Tutors Answer Your Questions about Polynomials-and-rational-expressions (FREE)
Question 359696: There are n teams in a league and the number of games played is given by the polynomial n^2-n=N.
A women's softball league has 13 teams. What is the total number of games to be played?
The total number of games to be played is ?
Click here to see answer by solver91311(24713)   |
Question 360103: The Cobb family decided to go roller skating for their reunion. There were a total of 44 people there and all went roller skating. If an adult admission was $5.00 and a child's admission was $3.00 and they paid a total of $168.00, how many children were at the reunion? thank you
Click here to see answer by mananth(16946)  |
Question 360124: Hello,
I'm doing my homework right now on Polynomial functions, and I'm stuck on one problem that we didn't cover in class. So if you could help me out, that would be excellent. Thanks in advance!
Find the x-intercepts of the polynomial f(x)=x^3+2x^2-8x
A)4, -2
B)0, 2, and -4
C)-2, 0, and 4
D)-4 and 2
Click here to see answer by ewatrrr(24785)  |
Question 360202: I am having trouble with my MAT 117 Appendix C. This is what I have so far. Could someone let me know if I am correct.
1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or market research).
a. Suppose that a market research company finds that at a price of p = $40, they would sell x = 22 tiles each month. If they lower the price to p = $20, then more people would purchase the tile, and they can expect to sell x = 32 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. (Hint: Write an equation using two points in the form (x,p)).
Slope=rise/run
=(22,40),(32,20)
=m=y2-y1
x2-x1
=m=20-40 = -20 =-2
32-22 10
P-p1=m(x-x1)
P-40=-2(x-22)
P-40=-2x+22
P=-2x+62
A company’s revenue is the amount of money that comes in from sales, before business costs are subtracted. For a single product, you can find the revenue by multiplying the quantity of the product sold, x, by the demand equation, p.
b. Substitute the result you found from part a into the equation R = xp to find the revenue equation. Provide your answer in simplified form.
R=-x(2x+62)
R=-2x2 +62x
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 $200, and the supplier’s cost for a set of tile is $34 each. Let x represent the number of tile sets.
c. If b represents a fixed cost, what value would represent b?
The fixed costs are $200.
d. Find the cost equation for the tile. Write your answer in the form C = mx + b.
C=34x+200
The profit made from the sale of tiles is found by subtracting the costs from the revenue.
e. Find the Profit Equation by substituting your equations for R and C in the equation . Simplify the equation.
P=-2x2+62x-(34x+200)
P=-2x2+62x-34x-200
P=-2x2 +28x-200
f. What is the profit made from selling 10 tile sets per month?
P=-2x2 +28x-200
P=-2(10)2 +28(10)-200
P=480
g. What is the profit made from selling 12 tile sets each month?
P=-2x2+28x-200
P=-2(12)2 +28(12)-200
P=712
h. What is the profit made from selling no tile sets each month? Interpret your answer.
Plug in 0;
P=x2+28x-200
P=02+28(0)-200
P=-200
These are the fixed costs that have to be paid regardless of sales.
i. Use trial and error to find the quantity of tile sets per month that yields the highest profit.
P=-2x2 +28x-200
P=-2(12)2+28(12)-200
P=712
They should sell 12 to make the most profit.
j. How much profit would you earn from the number you found in part i?
The profit is $712 when they sell 12.
k. What price would you sell the tile sets at to realize this profit (hint, use the demand equation from part a)?
Remember the demand function:
P=-2x+62
P=--2(12)+62
P=$38
2. The break even values for a profit model are the values for which you earn $0 in profit. Use the equation you created in question one to solve P = 0, and find your break even values.
P=-2x2+28x-200
0=-2x2+28x-200
0=-2(0)2 +28(0)-200
P=-200
3. In 2004, Home Depot’s sales amounted to $73,100,000,000. In 2006, its sales were $90,800,000,000.
a. Write Home Depot’s 2004 sales and 2006 sales in scientific notation.
You can find the percent of growth in Home Depot’s sales from 2004 to 2006, follow these steps:
• Find the increase in sales from 2004 to 2006.
• Find what percent that increase is of the 2004 sales.
b. What was the percent growth in Home Depot’s sales from 2004 to 2006? Do all your work by using scientific notation.
(source: Home Depot Annual Report for FY 2006: http://www6.homedepot.com/annualreport/index.html)
4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 18 feet across and 6 feet tall (see figure). How long should the pieces of PVC plumbing pipe be? Round your answer to the nearest hundredth.
Click here to see answer by solver91311(24713) |
Question 360365: I am having trouble with my MAT 117 Appendix C. This is what I have so far. Could you help me out please?
4. A customer wants to make a teepee in his backyard for his children. He plans to use lengths of PVC plumbing pipe for the supports on the teepee, and he wants the teepee to be 18 feet across and 6 feet tall (see figure). How long should the pieces of PVC plumbing pipe be? Round your answer to the nearest hundredth.
This is waht I have so far.
a^2+b^2=c^2
(18/2)^2+6^2=c^2
9^2+6^2=c^2
81+36=c^2
117=c^2
Click here to see answer by checkley77(12844) |
Question 360564: An open box is to be made from a square piece of material 36cm on a side by cutting equal squares from the corners and turning up the sides. See the following table:
Height Width Volume
1 36- 2(1) 1[36-2(1)]^2 =1156
2 36- 2(2) 2[36-2(2)]^2 =2048
1. Verify that the volume of the box is given by V = x(36-2x)^2. Determine the domain of the function.
2. Use a graphing calculator to graph V, and use the range of dimensions from the table to find the x- value for which V(x) is maximum.
