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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 479552: please help me to simplify the expression ((x^2-16)/2x)(12/(6x-24)).
Thank You
Click here to see answer by Maths68(1474)

Question 480379: Please help! I am trying to learn to write the partial fraction decomposition of rational expressions such as the following:
(4x^2) / (x^3+5x^2+7x+3)
My book is saying something about "rational zeros theorem," and I'm just not getting it. I need the "for-dummies" explanation, if you please!
Thanks!
Click here to see answer by Edwin McCravy(8909)

Question 480504: Simplify completely.
-7xy^2/28x^5y, x-2/8x^2-32
Click here to see answer by Tatiana_Stebko(1326)

Question 480766: f(x)=-2/3x+1/3 for x=-5
Click here to see answer by Tatiana_Stebko(1326)

Question 480935: i need help
u+x/ux^2 + 5u+x/u^2x
Click here to see answer by stanbon(57387)

Question 480959: is the ordered pair a solution to the equation ?
3x+5y=-22, 4x+2y+-20
(-4,-2)
Click here to see answer by rfer(12670)

Question 481018: How do you find the ratio of: 4(x+y)=8(x-y). Please help!!!
Click here to see answer by stanbon(57387)

Question 481061: i need help with this problem -8z+11<9z+2
Click here to see answer by jorel1380(2518)

Question 481581: How do i know if f(x)=2/x-2 is a linear function
Click here to see answer by Alan3354(30993)

Question 481908: Okay, this problem is algebra 2 but, I attempted to do some work on it but.... im stuck. It reads: the height of a diver jumping from a diving platform is about h= -16.1t^2 +11t+34.3

Where h is the height of the diver in feet above the water and t is the time measured in seconds, when diving from a platform about 34.3 feet above the water with an upward initial velocity of 11 ft/sec.

question: After how many seconds is the diver's height above the water 7 feet?
After how many seconds is the diver's height above water 36 feet?

*I set the whole thing up as an equation as I was taught in algebra 2 however, when I referred to my notes... we did not have 3 numbers on the right side of the equation... so, I attempted to solve it and I stopped at 27.3= -16.1t^2 +11t
Click here to see answer by stanbon(57387)

Question 482021: Solve for x? 4x^2=-15x-9
Click here to see answer by unlockmath(1603)

Question 482111: which way does the graph of x^2=8y open?
Click here to see answer by mananth(12270)

Question 482249: w=Cr^-2
Where C is a constant, and r is the distance that an object is away from the center of the Earth.
Suppose an object is 100 pounds when it is at sea level. Find the value of C that makes the equation true. (sea level is 3,963 miles from the center of Earth.)
Click here to see answer by MathLover1(6638)

Question 482387: 2 = 3M/4+ 11 therefore M=

Click here to see answer by rfer(12670)

Question 482612: 4-1/v+2 + 5/v+1=0
Click here to see answer by LagrangeSon678(5)

Question 482737: Hi, I'm trying to do my precalc honors summer work, and I'm completely stuck on how to solve G(x)=x^3-8; I know it seems simple, but its although as soon as I get out of school for the summer, I completely forget how to do anything slightly complicated. Could you please explain to me how to create a table with enough points so that I can graph it by hand? Also, is there a vertex formula? It seems like there would be a vertex with this type of graph. I think the shape of it should be similar to that of an "S" because it is x^3, am I correct? Thank you, Jess
Click here to see answer by stanbon(57387)

Question 482118: write the equation of the hyperbola with center (0,0), focus (-5,0), and vertex (-2,0).
Click here to see answer by lwsshak3(6522)

Question 482115: write the equation of the ellipse with center(0,0), vertex (0,6) and co-vertex(-3,0).
Click here to see answer by lwsshak3(6522)

Question 480163: Alicia can row 5 miles downstream in the same time it takes her to row 2 miles upstream. She rows downstream 4 miles/hour faster than she rows upstream. Find Alicia's rowing rate each way(downstream/upstream). Round your answers to the nearest tenth, if necessary.
Click here to see answer by lwsshak3(6522)

Question 483445: i can't figure out the steps to find the zeros of this equation: y=125x^3-8
Click here to see answer by stanbon(57387)

Question 483402: Find the inverse of the function g(x)= 2x-1.
Click here to see answer by lwsshak3(6522)

Question 478976: Find all numbers for which the rational expressions is undefined
(n^3-2n)/n^2-4
Click here to see answer by lwsshak3(6522)

Question 476457: Solve (x +1)(x -4) < 0 and express the solution set in set notation
Click here to see answer by lwsshak3(6522)

Question 474451: Find y if the point (4,y) is equidistant from the points (-1,-1) and (1,3)
Click here to see answer by lwsshak3(6522)

Question 484456: What does it mean when there is a dash (-) above a number?

