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

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Question 478091: A person drives 390 miles on a stretch of road. Half the distance is driven traveling 5 miles per hour below the speed limit, and half the distance is driven traveling 5 miles per hour above the speed limit. If the time spent traveling at the slower speed exceeds the time spent traveling at the faster speed by 24 minutes, find the speed limit.
Click here to see answer by mananth(12270)

Question 478230: Hi Everyone, I'm not sure if I posted this question in the Correct category but I am stuck on this word problem. If someone wouldn't mind helping me find the equation, it would be really appreciated! Thank you.

A "bullet" train set a new world record for train speed at 551 kilometers per hour during a manned test run on the Test Line in April 1999. The Test Line is 42.6 kilometers long. How many minutes would a test run on the Test Line last at this record-setting speed?
A test run would last #? minutes
(Do not round until the final answer. Then round to the nearest hundredth as needed.)

Click here to see answer by ankor@dixie-net.com(15623)

Question 478312: log x-1=-3
9
Click here to see answer by Alan3354(30955)

Question 478347: Combine like terms; write the answer in descending order.
1/6x^3 + 3x^2 - 1/3x^3 + 7 + x^2 - 10 =
Click here to see answer by stanbon(57214)

Question 478414: 2x-3(x+4)=-5 if x=-7
Click here to see answer by Maths68(1474)

Question 478640: I am working on an equation that I am to answer in standard form. Ok I understand that. When I went to check my answer on an online problem solver the answer differs from what I got and I do not see why.
(6a^3+2a^2-7)+(2a^3-a+7)
here is what i did:
6a^3 + 2a^3 = 8a^3
2a^2 + (-a) = a
(-7) + 7 = 0
so my answer is 8a^3 +a
from problem solvers the answer is : 8a^3 +2a^2-a
which is correct?
Click here to see answer by ankor@dixie-net.com(15623)

Question 478679: please help me solve this problem. I must factor the polynomial
16x^2-2x
Click here to see answer by mananth(12270)

Question 478688: please help me solve this problem. I have to factor it.
8x^3+125
Click here to see answer by jim_thompson5910(28476)

Question 478720: find all numbers for which the rational expression is undefined - 8/15x
Click here to see answer by Tatiana_Stebko(1326)

Question 478774: What is the degree of the given polynomial?
3x^9 + 4x^7 + 6x - 9
Click here to see answer by Tatiana_Stebko(1326)

Question 478810: Subtract:(6x+1 )-(-7x+2)
Click here to see answer by mananth(12270)

Question 478807: Collect like terms : 2x^2-6x+3x+4x^2
Click here to see answer by nerdybill(6948)

Question 478808: Add: (x^3+x^2)+(2x^3-5x^2)
Click here to see answer by mananth(12270)

Question 478817: I can not figure out how to get rid of my denominator...do i multiply by the reciprocal or square root or something else...I am struggling to even begin. I sub in (1) for all X-values correct?
Find the value of the function:
f(1) when f(x)=(x^2-5)/ (x+3)
Please show how this is done.
Thanks!

Click here to see answer by Alan3354(30955)

Question 478831: Hello. My question is determine whether x-1 or x+1 is a factor of . I know this includes polynomial division, and I assume it has to do something about how x^100 is raised to an even root. Thanks in advance
Click here to see answer by ewatrrr(10682)

Question 478845: solving quadratics 3x2+9x=12
Click here to see answer by nerdybill(6948)

Question 478838: simplify by removing factors of 1 6r^11/18r^12
Click here to see answer by Alan3354(30955)

Question 478818: Multiply:(2x^3-0.3)(2x^3+0.3)
Click here to see answer by Maths68(1474)

Question 478860: We are given a polynomial equation and one or more of its roots. Find the remaining roots. Roots are x=-4 and x=1
Click here to see answer by ewatrrr(10682)

Question 478857: Hello. My question is When a polynomial P(x) is divided by 2x+1, the quotient is and the remainder is 3. Find P(x). Thanks in advance.
Click here to see answer by Edwin McCravy(8879)

Question 478916: A gardener wants to create a rectangular garden with length of 9x - 5y ft. and width of x - 6y ft. What is an algebraic expression for the area of the garden?
Click here to see answer by cleomenius(959)

Question 478912: Is 4x^2 – 16 the difference of two squares? Is so, how does it factor?
Click here to see answer by Earlsdon(6287)

Question 478912: Is 4x^2 – 16 the difference of two squares? Is so, how does it factor?
Click here to see answer by cleomenius(959)

Question 479002: Simplify the expression:
(6^9)^7=
Click here to see answer by MathLover1(6611)

Question 478998: Multiply:
(2x^5+4)(2x^5-4)
Click here to see answer by emargo19(101)

Question 478884: add and simplify 7/x + 1/x^2

Click here to see answer by MathLover1(6611)

Question 479000: Solve:
16s^-9=0
Click here to see answer by algebrahouse.com(1079)

Question 479020: Find the sign of the following expression: -(c-b)^3(a-c)^2
Click here to see answer by stanbon(57214)

Question 479025: Let a, b, c be real numbers with properties a>0, b>0, and c<0. Discuss how to find the sign for the following expression: (a^2c^3/b^-3 c^4)^-2
Click here to see answer by stanbon(57214)

Question 479056: I need help on how to do this problem.... If x= 6 and y= 4, then xy-3x=? plzz help mii step by step
Click here to see answer by Alan3354(30955)

Question 479056: I need help on how to do this problem.... If x= 6 and y= 4, then xy-3x=? plzz help mii step by step
Click here to see answer by oberobic(2304)

Question 479094: After solving the polynomial (2x^2+11xy-15)+(6x^2-6x+2)-(-x^2-y-5), I came up with the answer as 9x^2+11xy-6x-y-8. But I don't know how to correctly order the variables inside the answer. I am pretty such that the highest power of x would go first, but how do you know if the xy or just the x would go first?
Click here to see answer by mananth(12270)

Question 479095: add.
(x^7-3)+(x^7+3)
Click here to see answer by mananth(12270)

Question 479269: (-3/8a^3b)(-24ab^4)
Click here to see answer by MathLover1(6611)

Question 479258: (-3/8a^3b)(-24ab^4)
Click here to see answer by MathLover1(6611)

Question 479303: Could you please help me with this problem? I am very confused about ratios.
Three numbers are in ration of 2:5:3. The sum of the numbers is 120. Find the three numbers.

Click here to see answer by Tatiana_Stebko(1326)

Question 479308:
I have to factor that out and I'm not sure how to do it
Click here to see answer by Alan3354(30955)

Question 479308:
I have to factor that out and I'm not sure how to do it
Click here to see answer by stanbon(57214)

Question 479310: given that , I need to complete the factorization of by using the difference of squares
Thanks!
Click here to see answer by stanbon(57214)

Question 479310: given that , I need to complete the factorization of by using the difference of squares
Thanks!
Click here to see answer by Alan3354(30955)

Question 479314:
Click here to see answer by Alan3354(30955)

Question 479314:
Click here to see answer by stanbon(57214)

Question 479317:
Click here to see answer by Alan3354(30955)

Question 479360: The reciprocal of a number plus the reciprocal of twice the number equals 3/10
Find the number.
please
Click here to see answer by edjones(7569)

Question 479467: find the LCM- 14b^6a^5,2b^5a^6, 35b^5a^5
I got as far as 7 goes into 14 and 35, which I got 2b^6a^5, and 5b^5a^5, not sure where to go from here
Click here to see answer by stanbon(57214)

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, 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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, 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