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

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Question 89509: Write a rational function satisfying the following criteria:
Vertical assymptote: x=1
Assymptote: y=x+1
zero of the function: x=-2
Click here to see answer by stanbon(57347)

Question 89591: Rationalize the denominator:

2 / √[3] + √[2]

Click here to see answer by malakumar_kos@yahoo.com(315)

Question 89625: Simplify:
√[81x^12y^8z^10]

Click here to see answer by Earlsdon(6287)

Question 89694: suppose you use 4 letters from the 26 of the alphabet to create a password. how many possible four-letter passwords can be created if the letters cannot repeat?
a. 14,950
b. 104
c. 456,976
d. 358,800
Click here to see answer by stanbon(57347)

Question 89692: which of the following represents a permutation?
a. rolling a number cube
b. arranging a wardrobe options of jeans and sweaters
c. choosing 1st,2nd, and 3rd chair in the band
d. selecting 6 CDs from a collection of 50
Click here to see answer by stanbon(57347)

Question 89681: For all x doesnt equal -4, which of the following is equivalent to

----------- ?
}
A.x+3 B.x+8 C.x+11 D.x+16 E.x+28
Click here to see answer by stanbon(57347)

Question 89698: What are all the zeros of the function:f(x)=4(-4x+6)(6x+4)(6x-8)?
Click here to see answer by stanbon(57347)

Question 89697: How would you solve this problem by substitution?
x^2+y^2=9
x+y=3

Click here to see answer by jim_thompson5910(28595)

Question 89716: What is another way to write 8^2/3?Would it be the cube root of 8^2?
Click here to see answer by stanbon(57347)

Question 89652:
X: 0 1 2 3 4 5
Y: 1 2 5 10 15 20
What is the domain and range of the above function?
Click here to see answer by stanbon(57347)

Question 89712: The sides of a rectangle have lengths x+9 and widths x-3.Which equation describes the perimeter,P,of the rectangle in terms of x?
a.P=x^2 +6x-27
b.P=4x+12
c.P=x^2+12x-27
d.P=2x+6
Click here to see answer by checkley75(3666)

Question 89701: If it takes a train 7h to get from Capital City when it travels 40 mi/h,how long would it take the train to go the same distance when it travels 70 mi/h?Would it take 7/4 h,4h, 4/7 h or 10 h?
Click here to see answer by checkley75(3666)

Question 89696: How would you write an equation in standard form for an ellipse with foci(5,0)and (-5,0) and y- intercepts of 7 and -7?
Click here to see answer by scott8148(6628)

Question 89825: jarred has 7 hamsters. how many diffrent ways can he choose 3 of them to take with him to show and tell?
a. 343
b. 210
c. 21
d. 35
Click here to see answer by jim_thompson5910(28595)

Question 89824: shante is eating a dinner in a restaurant. she orders chicken, which comes with her choice of 3 vegtables and 5 starches. how many dinner options does she have?
a. 125
b. 15
c. 20
d. 75
Click here to see answer by jim_thompson5910(28595)

Question 89823: there are 12 trumpet players in the marching band, but there is only room for 3 of them in the jazz band. how many diffrent combinations of trumpet players could be selected for the jazz band out of the 12?
a. 1728
b. 36
c. 1320
d. 220
Click here to see answer by jim_thompson5910(28595)

Question 89872: How do you find all real numbers in this solution?x^3+6x^2+12x +8=0
Click here to see answer by jim_thompson5910(28595)

Question 89877: How would you find the points that the graphs of the equation in the following systems have in common?
x^2+y^2=4
x=y
Click here to see answer by jim_thompson5910(28595)

Question 89877: How would you find the points that the graphs of the equation in the following systems have in common?
x^2+y^2=4
x=y
Click here to see answer by checkley75(3666)

Question 89876: What are all the rational zeros of these polynomials?y=2x^3-10x^2-8x+40 and y=3x^3-24x^2-48x+384
Click here to see answer by stanbon(57347)

Question 89876: What are all the rational zeros of these polynomials?y=2x^3-10x^2-8x+40 and y=3x^3-24x^2-48x+384
Click here to see answer by jim_thompson5910(28595)

Question 89890: Write the partial fraction decomposition of the rational expression.
x-17/(x-2)(x-5)
Do I just break this down? When I work it the answer I am getting is 5/(x-2)+-4/(x-5). But I feel like I am missing something...
Thanks,
Annie C.
Click here to see answer by funmath(2925)

