Questions on Algebra: Polynomials, rational expressions and equations answered by real tutors!

Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)

Question 397925: Solve 6/x+8=8/x and what does x=?
Click here to see answer by Tatiana_Stebko(1539)

Question 397864: how would i determine the zeros of f(x) = x3 � 12x2 + 28x � 9.?
Click here to see answer by Alan3354(69443)

Question 397951: A black racer snake travels 36.8 km in 16 hours. What is the speed in km for just 1 hour?
Click here to see answer by Tatiana_Stebko(1539)

Question 397903: A rectangle has an area given by A = x^2 + 5x + 6
Find an expression for the possible length of the rectangle.
Click here to see answer by richard1234(7193)

Question 397954: The are approximately 3 pounds of muscle for every 5 pounds of body weight of a certain animal. For a 105 pound animal, how much of the weight is muscle?
Click here to see answer by josmiceli(19441)

Question 397957: A particular hybrid car travels approximately 312 miles on 6 gallons of gas. Find the amount of gas required for a 936 mile trip?
Click here to see answer by stanbon(75887)

Question 397957: A particular hybrid car travels approximately 312 miles on 6 gallons of gas. Find the amount of gas required for a 936 mile trip?
Click here to see answer by Tatiana_Stebko(1539)

Question 397958: A sample of 136 firecrackers contained 3 duds. How many duds would you expect in a sample of 2448 firecrackers?
Click here to see answer by Tatiana_Stebko(1539)

Question 397965: The number N of aluminum cans used each year varies directly as the number of people P using the cans. If 57 people use 16,473 cans in one year, how many cans are used in a city which has a population of 1,862,000?
Click here to see answer by stanbon(75887)

Question 397974: Find the variation constant and an equation of variation where y varies inversely as x. Also y=7 and x=8?
Click here to see answer by stanbon(75887)

Question 397976: It takes 7 hours for 8 cooks to prepare the food for a wedding rehearsal dinner. How long will it take 3 cooks to prepare the dinner? Also what kind variation (inverse or direct) applies to the situation?
Click here to see answer by stanbon(75887)

Question 397955: Solve (x+4)(x-9)(x+2)>0
Click here to see answer by lwsshak3(11628)

Question 397999: Solve 2/11w+9/w=1?
Click here to see answer by MathLover1(20849)

Question 397998: Solve (2a-1)=a+17/a+1?
Click here to see answer by MathLover1(20849)

Question 398006: Find the variation constant (we'll use k) and an equation of variation where y varies directly as x. Also y=4 and x=1.
Click here to see answer by Alan3354(69443)

Question 398000: Find the variation constant (we'll use k) and an equation of variation where y varies directly as x. Also y=4 and x=1.

Click here to see answer by Alan3354(69443)

Question 397972: Hooke's Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 25cm when the weight is 3kg, what is the distance when the weight is 6kg?
Click here to see answer by Alan3354(69443)

Question 398004: Hooke's Law. The distance d when a spring is stretched by a hanging object varies directly as the weight w of the object. If the distance is 25cm when the weight is 3kg, what is the distance when the weight is 6kg?

Click here to see answer by Alan3354(69443)

Question 398011: It is known that making one pound of honey requires 20,000 trips by bee to flowers to gather nectar. How many pounds would 85,000 trips produce?
Click here to see answer by solver91311(24713)

Question 397973: express the following equarion using negative exponents:
1
_
t(4) - four represents fourth power
Click here to see answer by richard1234(7193)

Question 397956: It is known that making 1 pound of honey requires 20,000 trips by bees to flowers to gather nectar. How many pounds of honey would 85,000 trips produce?
Click here to see answer by Tatiana_Stebko(1539)

Question 398092: Choose the end behavior for each of the polynomial function.
f(x)= -5x^5-9x^2+6x+1. I got rises to the left and falls to the right. Is this correct?
f(x) 3x^3+3x^2-6x-5. I got Falls to the left and rises to the right. Is this correct?
f(x) -x(x-3)(5x+2), I think I have to foil to get -5x^3-2x^2+15x+6 So I think this one rises to the left and falls to the right. Please let me know if I did these correctly.

Click here to see answer by stanbon(75887)

Question 398115: Hello. Can you please help me?
I need to solve this equation..
x^6-9x^4-x^2+9=0
Thank you!
Click here to see answer by stanbon(75887)

Question 397961: Find the variation constant (we'll use k) and an equation of variation where y varies directly as x. Also y=4 and x=1.
Click here to see answer by ewatrrr(24785)

Question 398135: How do I form a polynomial with zeros and degree are given. Example: Zeros: -5, Multiplicity 2;5, multiplicity 1; degree 3?

