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

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Question 609975: Suppose a market research company finds that at a price of p = $30, they would sell x = 45 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 = 60 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 #1: Write an equation using two points in the form (x, p). Hint #2: The slope formula is needed.
Click here to see answer by stanbon(57361)

Question 610013: Factor the following trinomials.
6. n to the second +15n+26
7. -2xsquared +5x+3
8. 2hsquared +5h +3
9. 3xsquared +x-14
Solve the equations show all work.
10. 2asquared +26a-0
11. 3t squared -33t=0
12. 4a squared -7a +3=0
13. 6nsquared +13n=5
Thanks!!!
Click here to see answer by Alan3354(30993)

Question 610005: Factor out the Greatest common monomial factor
1.4xsquared + 6xy
2. 18ysquared + 6yz
3. 2x +2y
4. 15asquaredbsquared +5ab
5. 5xy-12x
Thanks!!
Click here to see answer by ewatrrr(10682)

Question 610032: Factor completely:
40x^3 + 34x^2 - 20x
Click here to see answer by jim_thompson5910(28595)

Question 610101: I'm having problems with working on this problem:
Solve by factoring:
y^2 + 2y = 8
Click here to see answer by flame8855(424)

Question 610097: the solution to the system of eguations y =2x and y =-x+3? please help?
Click here to see answer by flame8855(424)

Question 610143: I am stuck on this. Please help!
(-33xy^-1 / 66x^0y^-3)^2
(-33/66)^2 (x/x^0)^2 (y^-1/y^-3)^2 this is how you are supposed to do it
and now i am stuck
i know that (-33/66)^2= 1/4 but i cant figure out what (x/x^0)^2=?
(1/4) ? (y/y^9)
Click here to see answer by ewatrrr(10682)

Question 608390: Find all the real zeros of the polynomial. Use the quadratic formula if necessary.

2x^4 + 19x^3 + 23x^2 + 5x − 1
Click here to see answer by jsmallt9(3296)

Question 610234: I am in need of solving this question. I have looked at it over and over and can not figure it out. Factor: 4x^5y^3+28x^3y^2+28xy
Click here to see answer by scott8148(6628)

Question 610256: right side completely factor
-2x^2+76x+430
Click here to see answer by jim_thompson5910(28595)

Question 610256: right side completely factor
-2x^2+76x+430
Click here to see answer by richwmiller(9143)

Question 610286: Simplify the following expression; express in terms of i.
square root of -98
Click here to see answer by jim_thompson5910(28595)

Question 610312: Factor 81x^2-126xy+49y^2
Click here to see answer by jim_thompson5910(28595)

Question 610313: Factor 64a^2-16ab+b^2
Click here to see answer by jim_thompson5910(28595)

Question 610338: graph y>=sqrt3x+12
Click here to see answer by flame8855(424)

Question 610323: Find the LCM of x^2+6x+9 and x^2+x-6
Click here to see answer by nerdybill(6962)

Question 610424: 3x-3/3x
I have gotten the answer x-0/x.
My question is: Do I keep the -0 or does it simplify to 1?

Click here to see answer by Alan3354(30993)

Question 610418: Find the GCF of 8x^(2 ),-4x,and -20
Click here to see answer by nerdybill(6962)

Question 610443: v/9 - v/15= 1/9
Click here to see answer by flame8855(424)

Question 610454: x^2+13x+36
Click here to see answer by jim_thompson5910(28595)

Question 610522: (7n)9th power _(7n)19th power
Click here to see answer by jim_thompson5910(28595)

Question 610523: 3/x + 2/a = 9/2x
I keep getting 12a-4x/2xa but that is not one of the answers! Please help!
Click here to see answer by Alan3354(30993)

Question 610577: Complete the table and choose the solution for each given value of x
y = –x2 + 2
When x = – 1
y = –(–1)2 + 1 = 2; (–1, 1)
y = (–1)2 + 2 = 1; (–2, 1)
y = –(–1)2 + 2 = 1; (–1, 1)
y = (–1)2 + 2 = 1; (1, –1)
Click here to see answer by stanbon(57361)

Question 610655: Find the product: (2x-7y)(2x+7y)
Click here to see answer by Maths68(1474)

Question 610655: Find the product: (2x-7y)(2x+7y)
Click here to see answer by ashipm01(26)

Question 610653: (−9x3 + 3x2 − 15x) ÷ (−3x)
Click here to see answer by Maths68(1474)

Question 610654: Find the product: -9y^2(y^4+8y^3-3y^2+8y+7)
Click here to see answer by ashipm01(26)

Question 610693: 2p^2(p+7)
Click here to see answer by lynnlo(4164)

Question 610726: If 27^n=9^8,then n=?
Click here to see answer by scott8148(6628)

Question 610801: Find the product
(-4t-4v)(-5t-5v)
Click here to see answer by jim_thompson5910(28595)

Question 610810: Factor the polynomial
20a^3 b^2-35a^7 b^5+60a^2 b
Click here to see answer by richwmiller(9143)

Question 610810: Factor the polynomial
20a^3 b^2-35a^7 b^5+60a^2 b
Click here to see answer by jim_thompson5910(28595)

Question 610813: How is this factored completely?
36x-100y^2 x
Click here to see answer by jim_thompson5910(28595)

Question 610813: How is this factored completely?
36x-100y^2 x
Click here to see answer by scott8148(6628)

Question 610860: 11w(squared)-14w+3
factor.
please show me how to work this promblem out!(: thanks
Click here to see answer by jim_thompson5910(28595)

Question 610860: 11w(squared)-14w+3
factor.
please show me how to work this promblem out!(: thanks
Click here to see answer by scott8148(6628)

Question 610832: Hello
So
I have a test on polynomial stuff, factoring, completing the square, factoring trinomials, how to change from one form of an equation (general, vertex, factored form) is there any easy way to remember all this stuff because it seems for each equation you're doing somthing different and I'm so lost... Is there an easy way to remember it all?
Click here to see answer by Alan3354(30993)

Question 610878: 2x(squared)+15n+7
factor this. please & thank you!(:
Click here to see answer by Alan3354(30993)

Question 610911: tHE LENGTH OF A RECTANGLE IS 3 INCHES GREATER THAN THE WIDTH. WRITE A POLYNOMIAL THAT REPRESENTS THE AREA OF THE RECTANGLE.
Click here to see answer by solver91311(16897)

Question 610926: Evaluate each polynomial for x= -2.

Click here to see answer by radh(108)

Question 610954: ((4x^2)/(2x))
Click here to see answer by ewatrrr(10682)

Question 611008: Factor completely Remember to look first for a common factor. Check by multiplying. If a polynomial is prime, state this.

2x^3 - 40x^2 + 192x

Click here to see answer by richwmiller(9143)

Question 611007: Factor completely. Remember to look first for a common factor and to check by multiplying. If a polynomial is prime, state this.
2a^2 + 28^a + 98
Click here to see answer by lynnlo(4164)

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, 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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, 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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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