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

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Question 146369: Please help. I am lost.
Manufacturing shirts. If a manufacturer charges p dollars each for rugby shirts, then he expects to sell 2000 – 100p shirts per week. What polynomial represents the total revenue expected for a week? How many shirts will be sold if the manufacturer charges $20 each for the shirts? Find the total revenue when the shirts are sold for $20 each. Use the bar graph to determine the price that will give the maximum total revenue.

Click here to see answer by stanbon(57220) About Me 

Question 146403: If R(x) is a rational function, the R(x)<0 describes what?
a)The values of x that make R(x) positive in value
b)The values of R(x) that make x negative in value
c)The values of x that make R(x) negative in values
d)The negative values of x that make R(x) also negative

Click here to see answer by stanbon(57220) About Me 

Question 146402: What does the Linear Factorization Theorem assume about any polynomial of degree n?
a)That only linear functions can be factored
b)That the polynomial can be factored yielding n complex roots
c)That the polynomial cannot be factored unless one of the factors involves a complex solution
d)None of the above

Click here to see answer by stanbon(57220) About Me 

Question 146425: Find the value of d such that

u2-12u+d
is a perfect square

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

Question 146421: Can someone please help me with a couple of problems on polynomials finding the quotient and the remainder?
1) p(x)= 2x3-3x2+x-1
d(x) = x-3
2) P(x) = x3 - 9x2 + 15x + 25
d(x) = x-5
3) P(x) = x4 + 6x3
d(x) = x-1

Click here to see answer by Edwin McCravy(8880) About Me 

Question 146464: I need some help with some homework Please!!!!
The directions say: Solve the following polynomial equations using the zero factor property


3x^2 + 5x-2=0


2y^2-11y-40=0 thanks so much!!!!

Click here to see answer by Edwin McCravy(8880) About Me 

Question 146506: The present value P that will amount to A dollars in n years with interest compounded annually at annual interest rate r, is given by:
P = A (1 + r)^-12 power
Find the present value that will amount to $50,000 in 20 years at 8% compounded annually.

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

Question 146505: The present value P that will amount to A dollars in n years with interest compounded annually at annual interest rate r, is given by:
P = A (1 + r)^-12 power
Find the present value that will amount to $50,000 in 20 years at 8% compounded annually.

Click here to see answer by checkley77(12569) About Me 
Question 146505: The present value P that will amount to A dollars in n years with interest compounded annually at annual interest rate r, is given by:
P = A (1 + r)^-12 power
Find the present value that will amount to $50,000 in 20 years at 8% compounded annually.

Click here to see answer by edjones(7569) About Me 

Question 146478: directions say solve the following polynomial equations using the zero factor property 3x^2 + 5x-2=0
2y^2 -11y -40 = 0 Thanks for all your help

Click here to see answer by aswathytony(47) About Me 

Question 146470: Please help me with this problem Thanks
given the following polynomial P(x)= 5x^3 - 3x^2 + 2x + 7x^2
Determine P(3)
Classify the p(x) as monomial, binomial,trinomial, or neither of these


Click here to see answer by 24HoursTutor.com(40) About Me 

Question 146476: given the following polynomial:
p(x)= 5x^3-3x^2+2x+7x^2
determine p(3)
classify p(x) as monomial, binomial, trinomial or neither of these Thanks

Click here to see answer by aswathytony(47) About Me 

Question 146471: given the following polynomials, perform the indicated operations

p(x)=6x^3 - x^2 + 5x +2
q(x) = 2x^3 + 5x^2-7x-3


determine p(x) + q(x)

determine q(x) - p(x) Thanks!!!!!!

Click here to see answer by aswathytony(47) About Me 

Question 146424: Find the value of d such that

u2-12u+d

Click here to see answer by Alan3354(30959) About Me 

Question 144201: 1.Prove that the points A(6,-13),B(-2,2),C(13,10), and D (21,-5) are vertices of a Square (hint: take note of the characteristics of a square). also, find the length of a diagonal.
2.One end of a line segment is the point, (6,-2)and the midpoint is (-1,5). find the coordinates of the other end of the line segment.
3.Find the solution set of the inequality and write its interval notation. show the S.S. on the real number line
[ (2t+5) / (t+1) ] _> 1
4. Show that the 2 inequalities are equivalent
[ (4x+3)-11] < 1/2 and [x-2] < 1/8

Click here to see answer by Alan3354(30959) About Me 

Question 146617: Please help?
Starting at 8 A.M. determine the number of times in the next 24 hours for which the hour and minute hands on a clock coincide?

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

Question 146465: I need help with some math problems Please

factor the following polynomials


24x^3y -8xy^2

16x^2-24xy+9y^2

5r^3-5

(36x^2-49y^2) Thanks alot for your help!!!!!

