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

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Question 372481: how to solve and get eigen values for this.
for the time being insted of lamda symbol I have used here x variable.
(-x^3)+(12x^2)-44x+48.

reply soon.
thank you.
Click here to see answer by Fombitz(32388)

Question 372604: Factor x^2-4x-5
Click here to see answer by Jk22(389)

Question 372635: Determine whether the function is one-to-one by graphing and using the horizontal line test.
F(x)=Square root of 9-x^2
A. No
B. Yes
Click here to see answer by ewatrrr(24785)

Question 372656: Can you help me find the common denominator to solve this equation:
(7/(x+4))+ (4/(x^2-4x+16)) - (336/(x^3+64))
Click here to see answer by Fombitz(32388)

Question 372784: simplify 3x+y=6
Click here to see answer by solver91311(24713)

Question 372861: Write the quadratic function in vertex form
y = x^2 + 4x

Click here to see answer by robertb(5830)

Question 372863: Write an equation for the quadratic function whose graph contains the given vertex and point.
Vertex (5, 5), point (7, 17)

Click here to see answer by robertb(5830)

Question 372875: 3x^2 + 6x/3x^2 + 9x
Click here to see answer by mananth(16946)

Question 372879: I am confused on how to add the polynomial
(1/3x^9 + 1/2x^5 - 1/2x^2 + 7)+ (-1/5x^9 + 1/4x^4 - 3/5x^5)
Click here to see answer by robertb(5830)

Question 372887: 8m/6m + mn
Click here to see answer by Alan3354(69443)

Question 372888: x + 5/-5x - 25
Click here to see answer by Alan3354(69443)

Question 373065: The amount of metal S (in square inches) that it takes to make a can for tomato soup depends on the radius r and the height h: S =πr^2 + 2πrh
b) Let h = 5 inches and write a formula that expresses S in terms of r.
Click here to see answer by mananth(16946)

Question 373064: S =πr^2 + 2πrh
Rewrite this formula by factoring out the greatest common factor on the right hand side.
Click here to see answer by Jk22(389)

Question 373321: Can you please help me with these questions? I am stuck!
1. Simplify completely. 5x - 10/x^2 divided by 5 =
-2,
x - 2/x,
-1, or
x^2 - 2x/x^2
?
2. Simplify the following expression. Please show all work.
x^2-25/x divided by x^2 + 6x + 5/x^2
3. Simplify completely.
4a - 8/6-12a =
-2/3,
2(1-2)/3(1-2a),
2a-2/3-6a,
or 2a-2/3-3a?
4. Simplify completely.
3x + 9/3x =
9,
4,
x+3/x,
or x+6?
5. Simplify completely. x^2 - 25/x+1 multiplied by x^2 - 1/x -5 = (x-5)(x-1),(x+5),(x+1),(x+5)(x-1), or (x-5)(x+1)
6. Choose all the polynomials that are classified as difference of squares.
p^2+4,
9n^2-1,
4a-b^2,
12a^2 - 10a,
m^4-n^4
7. Add and simplify.
x/3+5x/3 =
2x,
5x^2/9,
x,
or 5x^2/3
8. Add or subtract and simplify completely.
A. 16+x/x^3 + 7-4x/x^3
and B. 5-t/t^2 + 1 - t - 3/ t^2+1
9. Simplify completely.
2x+3/x-2 - x+5/x-2 =
x+8/ x- 2,
3x-2/x-2,
1,
x-2/x
10. Solve for x.
Solve x^2/x+12 = 2/1...
-8,3
24, -1
-12,0 or
6,-4
11. Subtract and simplify
x^2/x+3 - 9/x+3 =
x^2-9/x+3,
x - 3,
x^2-9/x^2+9,
or x^2-9/2x+6
12. Subtract and simplify
2y+7/y-5 - y+12/y-5 =
y^2-84/y-5,
1,
y+19/y-5,
or zero

13.solve for x.
x+2/3 = 6/ x -1
-5, 4
16, 19
-2,1
or -4,5
Thank you!!
Click here to see answer by edjones(8007)

Question 373370: Height difference. A red ball and a green ball are
simultaneously tossed into the air. The red ball is given an
initial velocity of 96 feet per second, and its height t seconds
after it is tossed is 16t2 96t feet. The green ball
is given an initial velocity of 80 feet per second, and its
height t seconds after it is tossed is 16t2 80t feet.
a) Find a polynomial D(t) that represents the difference in
the heights of the two balls.
b) How much higher is the red ball 2 seconds after the
balls are tossed?
c) In reality, when does the difference in the heights stop
increasing?
Click here to see answer by ankor@dixie-net.com(22740)

