Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1114498: Find the value for c such that y = x + c is a tangent to the parabola
y = x^2-x-12.
Can you please help me do questions like that? What is meant by 'tangent to the parabola'?
Thankyou
Click here to see answer by josgarithmetic(39613)

Question 1114585: Hi how do you find the equation of a parabola given 3 points:
(-1,-2), (1,-4) and (3,10). Thanks
Click here to see answer by josgarithmetic(39613)

Question 1114607: APPROXIMATELY HOW MANY UNITS MUST BE MANUFACTURED TO MAXIMISE PROFITS DEFINED BY THE FUNCTION F(X) = -X^2 + 8X-16

Click here to see answer by josgarithmetic(39613)

Question 1114607: APPROXIMATELY HOW MANY UNITS MUST BE MANUFACTURED TO MAXIMISE PROFITS DEFINED BY THE FUNCTION F(X) = -X^2 + 8X-16

Click here to see answer by ikleyn(52748)

Question 1114666: How do I solve the following formula with the provided information. It appears there may be a missing factor...
4.9t^2+vot=s. An object falls from 2,547 meters. How many seconds does it take for it to hit the ground? Don't I need to know what the initial velocity is in order to accurately determine this answer???
Click here to see answer by stanbon(75887)

Question 1114777: A farmer decides to enclose a rectangular garden, using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 64 ft of fence? What should the dimensions of the garden be to give this area?The maximum area that the farmer can enclose with 64 ft of fence is ______yd.
sq ft., ft or sq. yd.

The larger dimension of the garden to give this area is______ft, sq. ft, sq. yd.
and the smaller dimension is ______ft., sq ft. sq. yd.

Click here to see answer by ikleyn(52748)

Question 1114791: At time t = 0, a seed is planted. After t weeks, the height of the plant is given by f(t) = 0.3t^2 + 0.6t + 0.5 inches. At what rate is the plant growing after 8 weeks?
Click here to see answer by josgarithmetic(39613)

Question 1114790: Find the average rate of change for f(x)= -2x^2 + 5x - 2 on [-1, 1]

Click here to see answer by MathLover1(20849)

Question 1114812: A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.2x(squared)−2.6x+9.950, where C(x) is in hundreds of dollars. What is the minimum average cost per dulcimer and how many dulcimers should be built to achieve that minimum?
The minimum average cost per dulcimer is $______. I have gotten this wrong twice and I only have one more try tonight :( There will be another question pop up on the screen after this one, but I am still stuck on this one.
Click here to see answer by greenestamps(13195)

Question 1114956: Matt and Mark have a square tree house with side lengths of x meters, they are currently trying to increase the dimensions of the tree house by 5 meters on both sides. As a result the area of the new square tree house is 4 times the area of the original tree house. What is the area of the new tree house?
Click here to see answer by ikleyn(52748)

Question 1114779: A company has determined that when x hundred dulcimers are built, the average cost per dulcimer can be estimated by C(x)=0.2xsquared−2.6x+9.950, where C(x) is in hundreds of dollars. What is the minimum average cost per dulcimer and how many dulcimers should be built to achieve that minimum?
The minimum average cost per dulcimer is $______. Thank you in advance!
Click here to see answer by Boreal(15235)

Question 1115016: How do you complete the square for this question:y=2x^2+4x-2 ?
I got y = 2(x+1)^2 - 2 but the answer says its y = 2(x+1)^2 - 4. Can someone please tell me where they got the -4 from?
Thanks
Click here to see answer by josgarithmetic(39613)

Question 1115017: If x+(1/x) = 9, what is x^2+(1/x)?
Click here to see answer by ankor@dixie-net.com(22740)

Question 1115043: 8 times the square of a positive integer divided by 2 equals 144 minus 36 times the positive integer. find the unknown positive integer.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1115200: Among all pairs of numbers (x,y) such that 2x+y=16, find the pair for which the sum of squares, x2+y2, is minimum. Write your answers as fractions reduced to lowest terms.
Click here to see answer by josgarithmetic(39613)

Question 1115230: working together nathaniel and his little sister asha can rake leaves in their backyard in 12 mins working alone asha can take leave in 30 mins how long would it take nathaniel to rake the leaves on his own?
Click here to see answer by ikleyn(52748)

Question 1115500: 1. What is the equation of the line through (1,2) and (3, -1)?
2. What is the vertex of f(x) = x2 � 6x + 3?
3. Using points, straight lines, and possibly the curve of a parabola, construct a piecewise function whose graph looks like a smiling face.