Click here to see answer by stanbon(75887)

Question 398134: solve the equation and check your answer:

Click here to see answer by ewatrrr(24785)

Question 398148: p(x)=2x^2n-x^n-4 and r(x)=8x^2n+2x^n+1, find p(x)-r(x)
Click here to see answer by MathLover1(20849)

Question 398221: I don't understand very well the plynomials topic.
I have a study guide, but i dont know how to do solve it. For example i have to expand: (3w-2T)^2.....How can i do this?
Please help
Click here to see answer by MathLover1(20849)

Question 398232: Divide.
(9x^3-10+19+6x^4)/(-2x^2+3x-3)
Write your answer in the form Q(x)+ R(x)/ -2x^2+3x-3,
where Q(x) is the quotient and R(x) is the remainder.

Click here to see answer by rfer(16322)

Question 398114: Hello. Can you please help me?
I need to solve this equation...
20x^4-53x^2+18=0
Thank you so much!
Click here to see answer by robertb(5830)

Question 398167: suppose a market research company finds that at a price of p=$20, they would sell x=42 tiles each month. if they lower the price to p=$10, then more people would purchase the tile, and they can expect to sell x=52 tiles in a months time. find the equation of the line for the demand equation. write your answer in the form p= mx+b. write an equation using two points in the form (x,p)
Click here to see answer by robertb(5830)

Question 398100: Factor completely.

Click here to see answer by robertb(5830)

Question 398291: A six-passenger plane cruises at 180 mph in
calm air. If the plane flies 7 miles with the wind in the
same amount of time as it flies 5 miles against the wind,
then what is the wind speed?

Click here to see answer by mananth(16946)

Question 398292: 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 mananth(16946)

Question 398464: factor each completely:
n^2-11n+10
Click here to see answer by jim_thompson5910(35256)

Question 398541: Maria bicycles 6km an hour faster than Praedup. In the same time it takes Praedup to bicycle 42km, Maria can bicycle 60km. How fast does each bicyclist travel?
Click here to see answer by checkley79(3341)

Question 398548: Divide and simplify 9/v divided by 27/v?
Click here to see answer by checkley79(3341)

Question 398594: Conner tosses a dog treat at an initaial velocity of 13.7 meters per second. The height of the treat above the dog's mouth h in meters after t seconds is given by the equation.
Click here to see answer by 1321(1)

Question 398537: Hi. Can you please help me?
I'm solving this equation for time (t), when it equals zero....so
P(t)=-t^4+9t^2+400 with -t^4+9t^2+400=0
Please help me! Thank you!

Click here to see answer by checkley79(3341)

Question 398710: f(x)=6x/x-2, determine the x coordinate of a point (x,y) where 3
Click here to see answer by stanbon(75887)

Question 398721: What is the equation of the tangent line to f(x)=x^2-2x+3/x-5 at (3,-3)?
Click here to see answer by Alan3354(69443)

Question 398723: Convert the given expression into scientific notation.
(5*10^9)(8*10^-2) divided by (2*10^-3)
Click here to see answer by Alan3354(69443)

Question 398722: Simplify each rational expression. State the excluded values of the variables
3a +15
_______
2
a - 25
That high 2 is an exponent a to the second power.
Click here to see answer by Earlsdon(6294)

