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 63339: need help
find the third term in the expansion of (3t+4)^8

Click here to see answer by stanbon(57956) About Me 

Question 63383: does the functions have any line(s) of symmetry?what are the lines?
1)y=1/(x^2-x-6)
2)y=((e^2x)+1)/((e^x)+1)

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Question 63399: How do I mathematically convert square root of 2 into a decimal number without using a calculator.
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Question 63458: this is a problem on forming functions from verbal descriptions here it is... when a girl 1.75 m tall stands between a wall and a light on the ground 15 m away, she casts a shadow (h) meters high on the wall. express (h) as a function of (d), the girl's distance in meters from the light.
Click here to see answer by 303795(595) About Me 

Question 63208: not sure which graph it is..the graph of y^2/25 - x^2/64 =1 is it a parabola or hyperbola? thanks
Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 63461: a box with a square base has a surface area (including the top) of 3+m%5E2. express the volume V of the box as a function of the width W of the base
Click here to see answer by venugopalramana(3286) About Me 

Question 63664: adding, subtracting and dividing radical expressions- text states add or subtract as indicated you will need to simplify terms to identify the like radicals- problem # 14
5 radical sign 12 + radical sign 75
huh???? Tammy

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Question 63662: Rational exponents:text states:rewrite each expression with a positive rational exponent, simplfy if possiable- proble # 48 (8/125)^-1/3
I cant figure it out thanks Tammy

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Question 63936: Compare the quantity in Column A with the quantity in Column B.

Column A Column B
slope of y=3 slope of x=3
a. The quantity in Column A is greater.
b. The quantity in Column B is greater.
c. The two quantities are equal.
d. The relationship cannot be determined on the basis of the information supplied.

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Question 63937: (a-1)/2+5a
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Question 63953: For each pair of functions, find (f+g)(x), (f-g)(x), and (fg)(x)...Then evauluate each function at 2.
1.) f(x)= 5x-10, g(x)= 3x+7
3.) f(x)= -4x+1, g(x)= 6x+2

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Question 63988: how do you find the domain and range and roots without graphing the queation. We are not allowed to use a graphing calculator, so if I need to graph the problem, how would I do that? For example: h(x)=sqrt(x^2-6x+8)
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Question 64079: f(x)=-11x/2-7x+14
find f(10)
f(2)

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Question 64329: please help!
1. Determine all x-intercepts of the rational function f(x)=x^2-2x/(x+4)^2
2. Find the x-coordinates of the points of intersection between the two functions x^2+y^2=113 and x+y=-15
3. Give the equation of a line that passes through the point(7,4) and is perpendicular to the line whose equation is given by 4x+5y=8
Thank you!

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

Question 64186: I dont understand how to answer this problem because:
1)i dont get how you find the domain
2)i dont understand how i graph the equation

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Question 64332: Please evaluate x/square root 1+x^2 over the interval [0,1]
I believe this is a definite interger

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Question 64324: please find the average value of the function:
f(x)=2x^2+3 on [0,2]


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Question 64310: Please find the average value of the function:
f(x)=2x^2+3 on [0,2]

So confused, please help!

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Question 64588: on my worksheet it says find the center and the radius of the circle with the given points the problem is x2+y2-6x-2y+5=0 i have to subtract the 5 then what?
Click here to see answer by Earlsdon(6294) About Me 

Question 64574: 5x/x^2-x-6 - 4/x^2+4x+4
How do you factor this problem out step by step?

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Question 64574: 5x/x^2-x-6 - 4/x^2+4x+4
How do you factor this problem out step by step?

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Question 64888: Please help: Find the horizontal asymptotes of F(X)= 3X/X^2-4
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Question 65016: The question says; solve by graphing
2. 2x + y = 2
3x - y = -2
4. 2x - y = 10
3x + y = 0

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Question 65100: how do you do partial fraction decomposition?? Like on a problem such as: 1/(x^2+x)???
Click here to see answer by venugopalramana(3286) About Me 
Question 65100: how do you do partial fraction decomposition?? Like on a problem such as: 1/(x^2+x)???
Click here to see answer by FadelSalem(12) About Me 

Question 65379: a trip between two towns in montana takes 4 hours under ideal conditions. The first 150 miles of the trip is on a interstate, and the second 130 miles is on a highway with a speed limit that is 10 miles per hour less than on interstate
a)if x represents the speed limit on the interstate, write an expression that represents the time spend at that speed
b) write an expression for the time spent on the other highway
c)write and solve an equation to find the speed limit on the interstate and on the highway

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Question 65377: what is the graph of y=3/2
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Question 65377: what is the graph of y=3/2
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Question 65497: Can this equation be solved: x=(10,000-x)*.05 Your help is always greatly appreciated. Thank you..
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Question 64800: f(x,y)=e^xy find f(lower x), f (lower y), f (lower xx), and f (lower xy)

This is partial derivatives

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Question 63810: This question has been answered before. I need an explanation or the steps done to find out the answer.

