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 34868: What is the simplest form of
the cube root of (-64X^5Y^12)



Click here to see answer by checkley71(8403) About Me 

Question 34787: Can someone help me solve this by using the sqare root property?
(x+8)^2=81

Click here to see answer by usyim88hk(157) About Me 

Question 35097: simplify the rational expression
9x - 21
------
15x - 35

Click here to see answer by kay308(3) About Me 

Question 35093: simplify the rational expresion
6 - 2x
-----
4x - 12

Click here to see answer by stanbon(57962) About Me 

Question 35189: zeros of a function:
find the zeros (i.e. x-intercepts) of the following functions:
1) f(x)=-48x^2+3x^4
2) f(x)=-4x^3-15x^2+18x

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

Question 35451: (Intermediate Algebra: Rational Expressions)
4. For all r≠(+/-) 2, (r^2-5r+6)/(r^2-4) = ?
A. r-3/r+2
B. r-2/r+2
C. r-2/r+3
D. r+3/r-2
E. r+3/r+2
I'm confused, showing work would be great. I know its (A) but I don't know why.

Click here to see answer by Nate(3500) About Me 

Question 33925: The radius of the circular top or bottom of a tin can with a surface area S and a height h is given by
-h +√h^2 + .64s
r =-------------------------------
2
What radius should be used to make a can with a height of 35 inches and a surface area of 11,025 square inches?

A) 30 inches

B) 15 inches

C) 63 inches

D) 28 inches

Actual problem here: http://www.ccaurora.edu/mat090/Tests/test_chapter_8_files/image052.gif

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

Question 35577: I need help Subtracting Rational Expressions with different Denominators. I'm missing one step, but can't figure it out!
Ex. problem
4y-1 y+3
_________ - __________
2y^2+5y-3 6y^2+y-2

Click here to see answer by stanbon(57962) About Me 

Question 35780: solve the linear system...if the system is inconsistent or dependent, so state
3x-2y = 0
9x-8y= 7

Click here to see answer by checkley71(8403) About Me 

Question 35805: suppose that r varies directly as p and inversely as q^2, and that r = 27 when p =3 and q = 2. Find r when p = 2 and q = 3.
Click here to see answer by stanbon(57962) About Me 

Question 35806: Intensity of light, measured in lux(lx) varies inversely as the square of the distance between the light source and the object illuminated.
A light hangs 4.8 feet above the center of a circular table 7.2 feet in diameter. If the illumination is 25 lux at the center of the table, what is the illumination at the edge of the table?

Click here to see answer by stanbon(57962) About Me 

Question 36044: 2[3(-x2+x)-1]-5x+6x2
Click here to see answer by vidhyak(94) About Me 

Question 36289: I dont know how to solve xDivided line x-1 equals 2x+10 divided line x+11

It says Solve the equation. Check Your solutions. I dont know how to do any of the problems through 54

Click here to see answer by vidhyak(94) About Me 

Question 35982: For the rational function f(x) = (x 2 - 1) / (x 2 - 9), give the intercepts and asymptotes and sketch the graph.
Click here to see answer by stanbon(57962) About Me 

Question 36385: solve.
110. Area of a window. A window is in the shape of a square of side s, with a semicirlce of diameter s above it. Write a function that expresses the total area of the window as a function of s.

Click here to see answer by Earlsdon(6294) About Me 

Question 36381: graph the function & state the domain & range.
26. g(x)=x^2-2x-15

Click here to see answer by cininnatus(12) About Me 

Question 36485: graph the function and state the domain and range.
26. g(x)=x^2-2x-15

Click here to see answer by rapaljer(4667) About Me 

Question 36523: Im having a problem solving this problem,can u solve it for and then i can see how you did it? y=x/x2-9
Click here to see answer by cininnatus(12) About Me 

Question 36777: Please help me write a function for the points (1,1) and (3,-1)
Click here to see answer by stanbon(57962) About Me 

Question 36872: m/m^2-m-12 + 5/m+3
This is what i came up with but i'm not exactly sure how i got it. I'm not sure how to get the denominators the same. Please walk me through this problem step by step. Thank you. I don't have a text book. My instructor gives us problems from his book.
5(m-4)/m+3(m+3)(m-4)
m+5m-20
answer =
6m-20/m^2-m-12

Click here to see answer by stanbon(57962) About Me 

Question 36913: 9/4x+7/-5x
Click here to see answer by checkley71(8403) About Me 

Question 37163: this question is not out of the book...
Find what the minimum surface area for a cylindrical can will be to hold 500+cm%5E3. Give the radius and the height.
surface+area-+2%28pi%29r%5E2%2B2%28pi%29rh
volume-%28pi%29r%5E2h

