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

Tutors Answer Your Questions about Rational-functions (FREE)

Question 252660: 4. The formula s = square root of 13.5d estimates the speed s in miles per hour that a car was traveling when it applied its brakes and left a skid mark d feet long on a wet road. Estimate the speed of a car that left a 120-foot-long skid mark. What is the correct answer from the list below. Thank you!
about 20.75 mph
about 40.25 mph
about 60.75 mph
about 80.25 mph
Click here to see answer by richwmiller(9144)

Question 250706: Find an equation of a straight line that passes through the point (2,3) and is parallel to the line with equation 3x + 4y -8 = 0
Click here to see answer by drk(1908)

Question 250706: Find an equation of a straight line that passes through the point (2,3) and is parallel to the line with equation 3x + 4y -8 = 0
Click here to see answer by JimboP1977(308)

Question 252775: tickets for the homecoming dance cost $20 for a single, and $35 for a couple. ticket sales totaled $2280, and 128 people attended. how many tickets of each type were sold?

Click here to see answer by checkley77(12569)

Question 252780: Describe the transformation from a common function that occurs in the function, and then graph it.
f(x)=(x+3)^2+1
Click here to see answer by rapaljer(4667)

Question 250685: graph the function
f(x)=-1/2|x-4|+5
Click here to see answer by drk(1908)

Question 252914: I'm trying to rationalize the denominator of this of this equation
x^2+x/sqrt(5x)+x
Thank you and happy new year!!!
Click here to see answer by drk(1908)

Question 250445: Graph rational function and give equations of its asymptotes.
F(x)=1/x+2 +3

Click here to see answer by drk(1908)

Question 253116: hurry please help f(x)=(2/x+2)-2
Click here to see answer by Alan3354(31522)

Question 253187: I don't understand what they mean by graph of interval [-4,10]looks like and explain it I have been sitting up all night trying to understand some of these problems and I just can't comprehend what they are saying, I know how to read a graph once I figure out how to work out the equations.

baybay2763@email.phoenix.edu
carol2763@yahoo.com

Click here to see answer by richwmiller(9144)

Question 253353: if f(x)=x^2-x and g(x)=x-1, what is f(g(x))?

Click here to see answer by stanbon(57967)

Question 253354: at what x-coordinate does f(x)=|-2x+3|-2 have its minimum value?
a. -2
b. -2/3
c. 3/2
d. 3
Click here to see answer by stanbon(57967)

Question 253393: Which of the following is a horizontal asymtote of f(x)= 1/x^2-16?
A. x=-4
B. y=4
C. x=1
D. y=0
Click here to see answer by stanbon(57967)

Question 253355: Which of the following is a horizontal asymptote of f(x)= 1/x^2-16?
a. x=-4
b. y=4
c. x=1
d. y=0
Click here to see answer by edjones(7569)

Question 253441: Use the graph of y = 7 – 6x – x2
a) Without solving the equation (or factoring), determine the solutions to the equation 7 – 6x – x2 = 0 using only the graph.

Answer:
Explain how you obtain your answer(s) by looking at the graph:
b) Does this function have a maximum or a minimum?
Answer:
Explain how you obtain your answer by looking at the graph:

c) What is the equation of the line (axis) of symmetry for this graph?
Answer:

d) What are the coordinates of the vertex in (x, y) form?
Answer:

Click here to see answer by richwmiller(9144)

Question 253390: how do the graphs of f(x)=x^2 + x and g(x)= x^2+|x| compare?
A. f(x)=g(x) for x<0
B. f(x)>g(x) for x<0
C. f(x)=g(x) for x> or equal to 0
D. f(x)> g(x) for x> or equal to 0
Click here to see answer by Theo(3504)

Question 253443: Graph the equations on the same graph by completing the tables and plotting the points. You may use Excel or another web-based graphing utility. I did part a. Part b and c is what I can't solve.
a) y = 2x - 5
Use the table; find at least 3 points using any values for x.
x y
-1 -7
1 -3
3 1

b) y = 3x - x2
Use the values of x provided in the table.
x y
-1
0
1
2
3
4

c) Place your graph, or graphs, here.
Thank you

Click here to see answer by Alan3354(31522)

Question 253534: what is the 6th root of 25 to the 5th power?
Click here to see answer by richwmiller(9144)

Question 253533: what is the cubed root of 11?
Click here to see answer by Alan3354(31522)

Question 253818: Two roots of a polynomial equation with real coefficients are 2+3i and square root of 7. Then find two additional roots. Then find the degree of the polynomial.
Click here to see answer by drk(1908)

