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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 487143: how do i solve 12=3/(x+4)
Click here to see answer by nerdybill(6960)

Question 487143: how do i solve 12=3/(x+4)
Click here to see answer by MathLover1(6634)

Question 487881: Please help me solve this expression : (s^2/s+3) + (6s+9/s+3)
Click here to see answer by chessace(471)

Question 488239: Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).

a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes.
c. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation ? How do you know?

i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?

Click here to see answer by richard1234(5390)

Question 488646: Graph this inequality:
-1.3<=x<=6.4
Click here to see answer by Edwin McCravy(8909)

Question 489178: graph using a table of values
y = 1/3x + 3/2
x y
0 ?
? 0
Click here to see answer by MathLover1(6634)

Question 489262: Find the x intercepts and y intercepts
f(x)=-x^2+3x+28
Click here to see answer by MathLover1(6634)

Question 489409: I am having trouble graphing,it is difficult for me.
I'd appriciate some help.
the question says: Graph each equation by writing two linear equations.
the problem is : y= -|3x+4|
Click here to see answer by Edwin McCravy(8909)

Question 489421: I'd appriciate some help on this question sense i have trouble graphing.
QUESTION: graph each equation by writing two linear equations.
PROBLEM: y=|x-3| ??
Click here to see answer by Edwin McCravy(8909)

Question 489514: How do you solve [(a^2/3*b^-2)^3]^-1
Click here to see answer by chessace(471)

Question 489623: Which function dominates as x approaches infinity ?
5*2^x OR 69000x^18
Click here to see answer by Edwin McCravy(8909)

Question 489648: Given f(x)=x^3-4x^2-x+4/x^4/-x^3/-x^2/-3x/-6, find a)the domain of f and b) the zeros of f if any.

Click here to see answer by richard1234(5390)

Question 489680: f(x)=-x^2+2x+8
Find the x and y intercepts
Click here to see answer by mananth(12270)

Question 489680: f(x)=-x^2+2x+8
Find the x and y intercepts
Click here to see answer by nerdybill(6960)

Question 489733: 7x + 6 = 3
__________
9
Click here to see answer by deborabr(181)

Question 489927: what are the intercepts of y=(x+216)^(2/3)
Click here to see answer by stanbon(57361)

Question 490215: x^1/2 + 3x^1/4 - 10=0
Click here to see answer by stanbon(57361)

Question 490348: Im a little confused on this problem, even though this may look very easy
Sketch xy=4 and its asymptotes. Give equations for the asymptotes.
Click here to see answer by lwsshak3(6509)

Question 490005: The equation of a circle where A and B are the endpoints of the diameter
Using the points A(4,−9 ) and B(−12,−3 )
Click here to see answer by lwsshak3(6509)

Question 489970: f(-x)=x^2+8x+1
not sure how to apply the negative variable -x times x^2 = -x^2 or -x^3?
-x times 8x = 7x? or -8x?
Click here to see answer by lwsshak3(6509)

Question 489549: how to solve (s^5/2)(s^-4/3)(s^-1/6)
Click here to see answer by lwsshak3(6509)

Question 491123: 12x/7 divide by 9/8x
Click here to see answer by jorel1380(2518)

Question 491615: f(1)=1,f(2n)=f(n),and f(2n+1)=f(2n)+1
Find max of f(n) when n is greater than or
equal to 1 and less than or equal to 1994.
Click here to see answer by richard1234(5390)

Question 492059: Write the x intercept as ordered pair and the vertical asymptotes as equations of vertical lines g(x)=(18-3x)/(x^2-3x-10)
Click here to see answer by stanbon(57361)

Question 492792: Nermal is a monster who eats cheese. Nermal starts off weighing 2 pounds. for every pound of cheese he eats, he gains 1/2 pound. When he reaches 2000 pounds, he will explode.
A. If Nermal's weight is the x-variable, what is the domain?
B. Assume that the cheese eaten is the y-variable. Is the range the set of all real numbers? Why or why not?
thank you
Click here to see answer by josmiceli(9681)