Click here to see answer by fractalier(2101) About Me 

Question 37068: simplify the complex fraction : Rt=1/((1/R1)+(1/R2)+(1/R3))
in R1, R2, and R3 1,2, and 3 are subscripts

Click here to see answer by fractalier(2101) About Me 

Question 37236: Create the quadratic equation in the form ax squared + bx + c using the point
(-1,7) as one point and the point (10,-8) as the vertex. enter a,b,c values as common fractions in reduced form.

i have several problems just like this to answer. i need to know how to come up with the equation. please help. cheryl mitchell clm031303@yahoo.com

Click here to see answer by AnlytcPhil(1278) About Me 
Question 37236: Create the quadratic equation in the form ax squared + bx + c using the point
(-1,7) as one point and the point (10,-8) as the vertex. enter a,b,c values as common fractions in reduced form.

i have several problems just like this to answer. i need to know how to come up with the equation. please help. cheryl mitchell clm031303@yahoo.com

Click here to see answer by stanbon(57962) About Me 

Question 37258: Please help me solve this rational equation. I always have a problem on these ones when the denominators are like that.
(8/p+3) + (8/p-3) = -2

Click here to see answer by checkley71(8403) About Me 

Question 37257: Could you please help me simplify this rational expression?
(q/q-3) + (10/q-3) = -12

Click here to see answer by fractalier(2101) About Me 

Question 37253: My problem does not come from a textbook, but a worksheet.
I need to divide this rational expression:
((x^3-2x^2-63x)/(x^2-49)) / ((x^2-81)/x^2-7x))
sorry, I do not know how to make fractions or exponents on my computer.

Click here to see answer by fractalier(2101) About Me 

Question 37413: what is an extraneous root?
Click here to see answer by fractalier(2101) About Me 

Question 37416: Question goes like this....
Simplify each sum.
5x/x^2-9 + 2/x+4

Click here to see answer by fractalier(2101) About Me 

Question 37436: 6-2x/x-3
Click here to see answer by vidhyak(94) About Me 

Question 37545: log10%28x-6%29+%2B+log10+%28x-6%29+=+2+
Click here to see answer by stanbon(57962) About Me 

Question 37451: Perform indicated operations and simplify the result. Leave answer in factored form.
(3x/x-1)-(x-4/x^2-2x+1)

Click here to see answer by fractalier(2101) About Me 

Question 37562: iwhats s 32 ^ 1/5
32 raised to the 1/5 power

Click here to see answer by stanbon(57962) About Me 

Question 37565: -(49/81)^1/2=?
-(216/125)^2/3
How do you do it?

Click here to see answer by stanbon(57962) About Me 

Question 37141: i am a homeschooled student i do not have text book curriculum. this question is probably going to sound stupid i just need an example because my program does not give me one that i can understand! thanks so much!
Give the Exclusion for the Variables:
12m^7t^5/-9m^2t^3
(exclusions example; 0 not equal to t, z in alphabetical order with comma)
(y means there are exclusions, N means there are no exclusions)
0 not equal to _________
(type y/n)_____________ exclusions




i know this problem sounds confusing and thats exactly what i am! thanks again!
-Leah

Click here to see answer by stanbon(57962) About Me 

Question 37567: s^2+6s+25= solve for Solution sets
2x^2-9x=1
solve for x
Can you show me how you find the answer, not just the answer?

Click here to see answer by junior403(76) About Me 

Question 37808: The sum of two positive integers is 25. The diffence of their squares is 275. Find the two integers.
Click here to see answer by Paul(988) About Me 

Question 37865: Graph the following equation, label any intercepts. y = ln(x - 1) + 2
Click here to see answer by fractalier(2101) About Me 

Question 37866:
(7,5)
(6,0)
(-3,-2)

Click here to see answer by cornbread(1) About Me 

Question 38004: I'm going tp put the 4 problems I'm having a hard time with together:
3x^2+20x-3=0
x=?

e=1/7 j(c-d)
c=?

i^18

find the slope of the line containing the pair of points (-6,-9)(12,2)

Click here to see answer by stanbon(57962) About Me 

Question 38016: Rationalize the denominator %283+%2B+sqrt%283%29%29%2F%281+-+sqrt%283%29%29 I know to times both sides by 1+%2B+sqrt%283%29 and I get %283+%2B+sqrt%283%29%29%281+%2B+sqrt%283%29%29%2F%281%29%5E2+-+sqrt%283%29%5E2 then im lost, i know the answer is -2sqrt%283%29+-+3
Click here to see answer by Earlsdon(6294) About Me 

Question 36748: 4/x+12=3/x
Click here to see answer by fractalier(2101) About Me 

Question 37902: Please help me with the following problem:

find all of the rational zeros of g(x)=2x^3-11x^2+8x+21
thank you.

Click here to see answer by fractalier(2101) 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