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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 107353: determine iof fractions are proportional 5/8 and 75/120
Click here to see answer by Fombitz(13828)

Question 107482: The figure shows the graphs of f(x) = x3 and g(x) = ax3.
What can you conclude about the value of a?
a. a < –1
b. –1 < a < 0
c. 0 < a < 1
d. 1 < a
Click here to see answer by MathLover1(6613)

Question 107485: Find the distance between the points A(4, –3) and B(–4, 3).
a. 5
b. 7
c. 10
d. 14
Click here to see answer by Fombitz(13828)

Question 107479: Solve loga (7x +1) = loga (4x +16)
a. 4
b. 5
c. 6
d. 8
Click here to see answer by Fombitz(13828)

Question 107480: If a piece of real estate purchased for $50,000 in 1998 appreciates at
the rate of 5% per year, then its value t years after the purchase will
be f (t) = 50,000(1.05t ) . According to this model, by how much will the
value of this piece of property increase between the years 2007 and
2008?
a. $2500
b. $3140
c. $3880
d. $31,400
Click here to see answer by Fombitz(13828)

Question 107484: Solve the inequality 21/15-3x<0 and express the solution as an
interval.
a. (5, ∞)
b. (7, ∞)
c. (–∞,5)
d. (–∞, 7)
Click here to see answer by Fombitz(13828)

Question 107670: Find the solutions to the equation: x2 + 2x – 8 = 0.
a. x = –4, 2
b. x = –3, 5
c. x = –2, 4
d. x = 4, 4
Click here to see answer by jim_thompson5910(28476)

Question 107670: Find the solutions to the equation: x2 + 2x – 8 = 0.
a. x = –4, 2
b. x = –3, 5
c. x = –2, 4
d. x = 4, 4
Click here to see answer by MathLover1(6613)

Question 107668: Find the solution to the equation: 6x – 3 = –2x + 21
a. 2.25
b. 3
c. 4.5
d. 6
Click here to see answer by jim_thompson5910(28476)

Question 107669: A pair of jeans is on sale for $39.20, which is 30% off the original
price. Find the original price of the jeans.
a. $42.20
b. $50.96
c. $56.00
d. $69.20
Click here to see answer by solver91311(16868)

Question 107665: The volume of a cylindrical tank is given by the formula V =πh r2
where h is the height of the cylinder and r is its radius. Find the
volume to the nearest tenth of a cubic foot of a cylindrical tank that
has a radius of 3 feet and a height of 5 feet.
a. 47.1 cu. ft.
b. 94.2 cu. ft.
c. 135.0 cu. ft.
d. 141.4 cu. ft.
Click here to see answer by solver91311(16868)

Question 107666: Express as a polynomial: (x+a)(X2-ax/x)
a. x 2 − a 2
b. x 2 − 2ax − a2
c. x 2 − 2ax + a2
d. x 2 + ax + a2
Click here to see answer by MathLover1(6613)

Question 107683: State the domain of the following:

g(x)=2x+1/x-3

Click here to see answer by MathLover1(6613)

Question 107726: x^4-y^4 x^2-y^2 x^6-y^6
------- x -------- x --------
x^3-y^3 x^3+y^3 x^2+y^2
those are fractions multiplied by eachother
"carry out the indicated operations and simplify"
the answer in the back of the book is x^4-2x^2y^2+y^4
i'm just confused as to how to get to that answer. i've tried some things, but they aren't working.
Click here to see answer by edjones(7569)

Question 107758: /-------
Find the domain of f (x) = 7 + /3x + 21 , and express it using interval
notation.
a. [–7, ∞)
b. [0, ∞)
c. [7, ∞)
d. [21, ∞)
Click here to see answer by Nate(3500)

Question 107667: If points A, B, and C lie on a coordinate line and points A and B
have coordinates 15 and 7 respectively, then which of the possible
coordinates for point C satisfy(ies) d(A, C) < d(B, C)?
a. 12
b. 17
c. both (a) and (b)
d. neither (a) nor (b)
Click here to see answer by scott8148(6628)

Question 107787: I have a questions about a graph, but cannot post the graph here. Is there a way to attach a document that shows the graph?
Click here to see answer by MathLover1(6613)

Question 107787: I have a questions about a graph, but cannot post the graph here. Is there a way to attach a document that shows the graph?
Click here to see answer by jim_thompson5910(28476)

Question 107803: Refer to the PhotoBucket Graph (link below)and identify the graph that represents the corresponding function below. Justify the answer.
http://i243.photobucket.com/albums/ff78/pstonephoto/Graph.gif
Click here to see answer by jim_thompson5910(28476)