Question 493036: Suppose f(x)=2x+5. Find the value if -2f(x+1)
It doesn't make any sense on how to solve.
Click here to see answer by Gogonati(809)

Question 493674: if x=3 what is 2x of the power of 2
Click here to see answer by MRperkins(300)

Question 493820: Question #1
Use the graph of the function to estimate:
a. f(2)
b. f(–4)
c. All x such that f(x) = 0
My graph reads such as y=4 and x=-4 on the graph and the line is straight at those intersections with the line continuing. I couldn't paste the actual graph for you but if you could help based on this information please help me.

Click here to see answer by richard1234(5390)

Question 494276: Right now I am learning about describing transformations of Absolute Value, Square Root, and Logarithmic functions. I don't quite understand it. Could you help?
Click here to see answer by stanbon(57361)

Question 494609: Find the domain of this function.
g (x) = 3x/x^3 + x
Click here to see answer by stanbon(57361)

Question 494744: Find all numbers for which the rational expression is undefined.
n^3-8n/n^2-9
Click here to see answer by solver91311(16897)

Question 494839: Any help with this problem would be appreciated. I am down to my last 3 questions on this test and this is giving me problems.
Solve by substitution method
4x+7y=4
x+26-8y
Click here to see answer by Theo(3464)

Question 494840: How would I graph x+3y=6
Click here to see answer by josmiceli(9681)

Question 494834: This is mind boggling to me any help would be greatly appreciated
g(x) = 3/2-5x
just so I don't confuse anyone it is 3 over 2 minus 5x
Click here to see answer by josmiceli(9681)

Question 494836: I need to solve this my elimination method
7r-3s=33
3r+7s=39

I tried to solve using the example given but my answer makes absolutely no sense! Help!
Click here to see answer by Theo(3464)

Question 495004: t^3-6t/t^2-49
Click here to see answer by stanbon(57361)

Question 495005: p^2-49/(p+7)^2
Click here to see answer by stanbon(57361)

Question 495279: When a sound travels through water the distance "y" in meters that the second travels in "x" seconds is given by the equation y = 1400x.
1) How far does a sound travel underwater in 5 seconds?
2) In air, the equation is y = 343x. Does sound travel faster in air or water? Explain.
Click here to see answer by richard1234(5390)

Question 495559: y = sqrtx - 2

Explain why no negative values are chosen as values to substitute in for x.

Click here to see answer by oberobic(2304)

Question 495581: Write an equation of a line that passes through the point (9,-1) and is parallel to x+y=6. Write three different equations in standard form, point slope form, and slope-intercept form.
Click here to see answer by oberobic(2304)

Question 495641: Can You Solve For A Negative Radical Number?
Click here to see answer by Alan3354(30993)

Question 495901: f(x)=3x+5. show your work is the point(-2,1)on the graph of the function? Is x=0 a zero of the function?
Click here to see answer by rfer(12660)

Question 496386: suppose a musical piece calls for an orchestra to start at fortissimo (about 90 decibels), decrease in loudness to panissimo (about 50 decibels) in four measures, and then increase back to fortissimo in another four measures. The sound level s (in decibels) of the musical piece can be modeled by the function s= 10*|m-4| + 50 where m is the number of measures.
a). graph the function for 0 is less than or equal to m which is less than or equal to 8
b)After how many measures should the orchestra be at the loudness of mezzo forte (about 70 decibels)?
Click here to see answer by richard1234(5390)

Question 493195: graph the following rational function: R(x)=x^2+14x+24/x^2+13x+12
Click here to see answer by lwsshak3(6509)

Question 492058: what is the x intercept as an ordered pair and what is the vertical asymptotes as equations of vertical lines f(x)=(4x^3-64x)/(x^2+6)
Click here to see answer by lwsshak3(6509)

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