Question 89875: It takes one worker 5 hrs to do the same job that it takes another worker 3hrs to do.If they work together,how long can the job be done?15/8hrs,8/15hrs,4hrs,or 2hrs?
Click here to see answer by stanbon(57347)

Question 89843: simplify (10t^2-13t-9)+(2t+1)
a. 5t-7
b. 5t-9
c. 5t+9
d. 5t+7
Click here to see answer by checkley75(3666)

Question 90017: I need the domain and range for this equation:
y=-(3/4)x+4
Click here to see answer by stanbon(57347)

Question 90008: I need to simplify this equation:
(2x/x+5)/(6x squared/2x+10)
Click here to see answer by tutorcecilia(2152)

Question 90019: How do I sovle this problem: For the function f(x)= x the 2 power minus 2x + 1
(a) find f(0)
(b) solve f(x)=0
Click here to see answer by tutorcecilia(2152)

Question 89983: find the LCD for the following rational expressions 7/3x and -10/x^2
a. 3x
b. 3x^3
c. 3x^2
d. x
i thought it was x because by looking at them thats the only thing they have in common but then i was talking to my sister and she said you have to multiple the equation first and then decide which gave me -70/3x^3 and 3x^3 is one of my choices.
Click here to see answer by checkley75(3666)

Question 89981: find the LCD for the following rational expressions -1/4yt^3 and 3/5y^2t
a. 10yt^3
b. 60y^2t^3
c. 20y^2t^3
d. 20y^2t
Click here to see answer by checkley75(3666)

Question 90059: 81r^4-256s^4
Click here to see answer by checkley75(3666)

Question 90180: i need 7y+6x=10 in y=mx+b form?
How do you do it?
Click here to see answer by tutorcecilia(2152)

Question 90176: What is the domain and range of:
y= absolute value of x
Click here to see answer by tutorcecilia(2152)

Question 90176: What is the domain and range of:
y= absolute value of x
Click here to see answer by kev82(148)

Question 90175: Can u please factor this:
2x^2+9x-5
Click here to see answer by tutorcecilia(2152)

Question 90207: HELP PLEASE!!!!! THANK YOU
I need to take the original functions and define f(x). Then find the new equations by applying the shifts and simplify?!?!?!?!?!?!?
1. y=x^2-2 shift down 3 and left 4
2. y=2x=3 shift left 5
3. y=4x-2 shift down 3 and right 2
4. y=-1/2x^2 shift left 4 and widen by 2
Thank you for your help
llo
Click here to see answer by Edwin McCravy(8909)

Question 90859: In this question, to find the answer I know I need to find a vertex, but can't seem to get a quadratic type equation to figure the points:
A wholesaler of appliances finds that she can sell (1200-p) televisions when the price is p dollars. What price will maximize revenue? What is the maximum revenue?
Click here to see answer by venugopalramana(3286)

Question 91037: Add or subtract. Then simplify by collecting like terms, if possible. Assume that all expressions under radicals represent nonnegative numbers
5square route of 50 minus 2 square route of 18 plus 9 square route of 32
Click here to see answer by checkley75(3666)

Question 91125: simplify (n^5+2n^4+3n^3)+n^3
i divided everything by the (n^3) and i came up with n^2+2n+4
but since it looks like an addition problem im not sure how to work it out.
Click here to see answer by checkley71(8403)

Question 91127: the tenth grade raffle sold 127 tickets. if they award 1st and 2nd prize, how many difrent pairs of winners are possible?
a. 16,002
b. 8,001
c. 254
d. 16,129
Click here to see answer by checkley71(8403)

Question 91122: simplify (a^2-9)+(a-3)
i divided them and i came up with a+3 but since it looks like an addition problem im not sure how to work it out.
Click here to see answer by praseenakos@yahoo.com(507)

Question 91276: need to define f(x) and then find the new function equation - then have to graph the old equation and new one - dont understand HELP!!!!!
1. y=x^2-2 shift down 3 and left 4
2. y=[2x-3] shift left 5
3. y = 4x -2 shift down 3 abd right 2
4. y = -1/2x^2 - 2 shift left 4 and widen by 2
Thank you very much
llo
Click here to see answer by checkley71(8403)

Question 91379: Type the problem wrong - SORRY!
Need to find (gof)(x) for the following
f(x) = -4x+2
g(x)=6x^2+4x-5
Sorry
thanks
Llo
Click here to see answer by stanbon(57347)

Question 91201: x^2-x-20 x x^2+7x+10
-------- ---------
x^2-3x-10 x^2+4x-5

x^2+x-12
--------
2x^2-3x-9
Click here to see answer by jim_thompson5910(28595)

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