Tutors Answer Your Questions about Rational-functions (FREE)
Question 203502: Please help with word problem:
Filling a tank. A water tank has an inlet pipe and a drain pipe. A full tank can be emptied in 30 minutes if the drain is opened and an empty tank can be filled in 45 minutes with the inlet pipe opened. If both pipes are accidentally opened when the tank is full, then how long will it take to empty the tank?
Click here to see answer by ikleyn(52957)   |
Question 1167884: Construct a situation that relates to the concept of a rational function, the scenario must specifically be about a basketball game. What is the importance of rational function to the scenario? Set a table of values, equation, solution and answers to support the answers please.
Click here to see answer by CPhill(1987)  |
Question 1165861: A beaker holding 1.5 litres of water is placed in a temperature controlled room so that 120 mL of water evaporates each day. What are the domain and range of the function? Explain your answer.
Steps needed also
Click here to see answer by ikleyn(52957) |
Question 1168450: 2. The distance from Davao City to Cotabato City is around 225. 2 kilometers .
a. How long will it take you to get to Cotabato City if your average speed is 30 kilometers per
hour, 40 kilometers per hour, 50 kilometers per hour?
b. Construct a function (s), where s is the speed of travel, that describes the time it takes to
drive from Davao City to Cotabato City?
Click here to see answer by ikleyn(52957) |
Question 1170079: Samson company has a budget of Php. 300,000 to be divided equally among it's various offices. The developer office of the company receives twice the amount of money than the other offices. Given x as the number of offices in the company, create a representation that shows the function f(x) is the amount of money each of the non-developer office would receive?
Click here to see answer by ikleyn(52957) |
Question 1185812: consider the rational function p=(512500v^2-449000v+19307)/(125v^2(1000v43)). this function is base on the Vander Waals equation for predicting the pressure "p" of gas as a function of "v" at a fixed temperature. The function above models the pressure "p" of carbon dioxide in terms of volume "v" if the temperature is 500 kelvins.
a. What is the vertical asymptote?
b. what is the horizontal asymptote?
c. what is the p-intercept?
d.what is the v-intercept?
e.sketch the graph of the function. What do you think is the domain of the function?
Click here to see answer by ikleyn(52957) |
Question 1185876: Given P120k budget for the intramurals of the ANHS-SHS.
___________________3-7. What is the functional model that would give the amount of share
each of the n number of strands if the ABM receives thrice the half
of the STEM and the HUMSS receives 2 more than the ABM?
___________________8-12. How much share will be given to the STEM Strand? (Round Off the
answer to the nearest peso.)
___________________13-17. What amount of share will the ABM Strand receive? (Round Off
the answer to the nearest peso.)
___________________18-22. How much budget is allocated to the STEM Strand?
Click here to see answer by ikleyn(52957) |
Question 1186372: You are the manager of a restaurant and you want to optimize as well as maximize the working capacity of four of your employees. Baratie has 45 tables and each table seats 4 people. You have observed the average time (in minutes) each of your employees take to set a table as as the average time each take to fold the four napkins in the table which you have tabulated.
EMPLOYEE AVERAGE TIME TO SET A TABLE
Patty 5
Carne 7
Sanji 4
Luffy 3
EMPLOYEE AVERAGE TIME TO FOLD 4 NAPKINS
Patty 4
Carne 3
Sanji 2
Luffy 5
First Situation: In order for your restaurant to be ready for opening in the least amount of time, which two among your employees should you assign to fold the napkins? How about which two should be assigned with the setting of the tables?
Second Situation: If all your employees start working at the same time (which means that if an employee is done, he should help another employee), how quickly can all the tables be set? How about all the napkins be folded?
Click here to see answer by CPhill(1987) |
Question 1192848: Hi, I am having a lot of trouble with this question.
Let f(x, y) = x*y2 be a function with the definition set de (x, y) so that
2x^2+y^2=6
a) Explain how we can know that f has the definition set of maximum point and minimum point. Explain why f does not have stationary points.
b) Determine the largest and smallest value of f using the Lagranges method.
c) What is the answer to parts a) and b) if the definition set is 2x^2+y^2≤6 ?
d) Let h: R^2 → R be a function given by h(x,y)=4-x^2-y^2
i) Find the level curve of f at point P(1,−1). Determine ∇h(1,−1).
Draw the point P, as well as the level curve and the gradient to h at this
point.
ii) Calculate how fast h changes at point P in the direction
→ → →
v=−3i+4j
iii) In which direction from point P is this change greatest? (Hint:
the direction can be given as a vector).
Click here to see answer by ElectricPavlov(122) |
Question 1199938: Cliff left point A at 8:00 A.M walking east at 3 kph. Renz left point A at 9:00 A.M walking north at 4 kph. The distance between the two boys since 8:00 A.M may be expressed as d(t)= √(〖at〗^2-2βt+β) where d and t denote the respective distance and time. Find a+β.