Question 253865: What are the extraneous solutions and the steps for:

Click here to see answer by Alan3354(31522)

Question 253914: this my first year in algebra and my home work is getting becuse the exams are tnext week
Click here to see answer by MRperkins(300)

Question 253914: this my first year in algebra and my home work is getting becuse the exams are tnext week
Click here to see answer by richwmiller(9144)

Question 253948: help me solve this eauqtion 45n2+10n=0
Click here to see answer by jim_thompson5910(28715)

Question 253954: For each of he polynomial functions find the following:
A) least integral upper bound
B) greatest integral lower bound
C) Find all rational zeros
D) Write F(x) in factored form with integral coeficients
1. f(x)= 2x^3+3x^2-4x-1
Click here to see answer by richwmiller(9144)

Question 253968: ok how would i factor 2x^3-5x^2-4x+3? I used synthetic division and found it to come out to (x-3)(x+1)(2x-1)..Where did I go wrong cuz I was told that (2x-1) is wrong
Click here to see answer by jim_thompson5910(28715)

Question 254145: Hello,
What is the value of y in this equation
I tried answering it and my answer is 4. But when I tried to check it, everything is messed up. Please teach me how.
Thank you and God Bless,
Koleen

Click here to see answer by Alan3354(31522)

Question 254161: can yo show me how to graph the equation using the slope and y intercept:
y = 7/4x + 3
Click here to see answer by Alan3354(31522)

Question 254161: can yo show me how to graph the equation using the slope and y intercept:
y = 7/4x + 3
Click here to see answer by richwmiller(9144)

Question 254323: how would I simplify sqrt of 7 over 5th root of 7 and the fourth root of 80 over 9

Click here to see answer by drk(1908)

Question 254393: Write in simplified radical form by rationalizing the denominator.
7/-3radical2+1
Click here to see answer by drk(1908)

Question 254479: Illustrate a curve that has a line with a point of tangency as well as three other points of intersection.
Click here to see answer by stanbon(57967)

Question 254485: A farmer has 20 days to plant corn and soybeans - the corn can be planted at a rate of 10 acres per day and the soybeans at a rate of 15 acres per day - the farm has 250 acres available - if the profit on corn is $30.00 per acre and the profit on soybeans is $25. per acre how much of each should the farmer plant for maximum profit first find the inequalities then graph them x and y cordinate plane and find where the different inequalities intersect- then take the points where they intersect and then times the cordinates by $30.00 for the corn and $25.00 for the soybeans

Click here to see answer by richwmiller(9144)

Question 254469: Given f(x)=sin x, g(x)= 1/x and h(x)=/x/
a) state the euation that represents y=h(g(f(x)))
b) Describe what each composition does in order that its applied.
c) Sketch the curve won the interval -2(pi)< or = x
Click here to see answer by drk(1908)

Question 254552: what equation would I use to work this problem?
the number of plasma tv's produced varies directly as the number of hours a 10 person assembly line works. If 20 tv's are produced in 2 1/2 hours, what time is the constant variable?
Click here to see answer by dabanfield(803)

Question 254719: a) How many solutions can an equation whose form is (x-1)(x –2)(x – 3) = 0 have?
b) Can you use the information you obtained in part a) and generalize how many maximum solutions you would expect in each of the following four cases? How? (Do NOT try to solve the following equations):
i. x4 +x3+ x2+ x +x0 = 0
ii. x54 +x12 + x11 + x10 + 23 = 0
iii. x99 +x98 +x97 + ….. + x3 + x2 + x1 + x0 = 0
iv. x34 + x32 + 1 = 0

Click here to see answer by drk(1908)

Question 254717: 4xy/x^2-y^2 + x-y/x+y
Click here to see answer by drk(1908)

Question 254841: How would I could tell if this ANSWER IS TRUE OR FALSE.
X^2+ 3X/6+3X=X^2/6
Click here to see answer by richwmiller(9144)

Question 254984: 4x^3-27x^2-11x-1=0
Click here to see answer by richwmiller(9144)

Question 254942: The body mass index, I, can be used to determine an individual’s risk for heart disease. An index less than 25 indicates a low risk. The body mass index is given by the formula, or model. I=700W/H2, where W=weight, in pounds, and H=height, in inches. Jerome is 67 inches tall. What weights will keep his body mass index between 23 and 33?

Click here to see answer by Theo(3504)

Question 255105: solve using rational zero theorum and rule of descarte: 4x^3-12x^2-11x-2=0
Click here to see answer by richwmiller(9144)

Question 255236: help me solve this fraction
x/12= x/13-5
Click here to see answer by edjones(7569)

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