Click here to see answer by vleith(2825) About Me 
Question 146465: I need help with some math problems Please

factor the following polynomials


24x^3y -8xy^2

16x^2-24xy+9y^2

5r^3-5

(36x^2-49y^2) Thanks alot for your help!!!!!

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146759: Cleaning Sidewalks. Edgar can blow the leaves off the sidewalks around the capitol building in 2 hours using a gasoline-powered blower. Ellen can do the same job in 8 hours using a broom. How long would it take them working together?
Click here to see answer by Alan3354(30959) About Me 

Question 146756: Fast Food. If four out of five doctors prefer fast food, then at a convention of 445 doctors, how many prefer fast food?

Click here to see answer by nerdybill(6948) About Me 

Question 146755: Rise and run. If the rise is 3/2 and the run is 5, then what is the ratio of the rise to the run?
Click here to see answer by nerdybill(6948) About Me 

Question 146758: Bear Population. 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 conservationists estimate of the size of the bear population?
Click here to see answer by checkley77(12569) About Me 

Question 146752: Barn Painting. Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete for 1 day by working together. Evaluate the expression for x = 5.
Click here to see answer by edjones(7569) About Me 

Question 146751: Work. 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 edjones(7569) About Me 

Question 146877: solve this rational equation
1/4+3/x=1/x

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146875: solve this rational equation
1/4+3/x=1/x

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146879: I need to factor out the greatest common factor 7x^6-14x^5+49x^4
would it be x^4(2x-7)^2?
Any help would be appreciated!

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146878: Solve rational equation:
x+3=-2/x

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146880: Solve rational equation:
x+3=-2/x

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146881: Solve equation.
b/4+1/b=-5/3

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146882: Solve rational equation
3/r+4-1/r=1/r

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146883: solve equation.
1/4m+2m/m-3=2

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146889: 35x^2 - 2x - 1
Click here to see answer by jim_thompson5910(28476) About Me 

Question 146888: Factor: 12y^3 + 16y^2 - 3y - 4
Click here to see answer by jim_thompson5910(28476) About Me 

Question 146887: I need help with this problem thanks:
The costs of doing business for a company can be found by adding fixed costs, such as rent, insurance, and wages, and variable costs, which are the costs to purchase the product you are selling. The portion of the company’s fixed costs allotted to this product is $300, and the supplier’s cost for a set of tile is $6 each. Let x represent the number of tile sets.
If b represents a fixed cost, what value would represent b? (I think this is 300?)
Find the cost equation for the tile. Write your answer in the form C = mx + b.

Click here to see answer by jim_thompson5910(28476) About Me 

Question 146886: Find Sum.
4%2F%283a-6%29%2Ba%2F%282%2Ba%29

Click here to see answer by Edwin McCravy(8880) About Me 

Question 146477: factor the following polynomials(directions)

24x^3y-8xy^2
(36x^2 - 49y^2)

(x^2 + 5x-24)
16x^2 - 24xy + 9y^2
5r^3 - 5

Click here to see answer by Alan3354(30959) About Me 

Question 146944: Rectangular stage. One side of a rectangular stage is 2 meters longer than the other. If the diagonal is 10 meters, then what are the lengths of the sides?
Click here to see answer by Alan3354(30959) About Me 

Question 146936: Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2 + 50x square centimeters. Find a binomial that represents the length.
Click here to see answer by ptaylor(2048) About Me 

Question 146941: Area of a sail. A triangular sail has an area of x^2 + 5x + 6 square meters and a height of x + 3 meters. Find the length of the sail’s base.
Click here to see answer by Fombitz(13828) About Me 

Question 146937: Area of a painting. A rectangular painting with a width of x centimeters has an area of x^2 + 50x square centimeters. Find a binomial that represents the length.
Click here to see answer by Fombitz(13828) About Me 

Question 147005: Burundi has a population of 7548000 in 2008, it has a growth rate of 3.9%, what is the approximate population in 2012? I cannnot find a formula to work this. Is there one specific for growth? thanks in advance for your help!!!
Click here to see answer by Fombitz(13828) About Me 

Question 147021: x-17x+23
Click here to see answer by checkley77(12569) About Me 

Question 146938: Amount of an investment. The amount of an investment of P dollars for t years at simple interest rate r is given by A = P + Prt.
a) Rewrite this formula by factoring out the greatest common factor on the right hand side.
b) Find A if $8300 is invested for 3 years at a simple interest rate of 15%.

Click here to see answer by Monarch(4) About Me 

Question 146942: Decreasing cube. Each of the three dimensions of a cube with a volume of y^3 cubic centimeters is decreased by a whole number of centimeters. If the new volume is
y^3 – 13y^2 + 54y – 72 cubic centimeters and the new width is y -6 centimeters, then what are the new length and height?

Click here to see answer by ankor@dixie-net.com(15624) About Me 

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