Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 399329: cynthia besch wants to buy a rug for a room that is 12 ft wide and 15 ft long. she wants to leave a uniform strip of floor around the rug. she can afford to buy 108 ft^2 of carpeting. what dimensions should the rug have?
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Question 399259: I need to convert this to Vertex form i dont know how y=-3x^2 +6x-5 please help me
Click here to see answer by scott8148(6628) About Me 

Question 399331: Solve quadratic equation using the following steps x2 =12x -64 = 0
a) Move the constant term to the right side of the equation
b) Multiply each term in the equation by four time the coefficient of the x2 term
c) Square the coefficient of the original x term and add it to both sides of the equation
d) Take the square root of both sides
e) Set the left side of the equation equal to the negative square root on the right side of the equation and solve for x

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Question 399356: 〖3x〗^2-12x=0
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Question 399445: Solve using the Quadratic Formula:
2x^2 = 4 + 7x

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Question 399512: use the quadratic formula to solve the equation
x^2-x=-9
the solution set is {_}
T
ype an exact answer,using radicals as needed. Express complex numbers in terms of i. Use intergers or fractions for any numbers in the expression. Use comas to seperate answers as needed.

Click here to see answer by Alan3354(69443) About Me 
Question 399512: use the quadratic formula to solve the equation
x^2-x=-9
the solution set is {_}
T
ype an exact answer,using radicals as needed. Express complex numbers in terms of i. Use intergers or fractions for any numbers in the expression. Use comas to seperate answers as needed.

Click here to see answer by josmiceli(19441) About Me 

Question 399483: Solve using Quadratic Formula: 3x^2 + 2x =7
My text says the answer is -1 + sqrt 22 over 3 or -1 - sqrt 22 over 3
I dont see how they got sqrt 22

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Question 399543: During a chemistry experiment, the cork in
a 0.6-foot tall beaker with an effervescent so-
lution pops off with an initial velocity of 23
feet per second. The quadratic model for the
situation is
h = −16t^2 + vt + s,
where v is the initial velocity, t is in seconds,
and s is the initial height.
How many seconds does it take for the cork
to hit the table?
Answer in units of sec.

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Question 399550: f(x) = −x^2 + 6x + 1
Graph

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Question 399586: f(x) = −2x^2− 4x + 15 please do step by step so i can understand
1.Express the quadratic function in standard form. how did you get the numbers
F(x)=
2.vertex (x, y) = how did you get the numbers
3.x-intercepts (x, y) = Small value)
4.(x, y) = larger value)
5.y-intercept (x, y) =
graph and where do the numbers meet???


Thank you soo much...

Click here to see answer by solver91311(24713) About Me 
Question 399586: f(x) = −2x^2− 4x + 15 please do step by step so i can understand
1.Express the quadratic function in standard form. how did you get the numbers
F(x)=
2.vertex (x, y) = how did you get the numbers
3.x-intercepts (x, y) = Small value)
4.(x, y) = larger value)
5.y-intercept (x, y) =
graph and where do the numbers meet???


Thank you soo much...

Click here to see answer by edjones(8007) About Me 

Question 60425: answer
Find 12% of 3600

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Question 60426: Find 150% of 28
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Question 399614: 12x²=216
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Question 399661: In the quadratic equation problem 3x^2 +3x - 2 = 0. How come the final answer where the b is -3 and the denominator is 6 can't be reduced to -1 over 2?
Click here to see answer by stanbon(75887) About Me 

Question 399686: find algebraically the equation of the axis of symmetry and the coordinates of the vertex of the parabola whose equation is y=-2x^2 - 8x +3
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Question 399686: find algebraically the equation of the axis of symmetry and the coordinates of the vertex of the parabola whose equation is y=-2x^2 - 8x +3
Click here to see answer by nerdybill(7384) About Me 

Question 399725: could you graph f(x0+x^2+12x+36 using a table
Click here to see answer by Alan3354(69443) About Me 

Question 399859: determine the equation of a circle with centre o(0,0)and point p(9,-4) on its circumference

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Question 399953: please help me to solve this problem by completing the sqaure step be step x^2+10x-3=0
Click here to see answer by ewatrrr(24785) About Me 

Question 399964: find two numbers whose sum is 10 and whose product is 32. use the quadratic formula to solve
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Question 399966: x^2=9x-2=-16
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Question 400028: 7x-3x^2=-10
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Question 400026: We are studying Equations, Inequalities, and mathematical modeling. Question says to find ALL solutions of the equation. check your solution in original equation. I need help working this problem. Can you show me step-by-etep how to work and solve equation? equation: 6x^4-14x^2=0
Click here to see answer by solver91311(24713) About Me 

Question 400124: xsquared+2x-2=0
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Question 400138: use the quadratic formula to solve equation 3x(2squared)-30x-180=0
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Question 400144: solve for x
4x^2 + 7x = 12x

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Question 400200: How to find the discriminant?
x^2 - 2x + 8 = 0

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Question 400345: I need to know how to solve the quadratic equation: 8w^2 + 64w + 56 in the "Factor and Solve" method.
Click here to see answer by stanbon(75887) About Me 

Question 400380: Ok, I am working on graphing the quadratic 5x^2+10x+2=0 but I do not full understand how to do it
Click here to see answer by lwsshak3(11628) About Me 

Question 400635: 4x^2=27x+7
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Question 400628: x^2-4x-45=0
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Question 400631: x^2=4x+12
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Question 400703: 14x^2+3x-2=0
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Question 399962: t^2-9t+5=0
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Question 400867: Can you help me find the the coordinates of the quadractic equation:
x^2+6x+6=0

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Question 401067: x^2+2x=8 Quadratic Equations
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Question 401065: (7x-4)^2=55
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Question 401064: (3x-4)^2=5
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Question 401064: (3x-4)^2=5
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Question 401099: x^2+9x+18=0
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Question 401141: During the first part of a trip a canoeist travels 48 miles at a certain speed. The canoeist travels 19 miles on the second part of the trip at a speed 5 mph slower. The total time for the trip is 3 hours. What was the speed on each part of the trip?
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Question 401097: x^2-x-1=0
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Question 401095: x^2+7x-12=0
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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