Click here to see answer by Alan3354(69443)

Question 1115663: The length of a sheet of paper is 14 inches more than its width and its area is 912 square inches. Find its length.
Click here to see answer by Alan3354(69443)

Question 1115667: The height of a box is 5 feet less than its length and 2 inches more than its width. If the area of the bottom is 8 2/3 square feet, what are the dimensions of the box?
Click here to see answer by josgarithmetic(39613)

Question 1115666: Eric and Nathan together can do a piece of work in 3 days. If it takes Eric working alone 1 3/4 days longer than it does Nathan, in how many days can each do the work alone.
Click here to see answer by josgarithmetic(39613)

Question 1115664: The floor area of a certain semirailer is 306 square feet. If It's length is 2 feet more than 4 times its width, what is its width?
Click here to see answer by MathLover1(20849)

Question 1115665: If a beet-sugar factory in England processed 2000 tons less of beets per day, it would take 1 day longer to slice 60,000 tons of them. How many tons of beets are processed per day?
Click here to see answer by ikleyn(52748)

Question 1115768: The perimeter of a quadrilateral is 38 centimeters. Find the length of each side.
x+8
x+4
x^2-2x
3x-2
Click here to see answer by ikleyn(52748)

Question 1115827: the diagonol of a rectangle is 25cm. If the length is 5cm more than the width, find the dimensions of the rectangle.
Click here to see answer by Alan3354(69443)

Question 1115834: the base of a triangle is three times the height. if the area of the triangle is 54 cm^2, find the base and the height of the triangle.
Click here to see answer by ikleyn(52748)

Question 1115833: Can you write the quadratic equation whose roots are 2 and -6, and whose leading coefficient is 1.

Click here to see answer by ikleyn(52748)

Question 1115832: the width of the rectangle is 5m less than the length. if the area of the rectangle is 500m^2, find the dimension of the rectangle.
Click here to see answer by Alan3354(69443)

Question 1115830: the length of a rectangle is 12 cm more than the width. if the area of the rectangle is 220 cm^2, find the dimensions of the rectangle.
Click here to see answer by ikleyn(52748)

Question 1115864: 6; m^2 +2; 6m+2;11m
Click here to see answer by Fombitz(32388)

Question 1115864: 6; m^2 +2; 6m+2;11m
Click here to see answer by Shin123(626)

Question 1115978: The height, in meters, above sea level of a NASA launched rocket is given by
h(t)=-4.9t^2+178t+388 where t
represents the number of seconds since the rocket was launched.
If we assume that the rocket is launched from a launch pad, how high is the launch pad?
Click here to see answer by Alan3354(69443)

Question 1115994: The height, in meters, above sea level of a NASA launched rocket is given by
h(t)=-4.9t^2+178t+388 where t
represents the number of seconds since the rocket was launched.
If we assume that the rocket is launched from a launch pad, how high is the launch pad?
Click here to see answer by josgarithmetic(39613)

Question 1116114: Nick tossed a penny off a 20 foot bridge. The path of the penny�s height can be modeled by the equation h(t) = -16t^2 + 40t + 20. Find the maximum height of the penny.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1116127: Anna and Carly threw their math books out of a window that�s 36 feet from the ground. The equation of each textbook�s pathway is given below. Whose book will reach the ground first and by how many seconds?
Anna: h(t)= -16t^2 + 36
Carly: h(t)= -16t^2 + 10t + 36
Click here to see answer by Alan3354(69443)

Question 1116128: 2n^2+2
Click here to see answer by Alan3354(69443)

Question 1116188: A picture that is 18 inches by 12 inches has a frame of uniform width whose area is equal to that of the picture. Find the width o the frame.
Click here to see answer by ankor@dixie-net.com(22740)

Question 1116187: A rectangular park, 60 meters long and 40 meters wide, is surrounded by a jogging path of uniform width, containing 1344 square meters. How wide is the jogging path?
Click here to see answer by josgarithmetic(39613)

Question 1116185: The senior class at a high school had a banquet that cost $150. If there had been one 5 persons less, the cost would have been $1.00 more. how many persons were at the banquet?
Click here to see answer by greenestamps(13195)

Question 1116206: find the radius of a circle with an area of 80cm 2
Click here to see answer by stanbon(75887)

Question 1116206: find the radius of a circle with an area of 80cm 2
Click here to see answer by addingup(3677)

Question 1116186: A brick layer and his helper in a certain day laid 1,500 bricks. If they had laid 25 bricks more per hour and had worked two hours less time, they would have laid 1,400 bricks. Hour many bricks did they lay per hour?
Click here to see answer by josgarithmetic(39613)

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