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

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Question 150623: Suppose that a market place research company finds that at a price of p =$20, they would sell x=42 tiles each month. If the lower the price to p= $10,then more people would purchase the tile and they can expect to sell x= 52 tiles in a month's time. Find the equation of the line for the demand equation . Write your answer in the form p=mx+b.
Click here to see answer by Earlsdon(6294) About Me 

Question 150603: An astronaut on the moon tosses a ball upwards; by how much will the height of the ball exeed 100 feet if the ball's height follows:
h(t)= -2.6t(second power) +32.1t+5.5

Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 150669:
Would you say a parabola would be considered a Symmetrical, second order, quadratic polynomial? I have a question asking :Parabolas are what kind of Polynomial?
() Symmetrical
()Second order
() Quadratic
() All of the above
I see all being a part of a parabola but only Quadratic is a polynomial, the second order part seems to fall under the quadratic and symmetrical seems to be just an axis that says there are two sides that mirror each other.
What is your take?
Shelly

Click here to see answer by stanbon(57979) About Me 

Question 150610: Translate to an inequality
the clearance of the bridge is less than 12 feet

Click here to see answer by checkley77(12569) About Me 

Question 150701: what is 2y to the third minus 7y squared minus 15y factored?
Click here to see answer by Earlsdon(6294) About Me 
Question 150701: what is 2y to the third minus 7y squared minus 15y factored?
Click here to see answer by jim_thompson5910(28717) About Me 

Question 150582: find the quotient and reduce to lowest terms: 36x/25y + 10x/3=?
Click here to see answer by edjones(7569) About Me 

Question 150718: I need to form each of the following:
A quadratic equation
A polynomial of three terms
I have to plot the graph of the above equations.

Click here to see answer by vleith(2825) About Me 

Question 150769: add algebraic fractions:
a-1/a+1 + a+1/a-1
I used the LCM of (a+1)(a-1)
(a-1)(a-1)/(a+1)(a-1) + (a+1)(a+1)/(a+1)(a-1)
a^2-2a+1+a^2+2a+1/(a+1)(a-1)
2a^2+2/(a+1)(a-1)
2(a^2+1)/(a+1)(a-1)
ok now I'm stuck, can I do anymore?
Is what I've done right so far?
Thank You for your time.

Click here to see answer by stanbon(57979) About Me 

Question 150786: add:
b/b-1 + 2b/b^2-1

Click here to see answer by Fombitz(13828) About Me 

Question 150828: Factor
x^4 - 625

Click here to see answer by mangopeeler07(462) About Me 
Question 150828: Factor
x^4 - 625

Click here to see answer by jojo14344(1512) About Me 

Question 150827: Factor
5x^2 + 4x - 1

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Question 150826: x^2 + 4x + 3
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Question 150825: x^2 – 6x + 4x - 24
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Question 150818: A ladder is leaning against a wall. The distance from the bottom of the ladder to the wall is 3 feet less than the length of the ladder. Find the length of the ladder, if the distance of its top to the ground is 4 feet less than the length of the ladder.
Click here to see answer by nerdybill(7009) About Me 

Question 150815: If the length of a rectangular field is 8 feet more than double of its width. Find the dimensions of the field if its area is 540 square feet?

Click here to see answer by nerdybill(7009) About Me 

Question 150892: x^4-4x^2+7x+15/x+4
Click here to see answer by jim_thompson5910(28717) About Me 

Question 150890: 2/x+1 + 6 = 3/x-1
Click here to see answer by jim_thompson5910(28717) About Me 

Question 150911: x3y6-64
Click here to see answer by jim_thompson5910(28717) About Me 

Question 150817: A plane can travel 400 miles against the wind in the same time that it can travel 500 miles with the wind. If the speed of wind was 10 miles per hour. Find the speed of the plane in still air.
Click here to see answer by josmiceli(9817) About Me 

Question 150816: An open-top box will be made from a square piece of cardboard of length 26-inch by cutting 2-inch squares from the corners and folding up the sides. Find the volume of the box.
Click here to see answer by ankor@dixie-net.com(15746) About Me 

Question 150977: Simplify the following
2x^4 ۪ 5x^2
10x^7 3x^5

Click here to see answer by jim_thompson5910(28717) About Me 

Question 150981: x^2 – 2x + 1
x - 1

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Question 150980: Simplify
x^4 – 3x
3x - x^4

Click here to see answer by jim_thompson5910(28717) About Me 

Question 150973: Find the following

3 x
____ + _______
x + 2 x^2 - 4

Click here to see answer by jim_thompson5910(28717) About Me 

Question 151007: [(4x)/(x+10)]-1 =0
Click here to see answer by mducky2(62) About Me 

Question 151043: The time t required to empty a tank varies inversely as the rate r of the pumping. If a pump can empty a tank in 45 mintutes at a rate of 600kl/min, how long will it take a pump to empty the same tank if its rate is 1000 kl/min?
Click here to see answer by checkley77(12569) About Me 

Question 151041: The formula b(t) = 1.353(1.9025)^t represents the number of broadband internet users (in millions) where t is the time in years measured from 1998. How many broadband users (to the nearest million) does this formula predict for 2004?
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Question 151042: use descartes rule of signs to determine the possible number of positive and negative zeros for the function P(x)= -3x^5 - 7x^3 - 4x-5
Click here to see answer by Fombitz(13828) About Me 

Question 151070: A worker can cover a parking lot with asphalt in ten hours. With the help of an assistant, they can do the job in six hours. How long would it take the assistant working alone to cover the parking lot with asphalt?
Click here to see answer by stanbon(57979) About Me 

Question 151081: x/7 - x/9 = 4
Click here to see answer by jim_thompson5910(28717) About Me 

Question 151083: y^2/y-7 x y^2-5y-14/y^2+4y
Click here to see answer by jim_thompson5910(28717) About Me 

Question 151107: x^2-5x+6
Click here to see answer by jim_thompson5910(28717) About Me 

Question 151143: 5 3
____ + ______ =⅔
x – 1 7X – 7

Click here to see answer by checkley77(12569) About Me 

Question 151230: Find the difference
4x...........................6x
___________...-..________
7x^2+19x-36......5x^2+19x-4
Thank you for your help.

Click here to see answer by scott8148(6628) About Me 

Question 151283: 8/x+3 + 9/x-3
Click here to see answer by jim_thompson5910(28717) About Me 

Question 151292: solve for A in B= 4/7(A-11).
Click here to see answer by jim_thompson5910(28717) About Me 

Question 151293: 8/x+3 + 9/x-3
Click here to see answer by jim_thompson5910(28717) About Me 

Question 151294: 3x^2 + 8x - 3 = 0
Click here to see answer by jim_thompson5910(28717) About Me 

Question 151296: u^3/w ÷ uv^3/w^2
Click here to see answer by jim_thompson5910(28717) About Me 

Question 151282: u^3v/w divided by uv^3/w^2
Click here to see answer by jojo14344(1512) About Me 

Question 151306: simplify:
(-2t^2u^6v^5)^4

Click here to see answer by vleith(2825) About Me 

Question 151304: find the area of a rectangle which shows the answer as a polynomial in descending powers of x. length: 3x+9, width: x-1
Click here to see answer by vleith(2825) About Me 

Question 151305: simplify:
(-5r^2t^5u^6)^3

Click here to see answer by jim_thompson5910(28717) About Me 

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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, 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, 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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, 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