_
Click here to see answer by chessace(471)

Question 484947: solve. 3/y=9/y-1/5
Click here to see answer by Tatiana_Stebko(1326)

Question 484967: I super duper need your help with this word equation , could you please help me (:
The number in increasing order
, , ,

Click here to see answer by Edwin McCravy(8909)

Question 485059: what is the slope and the y-intercept of the equation 4y=2x-10 ?
Click here to see answer by rfer(12670)

Question 485077: what are the steps to make set notations like
{X|x<20} into an interval notation then number line
Click here to see answer by MathLover1(6638)

Question 484659: How do you graph x squared + 10x + y squared + 20y -19 = 0
Click here to see answer by lwsshak3(6522)

Question 483933: Could you please help me find the inverse of the following function?
f(x) = sqrt(3)(x-1) + 2
This is what I have. Is it correct?
y-2 = sqrt(3)(x-1)
(y-2)sqrt(3) = x-1
(y-2)(y-2)(y-2) = x-1
(y^2-2y-2y+4)(y-2) = x-1
y^3-2y^2+4y^2-8y+4y-8 = x-1
y^3+2y^2-6y-8 = x-1
y^3+2y^2-6y-7 = x
Click here to see answer by lwsshak3(6522)

Question 485380: is a -4 a rational number

Click here to see answer by chessace(471)

Question 485437: {(-3, 2), (-1, 3), (-1, 2), (0, 4), (1, 1)} {-(3, 2), (-2, 3), (-1, 1), (0, 4), (0, 1)} {(- 3, 3), (-2, 3), (-1, 1), (0, 4), (0, 1) }{-(3, 2), (-2, 3) , -(1, 2), (0, 4), (1, 1)} Determine which relation is a function. I am so confused!
Click here to see answer by chessace(471)

Question 485854: how do you make a table and graph the function f(x)=1/2 of x squared
Click here to see answer by Theo(3464)

Question 485907: what values of x are not permissible inthe following expressions:
1. 8/x
2. 5/x-9
3. x^2-x-12/x^2-5x
4. x-6/x(x+6)
5. x^2-3/(x+2)(x=8)
Click here to see answer by MathLover1(6638)

Question 486303: Please help me reduce to the lowest term
r^2-r-20/r^2+r-30
Thank you!
Click here to see answer by Tatiana_Stebko(1326)

Question 486430: Multipy and simplify type an exact answer
(3√6 - 6√3)(2√6 + 4√3)=

Click here to see answer by Tatiana_Stebko(1326)

Question 486285: Solve for x.
0=(x)/(3-x)+(2)/(3)
Please help me figure this problem out.
Thank you!
Click here to see answer by lwsshak3(6522)

Question 486517: How would you define what a rational exponent is? Is there such thing as an irrational exponent?
Click here to see answer by richard1234(5390)

Question 485722: Hi, I needed help with my precalc honors summer work, and I was wondering if someone could help me. How do I:
a) Express the quadratic equation in standard form
b) Sketch the graph (I know how do do this)
c) Find its maximum or minimum value (What does this mean? The vertex?)
What I have so far:
Original equation: f(x)=2x-x^2
A)
f(x)=2x-x^2
-x^2+2x+0
(-x^2+2x+1)-1
-(x^2-2x-1)+1
I got stuck...I would love it if someone would explain to me how to get rid of the negative coefficient so I can factor it, and how to put this equation into standard form. Also I would appreciate it a ton if someone could tell me what minimum/maximum of a graph is and how to find it. Thanks a ton, Jess
Click here to see answer by lwsshak3(6522)

Question 478378: If possible there are several questions that are puzzling me and if possible I would like some help. Graphing is very confusing and I really need all the help I can get...thank you in advance
1.Graphing f(x) = 4x-1
2.Graphing g(x)=|x+2|
3. Use the graph of the function f to find f(-4),f(-3),f(-2)
4. Graph f(x)= -3x
5. graph the function f(x)=x²-x-5
Click here to see answer by lwsshak3(6522)

Question 486963: Hello,
I am having trouble working out the following problem.
(4y^2)/(9x)*(27)/(16xy^2)
Thank you
Click here to see answer by MathLover1(6638)

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