Question 373512: solve for x: x/8-x/12=1/8
Click here to see answer by robertb(5830)

Question 373513: solve for x: 1/x+4+1/x-4=1/x^2-16
Click here to see answer by robertb(5830)

Question 373490: I would really appreciate your help! I need to find the values of p, r, and q. I have tried to simplify the binomial on the left side of the equals sign, but afterward none of the terms can be combined, leaving me with an unsolvable equation (I have not learned to solve quadratic equations and usually the equations cancel them out nicely):
(px+q)(2x+5)=6x^2+11x+r
Click here to see answer by scott8148(6628)

Question 373630: Polynomials. Simplify. Do not use negative exponents in the answer.
(m−5)10

Can anyone help me with this one, please?
Click here to see answer by ewatrrr(24785)

Question 373644: Raise the quantity in parentheses to the indicated exponent, and simplify the resulting expression.

Click here to see answer by jsmallt9(3758)

Question 373652: Short Answer: Convert this number to scientific notation:
4129

Click here to see answer by josmiceli(19441)

Question 373652: Short Answer: Convert this number to scientific notation:
4129

Click here to see answer by rfadrogane(214)

Question 373650: Short Answer: Simplify the following expression, and rewrite it in an equivalent form with positive exponents.

Any help would be greatly appreciated!
Click here to see answer by jsmallt9(3758)

Question 373651: Multiply the expressions, and simplify.

Can someone please help?
Click here to see answer by Edwin McCravy(20054)

Question 373629: Polynomials. Find a value of the variable that shows that the two expressions are not equivalent. Answers may vary.
a + 7
______; a
7
Click here to see answer by jsmallt9(3758)

Question 373654: Use scientific notation to divide the following two numbers. Express the answer using scientific notation; retain at least three decimal places.
1.83 * 10^6 / 1.2 * 10^4

Click here to see answer by jsmallt9(3758)

Question 373514: Find the other factors by synthetic division:
y= x^3+2x^2-5x-6 given the factor X-1
Click here to see answer by jsmallt9(3758)

Question 373672: Simplify the following expression.
Any help would be appreciated!
Click here to see answer by jsmallt9(3758)

Question 373241: Let f(x)=-8+3^(x+7).Find the domain and range of f(x).
D:__________
R:__________
Click here to see answer by jsmallt9(3758)

Question 373683: Could anyone offer their expertise on this one please?? Im stumped!
Polynomials. Simplify. Do not use negative exponents in the answer.
(m−5)10

Click here to see answer by solver91311(24713)

Question 373696: The vertex of this parabola is at (-2, -3). When the x-value is -1, the
y-value is -5. What is the coefficient of the squared expression in the parabola's equation?

Click here to see answer by ewatrrr(24785)

Question 373641: Find the cubic polynomial which takes the following values y(0) = 1, y(1) = 0, y(2) = 1 and y(3) = 10 , hence obtain the value of y(0.5)?
Click here to see answer by CharlesG2(834)

Question 373738: factor uy+yx+8u+8x
Click here to see answer by Fombitz(32388)

Question 373735: FACTOR 25Y^2-81
Click here to see answer by Fombitz(32388)

Question 373741: I need help simplifying this expression please
I think i have the bottom half correct so far as x(x+2)(x-2) but I am not sure how to do the top since it does not not have an x on the 8!
Edit: I now have which I canceled out to x-2/x but the homework system I am using is telling me that it is incorrect could you help me further please?
Click here to see answer by jim_thompson5910(35256)

Question 373675: Simplify the following expression, and rewrite it in an equivalent form with positive exponents.
-18x^2 y^4 / 6x^7 y^2

Click here to see answer by Fombitz(32388)

Question 373772: Describe the steps involved, in detail, in finding the product of x+2 and x-2?
Click here to see answer by rfer(16322)

Question 373772: Describe the steps involved, in detail, in finding the product of x+2 and x-2?
Click here to see answer by solver91311(24713)

Question 373774: Please Help!!
Polynomials. Simplify. Do not use negative exponents in the answer.
(m−5)��

Click here to see answer by solver91311(24713)

Question 373773: None of this stuff makes sense to me, could anyone help please?? Thank You!!

Exponents and Radicals. Simplify. Remember to use absolute-value notation when necessary. If a root cannot be simplified, state this.
- 4√625
Click here to see answer by danisanders021(4)

Question 373736: FACTOR 5X^2+28XY+15Y^2
Click here to see answer by Fombitz(32388)

Question 373732: You want to build a new house valued at $150,000 in a neighborhood. The tax on a house in the same neighborhood with an assessed value of $112,000 is $1680. Find the tax on your house?
Click here to see answer by checkley77(12844)

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