The question was....

For the function, y = 1/(x-1)
a) give the y values for x= -2, -1, 0, 1, 2, 3
Show your work
b) Using these points, draw a curve: For the function, y = 1/x-1
a) give the y values for x= -2, -1, 0, 1, 2, 3
Show your work
b) Using these points, draw a curve

The answer was....

If your problem is


y = 1/(x-1)

then
x | y
-------
-2 | -1/3
-1 | -1/2
0 | -1
1 | undefined
2 | 1
3 | 1/2



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Question 64647: how do I graph the given function y=f(x-4)+1
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Question 65832:
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Question 65981: Distribute to simplify the following expression.
-4x2(3x2 - x + 1)

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Question 65984: Use the FOIL method to multiply the binomials.
(5 + x)(3 - 2x)

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Question 65986: Use the FOIL method to multiply the binomials.
(x+2y2)(x-4y)

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Question 65983: Use the FOIL method to multiply the binomials.
1. (x - 4)(x + 8)
2. (3x + 4)2

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Question 66060: Distribute to simplify the following expressions.
1. -4x^2(3x^2 - x + 1)
2. (-2x)(-3x)(5x+2)

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Question 66131: 2x-[6-4(2x-3)]
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Question 66279: What is the value of (-243)1/5 ?
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Question 66281: A cube has volume V=s3, where s is the length of a side.
Fill in the blank: The side length for a cube with volume 27000 m3 is
__m3

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Question 66280: What is the value of (-243)1/5 ?
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Question 66282: What is the value of (16)1/4 ?
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Question 66283: A cube has volume V=s3, where s is the length of a side.
Fill in the blank: The side length for a cube with volume 8000cm3 is
__cm3

Click here to see answer by checkley71(8403) About Me 
Question 66283: A cube has volume V=s3, where s is the length of a side.
Fill in the blank: The side length for a cube with volume 8000cm3 is
__cm3

Click here to see answer by stanbon(57956) About Me 

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, 3691..3735, 3736..3780, 3781..3825, 3826..3870, 3871..3915, 3916..3960, 3961..4005, 4006..4050, 4051..4095, 4096..4140, 4141..4185, 4186..4230, 4231..4275, 4276..4320, 4321..4365, 4366..4410, 4411..4455, 4456..4500, 4501..4545, 4546..4590, 4591..4635, 4636..4680, 4681..4725, 4726..4770, 4771..4815, 4816..4860, 4861..4905, 4906..4950, 4951..4995, 4996..5040, 5041..5085, 5086..5130, 5131..5175, 5176..5220, 5221..5265, 5266..5310, 5311..5355, 5356..5400, 5401..5445, 5446..5490, 5491..5535, 5536..5580, 5581..5625, 5626..5670, 5671..5715, 5716..5760, 5761..5805, 5806..5850, 5851..5895, 5896..5940, 5941..5985, 5986..6030, 6031..6075, 6076..6120, 6121..6165, 6166..6210, 6211..6255, 6256..6300, 6301..6345, 6346..6390, 6391..6435, 6436..6480, 6481..6525, 6526..6570, 6571..6615, 6616..6660, 6661..6705, 6706..6750, 6751..6795, 6796..6840, 6841..6885, 6886..6930, 6931..6975, 6976..7020, 7021..7065, 7066..7110, 7111..7155, 7156..7200, 7201..7245, 7246..7290, 7291..7335, 7336..7380, 7381..7425, 7426..7470, 7471..7515, 7516..7560, 7561..7605, 7606..7650, 7651..7695, 7696..7740, 7741..7785, 7786..7830, 7831..7875, 7876..7920, 7921..7965, 7966..8010, 8011..8055, 8056..8100