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, 12646..12690, 12691..12735, 12736..12780, 12781..12825, 12826..12870, 12871..12915, 12916..12960, 12961..13005, 13006..13050, 13051..13095, 13096..13140, 13141..13185, 13186..13230, 13231..13275, 13276..13320, 13321..13365, 13366..13410, 13411..13455, 13456..13500, 13501..13545, 13546..13590, 13591..13635, 13636..13680, 13681..13725, 13726..13770, 13771..13815, 13816..13860, 13861..13905, 13906..13950, 13951..13995, 13996..14040, 14041..14085, 14086..14130, 14131..14175, 14176..14220, 14221..14265, 14266..14310, 14311..14355, 14356..14400, 14401..14445, 14446..14490, 14491..14535, 14536..14580, 14581..14625, 14626..14670, 14671..14715, 14716..14760, 14761..14805, 14806..14850, 14851..14895, 14896..14940, 14941..14985, 14986..15030, 15031..15075, 15076..15120, 15121..15165, 15166..15210, 15211..15255, 15256..15300, 15301..15345, 15346..15390, 15391..15435, 15436..15480, 15481..15525, 15526..15570, 15571..15615, 15616..15660, 15661..15705, 15706..15750, 15751..15795, 15796..15840, 15841..15885, 15886..15930, 15931..15975, 15976..16020, 16021..16065, 16066..16110, 16111..16155, 16156..16200, 16201..16245, 16246..16290, 16291..16335, 16336..16380, 16381..16425, 16426..16470, 16471..16515, 16516..16560, 16561..16605, 16606..16650, 16651..16695, 16696..16740, 16741..16785, 16786..16830, 16831..16875, 16876..16920, 16921..16965, 16966..17010, 17011..17055, 17056..17100, 17101..17145, 17146..17190, 17191..17235, 17236..17280, 17281..17325, 17326..17370, 17371..17415, 17416..17460, 17461..17505, 17506..17550, 17551..17595, 17596..17640, 17641..17685, 17686..17730, 17731..17775, 17776..17820, 17821..17865, 17866..17910, 17911..17955, 17956..18000, 18001..18045, 18046..18090, 18091..18135, 18136..18180, 18181..18225, 18226..18270, 18271..18315, 18316..18360, 18361..18405, 18406..18450, 18451..18495, 18496..18540, 18541..18585, 18586..18630, 18631..18675, 18676..18720, 18721..18765, 18766..18810, 18811..18855, 18856..18900, 18901..18945, 18946..18990, 18991..19035, 19036..19080, 19081..19125, 19126..19170, 19171..19215, 19216..19260, 19261..19305, 19306..19350, 19351..19395, 19396..19440, 19441..19485, 19486..19530, 19531..19575, 19576..19620, 19621..19665, 19666..19710, 19711..19755, 19756..19800, 19801..19845, 19846..19890, 19891..19935, 19936..19980, 19981..20025, 20026..20070, 20071..20115, 20116..20160, 20161..20205, 20206..20250, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 20746..20790, 20791..20835, 20836..20880, 20881..20925, 20926..20970, 20971..21015, 21016..21060, 21061..21105, 21106..21150, 21151..21195, 21196..21240, 21241..21285, 21286..21330, 21331..21375, 21376..21420, 21421..21465, 21466..21510, 21511..21555, 21556..21600, 21601..21645, 21646..21690, 21691..21735, 21736..21780, 21781..21825, 21826..21870, 21871..21915, 21916..21960, 21961..22005, 22006..22050, 22051..22095, 22096..22140, 22141..22185, 22186..22230, 22231..22275, 22276..22320, 22321..22365, 22366..22410, 22411..22455, 22456..22500, 22501..22545, 22546..22590, 22591..22635, 22636..22680, 22681..22725, 22726..22770, 22771..22815, 22816..22860, 22861..22905, 22906..22950, 22951..22995, 22996..23040, 23041..23085, 23086..23130, 23131..23175, 23176..23220, 23221..23265, 23266..23310, 23311..23355, 23356..23400, 23401..23445, 23446..23490, 23491..23535, 23536..23580, 23581..23625, 23626..23670, 23671..23715, 23716..23760, 23761..23805, 23806..23850, 23851..23895, 23896..23940, 23941..23985, 23986..24030, 24031..24075, 24076..24120, 24121..24165, 24166..24210, 24211..24255, 24256..24300, 24301..24345, 24346..24390, 24391..24435, 24436..24480, 24481..24525, 24526..24570, 24571..24615, 24616..24660, 24661..24705, 24706..24750, 24751..24795, 24796..24840, 24841..24885, 24886..24930, 24931..24975, 24976..25020, 25021..25065, 25066..25110, 25111..25155, 25156..25200, 25201..25245, 25246..25290, 25291..25335, 25336..25380, 25381..25425, 25426..25470, 25471..25515, 25516..25560, 25561..25605, 25606..25650, 25651..25695, 25696..25740, 25741..25785, 25786..25830, 25831..25875, 25876..25920, 25921..25965, 25966..26010, 26011..26055, 26056..26100, 26101..26145, 26146..26190, 26191..26235, 26236..26280, 26281..26325, 26326..26370, 26371..26415, 26416..26460, 26461..26505, 26506..26550, 26551..26595, 26596..26640, 26641..26685, 26686..26730, 26731..26775, 26776..26820, 26821..26865, 26866..26910, 26911..26955, 26956..27000, 27001..27045, 27046..27090, 27091..27135, 27136..27180, 27181..27225, 27226..27270, 27271..27315, 27316..27360, 27361..27405, 27406..27450, 27451..27495, 27496..27540, 27541..27585, 27586..27630, 27631..27675, 27676..27720, 27721..27765, 27766..27810, 27811..27855, 27856..27900, 27901..27945, 27946..27990, 27991..28035, 28036..28080, 28081..28125, 28126..28170, 28171..28215, 28216..28260, 28261..28305, 28306..28350, 28351..28395, 28396..28440, 28441..28485, 28486..28530, 28531..28575, 28576..28620, 28621..28665, 28666..28710, 28711..28755, 28756..28800, 28801..28845, 28846..28890, 28891..28935, 28936..28980, 28981..29025, 29026..29070, 29071..29115, 29116..29160, 29161..29205, 29206..29250, 29251..29295, 29296..29340, 29341..29385, 29386..29430, 29431..29475, 29476..29520, 29521..29565, 29566..29610, 29611..29655, 29656..29700, 29701..29745, 29746..29790, 29791..29835, 29836..29880, 29881..29925, 29926..29970, 29971..30015, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105