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

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

Question 40436: I need to solve 2m^2+9m+7 by factoring.
thanks for your help!
Click here to see answer by Nate(3500)

Question 40434: Divide
8x^3 - 6x^2 + 2x divided by 4x + 1
I get final answer of 1x + 1 but don't think this is correct.
Help please!
Click here to see answer by Nate(3500)

Question 40401: 8 hundred dollars is borrowed at an interest rate of 1.5% per month. Find the interest paid over the period os 5 months. --- is it $533.33??
thank u very much
Click here to see answer by Nate(3500)

Question 40397: factors for:
x^4-x^3-7x^2+x+6=0
Click here to see answer by Nate(3500)

Question 40439: Factor each polynomial completely
x^3y + 2x^2y^2 + xy^2
Is the common factor X^3 ? I am haveing a problem with figureing out the CF
Click here to see answer by stanbon(57949)

Question 40395: Divide
x^2 - 8x + 15
divided by
x + 3

Click here to see answer by Nate(3500)

Question 40435: Solve for X
X^2(2x-5)^2+x(5-2x)^3
Possible answers:
a. -13
b. -13/2
c. 13/2
d. 13
Click here to see answer by Fermat(127)

Question 40435: Solve for X
X^2(2x-5)^2+x(5-2x)^3
Possible answers:
a. -13
b. -13/2
c. 13/2
d. 13
Click here to see answer by Nate(3500)

Question 40379: Write the following expression using positive exponents and simplify when possible.
–x^-4
Click here to see answer by Nate(3500)

Question 40388: Multiply
7w(2w-3w)(2w+3)
(14w-21w)(2w+3)
-4w times 2w + 3
-8w + 3
Can someone tell me if this is correct
Click here to see answer by Nate(3500)

Question 40355: DIRECT VARIATION
the number of kg of water (W) in a human body varies directly as the total body weight(B). A person who weighs 72kg contains 54kg of water. How many kilograms of water are in a person weighing 180kg?
A person weighing 180kg has about ____kg of water in their body.
--is it 135???
thank you for your time

Click here to see answer by Nate(3500)

Question 40408: Kareem purchased a leather jacket for $800 with his new credit card. He budgeted $50 a month to pay toward the debt. When he read the fine print on the credit card statement, he saw that for each month he owed a balance, a finance charge of $17.50 would be added. How many months will it take Kareem to pay off the leather jacket?
Thanks
--------------------------------------------------------------------------------
One machine in a print shop can produce a certain # of pages twice as fast as another machine. Operating together these machines can produce this number of pages in 8 minutes. How long would it take the slower machine working alone to produce this number of pages?
______minutes.
Thanks

Click here to see answer by stanbon(57949)

Question 40339: 30/10+y = 20/10-y
Click here to see answer by smik(40)

Question 40363: The hypotenuse of a right triangle is 6m long. One leg is 1m longer than the other find the length of the shorter leg.
Thank you
Click here to see answer by Nate(3500)

Question 40381: Write the following expression using positive exponents and simplify when possible.
5x^-1

Click here to see answer by junior403(76)

Question 40452: I would like to know how to simplify this problem
2 9
_____ + ____
x + 4 5x + 20

the 2 is over the x + 4, and the 9 is over the 5x + 20
Click here to see answer by Nate(3500)

Question 40385: Simply.
x^4 * x^-6
Click here to see answer by junior403(76)

Question 40385: Simply.
x^4 * x^-6
Click here to see answer by Nate(3500)

Question 40382: Simplify.
(x^-2)^-3 / x^-4
Click here to see answer by Nate(3500)

Question 40334: . Solve quadratic equation by quadratic formula.

