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

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Question 77394: End behavior of of each graph of the polynomial..
-6d^3 -4d^2 +2d -1
I got.. a<0 n odd.. because the function d has odd degree and a negative dominating term.
is that correct?
Click here to see answer by stanbon(57967)

Question 77386: Solve each equation.
a+4/2 = a+4/a
and
4w-1/3w+6 - w-1/3 = w-1/w+2
Click here to see answer by katz(9)

Question 77390: To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist's estimate of the size of the bear population?
Click here to see answer by stanbon(57967)

Question 77380: Perform the indicated operation. Reduce answer to lowest term.
3/2y - 3/2y+4
Click here to see answer by katz(9)

Question 77371: Reduce each expression to lowest terms.
4x^2/2x^9
and
-2x-8/x^2+2x-8
Click here to see answer by katz(9)

Question 77388: Find a ratio for the following, and write it as a ratio of integers in lowest terms.
Among 100 coffee drinkers, 36 said that they preferred their coffee black and the rest did not prefer their coffee black. Find the ratio of those who prefer black coffee to those who prefer nonblack coffee.
Click here to see answer by stanbon(57967)

Question 77258: Please help! thanks!
y^2-36/y^2-4 X y^2+6y+8/y^2-2y-24
Click here to see answer by katz(9)

Question 77376: Solve the problem. Answer could be rational expression.
Henry sold 120 magazine subscriptions in x+2 days. If he sold at the same rate for another week, then how many magazines did he sell in the extra week?
Click here to see answer by stanbon(57967)

Question 77364: what values for x must be excluded in the following fraction?
x-2/7
Click here to see answer by stanbon(57967)

Question 77166: Please show me how to solve. thanks!
(7)/(r-3) + (5)/(r-2) - (10r)/(r^2-5r+6)
Click here to see answer by katz(9)

Question 77413: Please help.
Factor the following polynomial completely.
-3s^2 – 10s + 8

Click here to see answer by jim_thompson5910(28715)

Question 77412: Please help.
Factor the following binomial.

25x^2 – 81y^2

Click here to see answer by jim_thompson5910(28715)

Question 77416: Factor the following polynomial completely.
14x^2 – 20x + 6

Click here to see answer by jim_thompson5910(28715)

Question 77420: Factor the following trinomial completely.
x^2 – 11x - 60

Click here to see answer by jim_thompson5910(28715)

Question 77423: Find the greatest common factor for each of the following sets of terms.
12a^3b^2, 18a^2b^3, 6a^4b^4

Click here to see answer by jim_thompson5910(28715)

Question 77422:
Factor each of the following polynomials.
4s + 6st – 14st²

Click here to see answer by Edwin McCravy(8999)

Question 77421: Find the GCF of each product.
(6y^2 – 3y)(y + 7)

Click here to see answer by stanbon(57967)

Question 77418: Factor the following trinomial completely.
2a^3 – 52a^2b + 96ab^2

Click here to see answer by stanbon(57967)

Question 77384: At a well-known university, 1/4 of the undergraduate students commute, and 1/3 of the graduate students commute. One-tenth of the undergraduate students drive more than 40 miles daily, and 1/6 of the graduate students drive more than 40 miles daily. If there are twice as many undergraduate students as there are graduate students, then what fraction of the commuters drive more than 40 miles daily?
Click here to see answer by ankor@dixie-net.com(15746)

Question 77417: How do I do this?
Find all positive values for k for which each of the following can be factored.
x^2 + x – k

Click here to see answer by stanbon(57967)

Question 77448: 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 ptaylor(2052)

Question 77385: Solve each equation.
a+4/2 = a+4/a
and
4w-1/3w+6 - w-1/3 = w-1/w+2
Click here to see answer by ankor@dixie-net.com(15746)

Question 77481: can someone help me solve this one please?
3/x-1=6/x+2
Click here to see answer by checkley75(3666)

Question 77460: The formula A = 6V^2/3 gives the surface area of a cube in terms of its volume V. What is the volume of a cube with surface area 12 square feet?
Click here to see answer by checkley75(3666)

Question 77458: Solve the equation.
3 + √x^2 - 8x = 0
Click here to see answer by checkley75(3666)

Question 77456: Find the exact area of a triangle with a base of √30 meters and a height of √6 meters.
Click here to see answer by checkley75(3666)

Question 77450: Find the root. All variables represent nonnegative real numbers.
√m^6
Use the product and quotient rules to simplify. All variables represent positive real numbers.
√27/16
Click here to see answer by checkley75(3666)

Question 77504: For this problem I am asked to factor the polynomial. x^27+125=
Click here to see answer by Earlsdon(6294)

Question 77511: -2x^6
- - - 4x
7 - -
5

Click here to see answer by jim_thompson5910(28715)

Question 77453: The radius of a sphere is given by the formula:
r - (0.75V/π)^1/3, where V is its volume. Find the radius of a spherical tank that has a volume of 32π/3 cubic meters.
Click here to see answer by 303795(595)

Question 77522: Please show me how to SOLVE my homework question. thanks.
Y^2-36/y^2-4 multiplied by y^2+6y+8/y^2-2y-24

the choices are:
A.) y+6/y-2 B.) y-6/y+2 c.) y+2/y+6 D.) y-2/y-6
Click here to see answer by 303795(595)

Question 77520: Please show me how to solve my homework question. thanks.
Y^2-36/y^2-4 multiplied by y^2+6y+8/y^2-2y-24
the choices are
A.) y+6/y-2 B.) y-6/y+2 c.) y+2/y+6 D.) y-2/y-6
Click here to see answer by 303795(595)

Question 77551: Please help me solve my homework question. thanks!
2/5Z - 3/25z^2
Click here to see answer by stanbon(57967)

Question 77548: How do I reach the answer to ? There are many examples similar to this equation in the book, but I don't understand whether they are dividing or subtracting at times. Thank you in advance.
Click here to see answer by stanbon(57967)

Question 77571: can you please show me how to solve 2y to the second=25y+13
can you please show me how to solve 10u to the third-5u to the second=0

Click here to see answer by checkley75(3666)

Question 77541: Directions:
Add, first finding the LCD. Simplify if possible.
2/15 + 5/9 + 3/20 (These are fractions but couldn't copy problem from Mathtype)
I have found the LCD of 180 but get lost after that.
Click here to see answer by checkley75(3666)

Question 77561: haveing trouble divideing polynomicals.
3y^3+y^2/y+1
Click here to see answer by jim_thompson5910(28715)

Question 77626: The square of a positive number is four more than three times the positive number. Find the number.
Click here to see answer by stanbon(57967)

Question 77626: The square of a positive number is four more than three times the positive number. Find the number.
Click here to see answer by checkley75(3666)

Question 77625: Factor -
64x2-16xy+y2

Click here to see answer by stanbon(57967)

Question 77625: Factor -
64x2-16xy+y2

Click here to see answer by checkley75(3666)

Question 77619: Examine if the following eqns have any solution or not.
1) |x| = x+5
2) |x| = x -5

Click here to see answer by stanbon(57967)

Question 77628: Factor:
15x2 + 14x - 8
Click here to see answer by checkley75(3666)

Question 77643: multiply -
(2x-1)(2x+1)
Click here to see answer by jim_thompson5910(28715)

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