Question 107946: Evaluate:
Find f[g(x)] if:
f(x)= 5x, and g(x)= -5x+6
Click here to see answer by jim_thompson5910(28476)

Question 107956: Can you determine the complex number solution to this equation. x^2-2x+10=0
Click here to see answer by jim_thompson5910(28476)

Question 107949: Find g[f(4)]if:
f(x)=6x, and g(x)=-2x-2
Click here to see answer by edjones(7569)

Question 107757: Find the solutions to the equation: x − 5/4 = 4
a. x = –1, 4
b. x = –1, 5
c. x = 1, 4
d. x = 1, 5
Click here to see answer by edjones(7569)

Question 108025: x^2+7x-8/
4x^2-8x+4
Click here to see answer by edjones(7569)

Question 108233: Hi, I need some help solving this problem on reducing rational expressions:
6m^2/9m^4-15m^3
Thanks!
Click here to see answer by stanbon(57219)

Question 108297: Reduce to the lowest terms: 5c-10a
c-2a
Click here to see answer by jim_thompson5910(28476)

Question 108149: Problem #1
For the function
h(x) = x³ - x² - 17x - 15,
Use long division to determine which of the following are factors of h(x).
a) x + 5 b) x + 1 c) x + 3
Problem #2
Determine the oblique asymptote of the graph of the function.

g(x)= (x² + 4x - 1)/(x + 3)
Thanks.

Click here to see answer by Edwin McCravy(8879)

Question 108232: Hi, I need help solving this problem on reducing rational expressions:

Thanks!
Click here to see answer by Edwin McCravy(8879)

Question 108231: Hi, I need help solving this problem on reducing rational expressions:
x^2-2xy+y^2/x^2-y^2
Thanks!
Click here to see answer by Fombitz(13828)

Question 108376: I need to find the domain to: g(x)=log(x+3) and g(t)=ln(t-1). I am so confused
Click here to see answer by Fombitz(13828)

Question 108382: This is combining rational expressions with an unlike denominator.
((x^2+2)/(x^2+2x-15)) + ((7-4x)/(15-2x-x^2))
Click here to see answer by stanbon(57219)

Question 108389: If a company earns a weekly profit of P dollars by selling x patterns, according to the formula P(x)=0.002x^2 +3.5x^2-800.
How many patterns must it sell each month in order to have a maximum profit?
What is the maximum profit?
Click here to see answer by stanbon(57219)

Question 108396: (5/x+6)-(3/x-6)
The denominators are the same but how do you change their signs so you can subtract?
Click here to see answer by checkley71(8403)

Question 108395: (y^3)^1/6
Click here to see answer by checkley71(8403)

Question 108437: Solve each system by elimination:
-x+3y=-1
x-2y=2
Click here to see answer by checkley71(8403)

Question 108441: Solve each system by elimination:
-x+3y=-1
x-2y=2
Click here to see answer by checkley71(8403)

Question 108444: Solve each system by elimination:
4x-3y=-2
4x+5y=14
Click here to see answer by checkley71(8403)

Question 108443: Simplify into one rational expression
x^-1 - y^-2
Click here to see answer by ankor@dixie-net.com(15623)

Question 108443: Simplify into one rational expression
x^-1 - y^-2
Click here to see answer by checkley71(8403)

Question 108443: Simplify into one rational expression
x^-1 - y^-2
Click here to see answer by stanbon(57219)

Question 108443: Simplify into one rational expression
x^-1 - y^-2
Click here to see answer by chitra(359)

Question 108619: What is the relationship between the lines y=-3x+5 and y=-3x-7? Are they parallel, perpendicular, or neither?
Click here to see answer by Fombitz(13828)

Question 108621: What is the relationship between the lines y=-3x+5 and y=-3x-7? Are they parallel, perpendicular, or neither?
Click here to see answer by checkley71(8403)

Question 108831: Problem #1
Solve: (x+3)(x-5)<0
Problem #2
Weight on Mars: The weight M of an object on Mars varies directly as its weight E on Earth. A person who weighs 95 lbs on Earth weights 38 lbs on Mars. How much would a 100 lb person weigh on Mars

Click here to see answer by stanbon(57219)

Question 108981: graph including any oblique asymptotes (x^2+5)/(x+1). I know how to graph it in a calculator. this problem is one found on pg 300 matched problem 6. I am not understanding how to do this problem based of the example given to me on the previous page. I have the answer in the book. it is all done on a gragh but I don't understand how to mathmatically work this out I can do it on a calculator but I need to know how to show this with out a calculator.
Click here to see answer by Fombitz(13828)

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