Solve: x2 + 3x + 1 = 0
a = 1, b = 3, c = 1

Click here to see answer by junior403(76)

Question 40362: 3 + ___4____
5x - 2
Click here to see answer by Nate(3500)

Question 37515: _/245 integers is? 4&5 or 17&18 15 &16 49&50
Click here to see answer by Nate(3500)

Question 40461: x+6/x+3 - 2 = 3/x+3
Click here to see answer by Nate(3500)

Question 40376: Evaluate.
7x^0
Click here to see answer by tran3209(100)

Question 40404: The Nutty Shoppe has 10 kg of mixed pecans and cashews, which sell for $ 8 per kilogram. Cashews alone sell for $8 per kilogram, and pecans sell for $9 per kilogram. How many kilograms of pecans are there in the mix?
How many kilograms of cashews are there in the mix?
Thanks
Click here to see answer by stanbon(57949)

Question 40458: _4a___
2a^3+2
_________
___8a____
4a+4
Simplify the complex fraction.
Click here to see answer by Nate(3500)

Question 40459: 1-9/x^2
________
1- 1/x - 6/x^2
Simplify the complex fraction
Click here to see answer by Nate(3500)

Question 40463: 36a^2b^3-45ab^4
Click here to see answer by Nate(3500)

Question 39647: (x/3 + 3/4)(3x/4 -3/5)
Click here to see answer by tran3209(100)

Question 40494: x^3 + 2x^2 + 3x - 6 divided by x-1
Click here to see answer by Nate(3500)

Question 40335: . Solve quadratic equation by completing the square.
4x2 + 8x + 1 = 0

Click here to see answer by Nate(3500)

Question 40460: x+1/3 + x-3/4 = 1/6
solve each equation
Click here to see answer by checkley71(8403)

Question 40410: A tank can be filled in 18 hours by Pipe A or 24 hours by Pipe B. How long would it take both pipes to fill the tank?
_____hours
--------------------------------------------------------------------------------
It takes Sarah 8 hours to fill a Widget. Jerry can do the same job in 12 hours. How long would it take them to assemble a Widget if they worked together?
_______hours.
Thanks
Click here to see answer by Nate(3500)

Question 40534: Simplify
2sqrt12 + 4sqrt27.
I am coming up with an answer of 5sqrt3 - is this correct?
I have the 2sqrt12 broken down to 2sqrt3 and 4sqrt27 broken down to3sqrt3. That is where I got my answer from, by adding those.
Click here to see answer by stanbon(57949)

Question 40356: Company X can install chairs in a theater in 10 hours. Company Y can install them in 15 hours. How long would it take the two companies, working together to install the chairs.
______hours.
Thanks
-------------------------------------------------------------------------------
A tank can be filled in 18 hours by Pipe A or 24 hours by Pipe B. How long would it take both pipes to fill the tank?
_____hours
Click here to see answer by checkley71(8403)

Question 40209: Kareem purchased a leather jacket for $800 with his new credit card. He budgeted $50 a month to pay toward the debt. When he read the fine print on the credit card statement, he saw that for each month he owed a balance, a finance charge of $17.50 would be added. How many months will it take Karem to pay off the leather jacket?
Thanx
Click here to see answer by checkley71(8403)

Question 40567: Write in scientific notation.
865,000
Click here to see answer by stanbon(57949)

Question 40532: The US population in 1990 was approx. 250 million, and the average growth rate for the past 30 years gives a doubling time of 66 years. The formula for this is

P (in millions) = 250 x 2^[(y-1990)/66]
What will the population of the US be in 2025 if this growth continues.
Click here to see answer by stanbon(57949)

Question 40571: Simplify.
a^5 * a^ 3 = a^8
Cheers,
Stan H.
Click here to see answer by stanbon(57949)

Question 40570: Write in Standard notation.
3.28 * 10^-6
Click here to see answer by stanbon(57949)

Question 40568: Write in Standard notation.
2.5 * 10^5
Click here to see answer by longjonsilver(2297)

Question 40573: A viedo game has three villans which appear on screen at different intervals. One villan appears every 3 seconds, a second villan appears every 5 seconds, and a third villan appears every 12 seconds. When will all three villans appear at the same time? List all the possibilites ihn an organized way.
A)in 120 seconds B)in 150 seconds C)in 60 seconds D)in 30 seconds
Click here to see answer by longjonsilver(2297)

Question 40564: Write in scientific notation.
75,000,000
Click here to see answer by longjonsilver(2297)

Question 40582: Joe and Mary working together can rake a lawn in 2 hours. Joe can do the job alone in 3 hours. How long would it take Mary to rake the lawn alone?
Click here to see answer by stanbon(57949)

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