Click here to see answer by ikleyn(52957) |
Question 1199938: Cliff left point A at 8:00 A.M walking east at 3 kph. Renz left point A at 9:00 A.M walking north at 4 kph. The distance between the two boys since 8:00 A.M may be expressed as d(t)= √(〖at〗^2-2βt+β) where d and t denote the respective distance and time. Find a+β.
Click here to see answer by textot(100) |
Question 1199939: Cliff left point A at 8:00 A.M walking east at 3kph. Renz left point A at 9:00 A.M walking north at 4 kph. The distance between the two boys since 9:00 A.M may be expressed as d(t)=√(〖at〗^2+2βt+β) where d and t denote the respective distance and time. Find a-β.
Click here to see answer by textot(100) |
Question 1200529: Consider the function f(x) = x^2 + 9
a. Demonstrate how to find the average rate of change from x= -3 to x= 1.
b. Demonstrate algebraically how to find the simplification of f(a+h)-f(a)/h for the given f(x).
c. Let -3 = a, and 1 = a+h, find h. Put that into the simplification in part b. Compare it to the answer for part a. What do you notice?
Click here to see answer by GingerAle(43) |
Question 1209185: A homeowner has an octagonal gazebo inside a circular area. Each vertex of the gazebo lies on the circumference of the circular area.The area that is inside the circle, circle but outside the gazebo, requires mulch. This area is represented by the function m(x), where x is the length of the radius of the circle in feet. The homeowner estimates that he will pay 1.50 per square foot of mulch. The cost is represented by the function g(m), where m is the area requiring mulch.
m(x)=pi x^2
g(m)=1.50m
Write an expression that represents the cost of the mulch based on the radius of the circle.
Click here to see answer by ikleyn(52957) |
Question 1208836: Mary runs a computer repair business. She charges a flat rate of $50 per visit plus $25 per hour of service.
The equation C= 50+25h represents the cost, C, to hire Mary for h hours.
What is the initial value?
What is the rate of change?
What constraints are involved with this context?
Click here to see answer by ikleyn(52957) |
Question 1208474: This is an unfactorable polynomial function: -4x^5-20x^4-23x^3+42x^2+20x-8.
Can you please teach me how to solve for the x-intercepts manually without making the graph automatically using an app. I got 3 x-intercepts from the roots in the graph (-5.71..., 0.25..., 1.84...). Thank you so much.
Click here to see answer by Edwin McCravy(20067)  |
Question 1208474: This is an unfactorable polynomial function: -4x^5-20x^4-23x^3+42x^2+20x-8.
Can you please teach me how to solve for the x-intercepts manually without making the graph automatically using an app. I got 3 x-intercepts from the roots in the graph (-5.71..., 0.25..., 1.84...). Thank you so much.
Click here to see answer by ikleyn(52957) |
Question 1208319: Write an equation for a roller coaster that has at least 3 relative maxima and/or minima, travels below the surface of the ground at some point, and have at least one of the zeros in the function to have a multiplicity that is greater than 1. The equation should be written in h(x) in factored form.
Click here to see answer by math_tutor2020(3822) |
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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, 8101..8145, 8146..8190, 8191..8235, 8236..8280, 8281..8325, 8326..8370, 8371..8415, 8416..8460, 8461..8505, 8506..8550, 8551..8595, 8596..8640, 8641..8685, 8686..8730, 8731..8775, 8776..8820, 8821..8865, 8866..8910, 8911..8955, 8956..9000, 9001..9045, 9046..9090, 9091..9135, 9136..9180, 9181..9225, 9226..9270, 9271..9315, 9316..9360, 9361..9405, 9406..9450, 9451..9495, 9496..9540, 9541..9585, 9586..9630, 9631..9675, 9676..9720, 9721..9765, 9766..9810, 9811..9855, 9856..9900, 9901..9945, 9946..9990, 9991..10035, 10036..10080, 10081..10125, 10126..10170, 10171..10215, 10216..10260, 10261..10305, 10306..10350, 10351..10395, 10396..10440, 10441..10485, 10486..10530, 10531..10575, 10576..10620, 10621..10665, 10666..10710, 10711..10755, 10756..10800, 10801..10845, 10846..10890, 10891..10935, 10936..10980, 10981..11025, 11026..11070, 11071..11115, 11116..11160, 11161..11205, 11206..11250, 11251..11295, 11296..11340, 11341..11385, 11386..11430, 11431..11475, 11476..11520, 11521..11565, 11566..11610, 11611..11655, 11656..11700, 11701..11745, 11746..11790, 11791..11835, 11836..11880, 11881..11925, 11926..11970, 11971..12015, 12016..12060, 12061..12105, 12106..12150, 12151..12195, 12196..12240, 12241..12285, 12286..12330, 12331..12375, 12376..12420, 12421..12465, 12466..12510, 12511..12555, 12556..12600, 12601..12645
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