Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 99593: A company uses the formula C(x)= 0.02x^2+3.4x+150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at it's minimum? What is the unit cost at that level of production?
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Question 99654: Determine the equation of the axis of symmetry for the parabola whose x - intercepts are (-3, 0) and (1,0).
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Question 99654: Determine the equation of the axis of symmetry for the parabola whose x - intercepts are (-3, 0) and (1,0).
Click here to see answer by jim_thompson5910(35256) About Me 
Question 99657: Fully factorise the following expression. (9m^2 - a^2)
Can you help me with this one please?
Click here to see answer by Earlsdon(6294) About Me 
Question 99662: I have a container holding 3/4 litre of liquid. I pour ot 1/3 of the liquid. How much liquid remains in the container?
Can you help me with this one please?
Click here to see answer by Earlsdon(6294) About Me 
Question 99661: Simplify the following fractions leaving the answer in index form.
(2n^2 * 3n^3/6n^7) Can you help me please?
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Question 99678: Given f(x)=x^2 * (x-7) - 16 * (x-7), solve f(x) is greater than or equal to 0 .
Express your answer using interval notation.
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Question 99676: Given F(X) = 4X^2 - 12X, solve f(X) > 0.
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Question 99713: Could you please help me solve this equation....The directions say Solve Each Equation by making an appropriate solution...Here is the problem:
x-13√x+40=0
√=Square root...Didn't know if that looked like one so I was telling you what it was...
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Question 99596: The period T (time in seconds for one complete cycle) of a simple pendulum is related to the length L (in feet) of the pendulum by the formula 8T^2= pi^2L. If a child is on a swing with a 10 foot chain, then how long does it take to complete one cycle of the swing?
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Question 99663: Given f(x) = x^2 + x - 30, solve f(x)is greater than or equal to 0.
Express your answer using interval notation.
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Question 99891: +3y%5E2-7y-5=0+
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Question 99891: +3y%5E2-7y-5=0+
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Question 99894: Find the equation of the axis of symetry for the graph of +y=x%5E2-3x%2B2+, and state whether the axis of symetry contains a maximum point or a minimum point of the graph.
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Question 99894: Find the equation of the axis of symetry for the graph of +y=x%5E2-3x%2B2+, and state whether the axis of symetry contains a maximum point or a minimum point of the graph.
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Question 99957: the speed of an airplane in still air is 286 km/h it travels 883 km against the wind and 1119 km with the wind in total time is 13 hr.
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Question 98941: I have no idea how to solve this problem, someone please help me! The problem is:
Suppose the cost function for the production of a particular item is given by the equation +C%28x%29=2x%5E2-320x%2B12920+, where x represents the number of items. How many items should be produced to minimize the cost?
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Question 99984: Given the functions f(x)= x^2 - 6x - 4 and g(x)= x - 4, find f(g(4)) .
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Question 99985: Given the functions f(x)= sqrt of(x+8)and g(x)= 7x - 4, find f(g(4)).
If a decimal is needed, maintain 2 decimal places accuracy.
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Question 99983: Given the functions f(x)= x^2 - 9x - 3 and g(x)= x - 3, find f(g(x))
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Question 99878: A rectangular piece of sheet metal is 2 inches longer than it is wide. Squares measuring 4 inches on a side are cut from each corner and the sides are folded to form a box. If the volume of the box is 32 cubic inches, what are the dimensions of the sheet metal?
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Question 100109: How can I find the vertex while using the quadratic formula?
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Question 100158: the demand equation for a certain type of printer is given by
D = -200p + 35,000
The supply equation is predicted to be
S = -p^2 + 400p - 20,000
Find the equilibrium price.
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Question 100208: Let α and β be the two roots of a quadratic equation ax^2 + 2b^x + c = 0, where a, b and c are constants.
Obtain the quadratic equation whose two roots are λ and δ such that λ = α^2 + β^2 and δ = α^2 - β^2.
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Question 100208: Let α and β be the two roots of a quadratic equation ax^2 + 2b^x + c = 0, where a, b and c are constants.
Obtain the quadratic equation whose two roots are λ and δ such that λ = α^2 + β^2 and δ = α^2 - β^2.
Click here to see answer by Edwin McCravy(20054) About Me 
Question 100153: Geomatry. The length of a rectangle is 1 cm longer than its width. If the diagnonal of the rectangle is 4cm what are the dimensions (the length and teh width) of the rectangle?
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Question 100218: One cow is tied per tree and three cow's are left and if two cow's are tied per tree then four trees are left. How many trees and cow's are there in total.
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Question 100452: Could someone please help me with this equation.
Find two consecutive positive integers such that the sum of their squares is 85.
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Question 100447: Could someone please help me with this equation??? Solve the quadratic equation bt completing the square.
x%5E2-6x-3=0
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Question 100455: Could I get someone to show me how to solve this equation correctly?
Use the quadratic formula to solve the following quadratic equation.
2x%5E2-5x=3
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Question 100455: Could I get someone to show me how to solve this equation correctly?
Use the quadratic formula to solve the following quadratic equation.
2x%5E2-5x=3
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Question 100449: Could someone please help me with this equation? Solve this quadratic equation by completing the square.
2x%5E2%2B10x%2B11=0
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Question 100465: If the sides of a square picture frame are increased by 5 cm, the area becomes 289 cm^2. Find the length of a side of the original picture frame.
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Question 100465: If the sides of a square picture frame are increased by 5 cm, the area becomes 289 cm^2. Find the length of a side of the original picture frame.
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Question 100465: If the sides of a square picture frame are increased by 5 cm, the area becomes 289 cm^2. Find the length of a side of the original picture frame.
Click here to see answer by doukungfoo(195) About Me 
Question 100528: I am guessing this is a quadratic equation. (x+y-z)(x-y+z)
How do I solve it? What is the name of this equation? What are the steps to solve it?
I am an exchange student in Japan and I don't understand completly when the teacher is teaching. Thank you very much.
Click here to see answer by stanbon(75887) About Me 
Question 100530: Science and Medicine. The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
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Question 100530: Science and Medicine. The equation h = -16t^2 + 112t gives the height of an arrow, shot upward from the ground with an initial velocity of 112 ft/s, where t is the time after the arrow leaves the ground. Find the time it takes for the arrow to reach a height of 180 ft.
Click here to see answer by bucky(2189) About Me 
Question 100676: Could someone please help me solve this equation?? Use the quadratic forumla.
3x%5E2-2x%2B1=0
Click here to see answer by checkley71(8403) About Me 
Question 100676: Could someone please help me solve this equation?? Use the quadratic forumla.
3x%5E2-2x%2B1=0
Click here to see answer by stanbon(75887) About Me 
Question 100694: For each equation find teh x - intercept
y = x^2 + x - 6
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Question 100707: I would love some help on this one. Particularly the graphing.
Solve the following quadratic equations. Make sure to show all your work. Do not use any method (e.g., factoring, completing the square, quadratic formula, graphing) more than twice. Use the graphing method at least once.
1. 3x2 + 11x – 20 = 0
2. x2 + 3x – 4 = 0
3. 3x2 – x – 1 = 0
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Question 100700: describe the resulting graphs by identifying the vertex point, the graphs direction and any axis intercepts gleaned from the table or graphs
y = -x + 1
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Question 100859: Please can you help solve: 0.75x²-2.4x+75.Calculate the value of x when h = 73.08
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Question 100958: Solve the equation by completing the square
4x^2 + 16x + 7 = 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