Click here to see answer by stanbon(75887) |
Question 361944: I just turned 16, and I've been on a homeschooling program for about a year and a half now. I do really well with all of the work except one class! I have always struggled with math, algebra in specific. As of right now I'm a senior and I will graduate in June if I stay on track. Which will be super early for me! My only issue is my algebra class, it's holding me back and may keep me from graduating! =[
Please help me!
As of right now I'm factoring polynomials which hardly makes sense to me!
1. 8x+12y-2x^-3xy
2.9x^-16
3.14x^-7x to the third? Idk how to type powers so I'm using ^ as to the second, and anything else I'm just going to type out...
4. x^-6x-5
5. 4x^-12xy+9y^
Please help me!
Click here to see answer by mananth(16946) |
Question 361963: Another few I need a quick hand with to get it done. It's due tomro and I'm pressured for time but I need to finish and pass my test! Please continue helping me! It's greatly appreciateddd!
These are still factoring polynomials
1. 4k^ - 25
2. -16^ - 48x - 36
These ones say to solve each equation. I think these might be easier but I'd like to see your work to show me and make sure I'm doing it right. Thank youuu!
3. (y + 9)(2y - 3) = 0
4. m^ + 2m - 15 = 0
5. 8r^ = 24r
6. b2 - 49 = 0
7.(3c + 16) = 0
8. z to the fourth + 8z to the third - 9z^ = 0
9. (y-7)(2y^ + 7y - 15) = 0
Click here to see answer by edjones(8007)  |
Question 361955: I'm still trying to finish this packet I have... So here's another few questions I'm having a hard time with.
I really appreciate the help, and I reallyyy need it!
1. r to the third + r^ - 6r
2. x^ - 14x + 49
x^ + 1 over 2x + 1 over 16
(as fractions)
3. 81m to the fourth - 16
4. 4- 2q - 6p + 3pq
5. 3n to the third + 12n^ - 36n
6. r^ + r + 3
7. 16x^ - 14x + 3
8. 7b^ - 42b + 56
9. y^ + 4y - 45
10. 8a^ + 23a - 3
Thank you againnn! I just really need to get this class out of my way. It's holding me back from continuing other work and classes that I don't even struggle with. I'm sure you can imagaine my frustration with this! But thank you for the help...
Click here to see answer by edjones(8007) |
Question 362021: I'm still trying to finish this packet I have... So here's another few questions I'm having a hard time with.
I really appreciate the help, and I reallyyy need it!
1. r to the third + r^ - 6r
2. x^ - 14x + 49
x^ + 1 over 2x + 1 over 16
(as fractions)
3. 81m to the fourth - 16
4. 4- 2q - 6p + 3pq
5. 3n to the third + 12n^ - 36n
6. r^ + r + 3
7. 16x^ - 14x + 3
8. 7b^ - 42b + 56
9. y^ + 4y - 45
10. 8a^ + 23a - 3
Thank you againnn! I just really need to get this class out of my way. It's holding me back from continuing other work and classes that I don't even struggle with. I'm sure you can imagaine my frustration with this! But thank you for the help...
Click here to see answer by JBarnum(2146)  |
Question 362032: I need help on factoring polynomials math is my weakest subject and I need a lot of help on it.
Here are some examples of problems I need help on:
1. 12m^5n^2+9m^4n+6m^3n^2
2. 6x^2+3x-15
3. 6x^4-10x^3+3x^2
and I would really appreciate if I can have the steps on how to solve these and problems like these because I'm not really understanding how the book is explaining it. Thank you.
Click here to see answer by edjones(8007) |
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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, 30016..30060, 30061..30105, 30106..30150, 30151..30195, 30196..30240, 30241..30285, 30286..30330, 30331..30375, 30376..30420, 30421..30465, 30466..30510, 30511..30555, 30556..30600, 30601..30645, 30646..30690, 30691..30735, 30736..30780, 30781..30825, 30826..30870, 30871..30915, 30916..30960, 30961..31005, 31006..31050, 31051..31095, 31096..31140, 31141..31185, 31186..31230, 31231..31275, 31276..31320, 31321..31365, 31366..31410, 31411..31455, 31456..31500, 31501..31545, 31546..31590, 31591..31635, 31636..31680, 31681..31725, 31726..31770, 31771..31815, 31816..31860, 31861..31905, 31906..31950, 31951..31995, 31996..32040, 32041..32085, 32086..32130, 32131..32175, 32176..32220, 32221..32265, 32266..32310, 32311..32355, 32356..32400, 32401..32445, 32446..32490, 32491..32535, 32536..32580, 32581..32625, 32626..32670, 32671..32715, 32716..32760, 32761..32805, 32806..32850, 32851..32895, 32896..32940, 32941..32985, 32986..33030, 33031..33075, 33076..33120, 33121..33165, 33166..33210, 33211..33255, 33256..33300, 33301..33345, 33346..33390, 33391..33435, 33436..33480, 33481..33525, 33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105
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