you

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Question 191960: find the least common multiple of
x^3-x^2+x-1
and
x^2-1

-write the answer in factored form


thank you! :)

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Question 191964: subtract

(x^2-2x-3)/(x^2-9x+18) - (x^2-5x-6)/(x^2+9x+8)

it is two fractions and (x^2-2x-3) is the numerator of the first fraction and (x^2-5x-6) is the numerator of the second fraction


thank you!

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Question 191998: I am trying to solve an equation with a rational expression and I am having great struggles.
the question is
x/3=4(x+1)

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Question 191998: I am trying to solve an equation with a rational expression and I am having great struggles.
the question is
x/3=4(x+1)

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Question 192015This question is from textbook saxon algebra 2
: Factor the terms of the rational function to identify vertical asymptotes.
y=x^2-4 over x^2-12x+36
so far: =(x+2)(x-2) over (x-6)(x-6)
where do I go from here?
This question is from textbook saxon algebra 2

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Question 192040: Could you please help me with these two problems. getting frustrate! (1+2=-6)/(X-1+X+1+X^2-1). Problem two. (x+5=x+3)/(x+4=x+6. Thank you
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Question 191966: add, and simplify if possible
(x^2-9x+20)/(x^2-3x-10) + (x^2-2x-8)/(x^2+4x-32)


they are two fractions, (x^2-9x+20) is the numerator of the first fraction and (x^2-2x-8) is the numerator of the second fraction

thank you! :)

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Question 192141: For each rational function, identify any holes or horizontal or vertical asymptotes of its graph.
y= -2(x-8)/(8-x)
I have tried a couple different things, but I am not sure if any of them are correct.
First attempt:
There would be a vertical asymptote at x=8.
There would be a horizontal asymptote at y=-2.
Second attempt:
There would be a hole at (8,2)
Third attempt:
There would vertical asymptote at x=8.
There would be a horizontal asymptote at y=2.
I am extremely confused any help would be greatly appreciated!

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Question 192035: In the equation 5x/(x+1), what is the end behavior? We are being taught the Ratey method and when I get to the E part of Ratey, i simplify it to 5/1. Does that make it top heavy? If so how do you determine the vertical asymptote?
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Question 192219: solve for F.
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Question 192216: m/F=1/a;F
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Question 192220: can you please show me how to do this problem? solve for B.
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Question 192330: 3+(sqroot5x-1)=x
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Question 192418: So consider the rational function defined f(x)=(x^2-9)/(x+3). For what value of x does the graph exhibit a "hole"?
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Question 192418: So consider the rational function defined f(x)=(x^2-9)/(x+3). For what value of x does the graph exhibit a "hole"?
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Question 192442: What are the points of discontinuity, holes, vertical asymptotes,x-intercept, and horizontal asymptote of the problem
f(x)= x^2+x-6
_________
-4x^2-16x-12

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Question 192488: 7 minus the square root of 4a-3 equals 4
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Question 192553: please note that when it says D(o) it means that the o is a little number kind of like a base number.

The lens equation for a camera is 1/F=1/D(i) +1/D(o) , where f is the focal length of the lens, D(i)is the distance between the lens and d(o) the film, and is the distance between the lens and the object. For a certain camera, an object that is 18 cm from the lens is in focus when the lens is 9 cm from the film. What is the focal length of the lens? : please note that when it says D(o) it means that the o is a little number kind of like a base number.

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Question 192552: 2. Choose the least common multiple of x(x2– 5x + 6) and x3(x2 + 4x – 21).

x2(x2 – 2)(x2 – 3)(x2 + 7)
(x3 – 2)(x3 – 3)(x3 + 7)
x3(x – 2)(x – 3)(x + 7)
x3(x3 – 6)(x + 7)

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Question 192666: how do u work out a problem like this it says find the least common denominator
2.......3
----- -----
x-3 2x+3
if u could explain how to work this out i would really appreciate it

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Question 192646: Find all Zeros: f(x)= 12X^3+14X^2-6X
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Question 192644: Factor: (16X^4)-1
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Question 192642: solve for A: W/T=(R^2+T)/A^2
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Question 192739This question is from textbook algebra2
: Solve each equation or inequality.
2. 5/x + 3/5 = 2/x
This question is from textbook algebra2

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Question 192775: Could you please help me and explain these problems. 1. To determine the number of deer in a game preserve, a conservation catches 545 deer tags them and let them loose. Later, 836 deer are caught, 209 of them are taged. How many deer are in the preserve? __deer. I do I add 545 and 209 to get the answer to this problem. 2. Lisa can shovel snow from her driveway in 40 mintues. Jim can do the same job in 50 mintues. How long would it take Lisa and Jim to shovel the driveway if they work together. __mintues. Do I do the same as in the frist question. 3. q+7/2/+/q-7/7=7 is this correct No solution since the answer can be only 7
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Question 192741This question is from textbook algebra2
: Solve each equation or inequality.
4. 4/a+3 >2
This question is from textbook algebra2

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Question 192959: I been working on these problems and I still having a problem with the answers. Please Help! Problem 1. 9/r-8/9/r+8 Problem 2.r^2-4/r^2-4r+4 Problem 3. 10/y-5/10/(y-5)^2 Problem 4.Find all numbers for which the radional expression is undefined.2/v-5
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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