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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 255299: solve using the rational zero theorem and descarte rule:x^4-5x^3-54x^2-80x-32=0
Click here to see answer by drk(1908)

Question 255379: Find the slope of the line passing through the points (0, -4) and (-6, 7).
Click here to see answer by jim_thompson5910(28598)

Question 255455: 19.

11/4-x + 2x/16-x^2 (1 point)

a. x-1/2x+3
b. 44+13x/(4-x)(4+x
c. 3x^2+2x-3/2x(x+3)

Click here to see answer by stanbon(57407)

Question 255532: Please answer the following showing your steps on how you got the answer.
Use the explicit formula a[n]=a[1]+(n-1)d to find the 150th term of the sequence below.
19,25,31,37,43, ...
Click here to see answer by stanbon(57407)

Question 255545: CAN YOU PLEASE HELP ME?!?!?
Describe the vertical asymptote(s) and hole(s) for the graph of
y= ((x-5)(x-2))/((x-2)(x+4))
Click here to see answer by scott8148(6628)

Question 255541: PLEASE HELP ME!!!
Find any points of discontinuity for the rational function.
y= ((x+6)(x+2)(x+8))/((x+9)(x+7))
Click here to see answer by palanisamy(496)

Question 255547: PLEASE HELP ME, PLEASE!!!
Find the horizontal asymptote of the graph of y= (6x^2+5x+9)/(7x^2-x+9)
Click here to see answer by richwmiller(9143)

Question 255669: find an nth degree polynomial function with real coefficients satisfying the given conditions: n=3; 2 and 5i are zeros; f(-1)=156.
Click here to see answer by drk(1908)

Question 255649: ((b-1)/(b+6))/((b-3)/(b^2+10b+24))
Divide and State any restrictions on the variables.
Click here to see answer by drk(1908)

Question 255516: Rationals 4 square root of -3/2
Click here to see answer by edjones(7569)

Question 255949: Please help me!! And can you please show me how you did it?!?!
Find the horizontal asymptote of f(x)=1/(x^2-16)
Click here to see answer by stanbon(57407)

Question 256352: Simplify by removing factors of 1
9m^2+9m
________
63m^2+81m

Click here to see answer by richwmiller(9143)

Question 256352: Simplify by removing factors of 1
9m^2+9m
________
63m^2+81m

Click here to see answer by CharlesG2(828)

Question 256317: How do you change the equation "2(x-1)(x+6)" into vertex form
Click here to see answer by Fombitz(13828)

Question 256299: Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. (1, -4), m = -4.
Someone please show me the steps to come to the answer. Thank you.
Click here to see answer by Fombitz(13828)

Question 256302: Write the equation of the line L that satisfies the given geometric conditions.
L has y-intercept (0, 2) and is perpendicular to the line with equations 2x-3y=6. Someone please help me by showing me the steps to get to the answer. Thanks.
Click here to see answer by Fombitz(13828)

Question 256444: inverse functions:
find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverse of each other.

Click here to see answer by Edwin McCravy(8912)

Question 256448: inverse functions
find f(g(x)) and g(f(x)) and determine whether the functions f and g are inverse of each other.
f(x)= 6x-3 and g(x)= x+6/3
Click here to see answer by drk(1908)

Question 256484: Diane drove 251 miles using 10 gallons of gas. At this rate, how many miles would she drive using 8 gallons of gas?

Click here to see answer by rfer(12670)

Question 256537: What is the real solution of the equation?
x^2-6x=27
Click here to see answer by drk(1908)

Question 256696:
Click here to see answer by richwmiller(9143)

Question 256706: I would like to know how to rationalize and simplify the problem: the square root of 6 over the square root of 5 - the square root of 3
Click here to see answer by richwmiller(9143)

Question 256799: 7/t + 2/t =
Click here to see answer by palanisamy(496)

Question 256873: find f(g(x)) and g(f(x)) and determine whether the pair of functions f and g are inverse of each other
f(x)=6x-8 and g(x)=x+6/8
a. f(g(X))=
simplify use intergers or fractions for any numbers in the expression
Click here to see answer by drk(1908)

Question 256867: for f(x)=5x-1 and g(x)=5x^2-4, find the following functions
a. (f g)(x)
b. (g f)(x)
c. (f g)(1)
simplify answer
Click here to see answer by drk(1908)

Question 256875: amount invested: $800 number of compounding periods: 360 annual rate:? accumulated amount: 1200 time (t) in years: 2
r=?
do not round until final answer. then round one decimal place as needed
Click here to see answer by drk(1908)

Question 257140: Use synthetic division to evaluate g(4) and g(5).
g(x)= 9x^4 - 8x^2 - 9x - 5
Click here to see answer by Alan3354(30993)

Question 257646: Without solving the equation (or factoring), determine the solutions to the equation 7 – 6x – x2 = 0 using only the graph.
Click here to see answer by richwmiller(9143)

Question 258087: (4x-5)^2=64
Click here to see answer by richwmiller(9143)

Question 258349: 2x/x+3 - 4/x
A.2x-4/2x+3
B.2x-4/x^2+3x
C.2x^2-4x-12/x^2+3x
D.8x/2x+3

Click here to see answer by richwmiller(9143)

Question 258725: Answer the following. Please show your work.
1+14+27+...+183
Step 1: Using the formula for the sum of an arithmetic series, find the value of each of the following:
a[1]= a[2]= a[n]= and d=a[2]-a[1]=
Step 2: Find n, the number of terms in the arithmetic sequence. Use the formula a[n]=a[1]+(n-1)d

Step 3: Find the sum of the arithmetic sequence.
Click here to see answer by Fombitz(13828)

Question 258868: How do I determine the restricted values, if any, of a rational expression?
Click here to see answer by Fombitz(13828)

Question 258948: 5√63
Click here to see answer by stanbon(57407)

Question 258955: (-2√15)(4√21)
Click here to see answer by Greenfinch(383)

Question 258947: 5√63
Click here to see answer by Greenfinch(383)

Question 259038: My teacher gave us this word problem , please help !
"A police accident investigatore can use the formula s=2√5l to estimate the speed s of a car in miles per hour based on the length l in feet of the skid marks it left . How fast was the car traveling that left the skid marks 50 feet long?
PLEASE HELP ME =/
Click here to see answer by drk(1908)

Question 259265: Find the change in y when x increases by 1:
y= -3x + 4
Or
y= 2/3x + 7

Click here to see answer by Fombitz(13828)

Question 259265: Find the change in y when x increases by 1:
y= -3x + 4
Or
y= 2/3x + 7

Click here to see answer by Alan3354(30993)

Question 259325: Graph the function then state the domain and range
y = 2 square root x+5-1
Click here to see answer by Fombitz(13828)

Question 259345: How would i solve a problem that wants the least common denominator of 1/6y, and 3x/4y+12
Click here to see answer by richwmiller(9143)

Question 259569: find two consecutive odd integers whose product is 195
Click here to see answer by drk(1908)

Question 259570: two numbers differ by 8 and the sum of their squares is 320. find the two numbers
Click here to see answer by drk(1908)

Question 259568: the diagonal of a rectangle is 60 inches long. if the length of the rectangle is 12 inches greater than the width, find the dimensions.
Click here to see answer by Fombitz(13828)

Question 260023: simplify 25-x^2/5x^4 times x^4 +5x^3/x-5
Click here to see answer by richwmiller(9143)

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