Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 637369: The height of a soccer ball that is kicked from the ground can

be approximated by the function:

y = -16⋅x2 + 80⋅x

where y is the height of the soccer ball in feet x seconds after it is kicked.

Find the time it takes the soccer ball to reach its maximum height: seconds

What is the soccer ball�s maximum height: feet

Find the time it takes from the moment the soccer ball is kicked until it returns to the ground: seconds

Click here to see answer by nerdybill(7384)

Question 637395: The height of a curved support beam can be modeled by
f(x) = -x^2/288+18
Find the height and width of the beam.
Click here to see answer by ewatrrr(24785)

Question 637437: (5a^0)(A^2)
Click here to see answer by MathLover1(20849)

Question 637544: Solve (x^2-3)^2-11(x^2-3)+30=0
Click here to see answer by DrBeeee(684)

Question 637582: solve the equation for y
y^3/2 -12y^1/2 +32y^-1/2 =0
HELP!!! TY!
Click here to see answer by meetkisai(17)

Question 637620: give the quadratic equation whose root are 4 and 7

Click here to see answer by Horlaye(27)

Question 637641: u^4/3- 17u^2/3 = -16
Click here to see answer by god2012(113)

Question 637675: for what value of k does the equation kt^2 + 5t +2 = 0, have exactly one real solution for t?
Click here to see answer by stanbon(75887)

Question 637696: Solve 36⋅x2 - 81 = 0 by using square roots.
Click here to see answer by MathLover1(20849)

Question 637693: A kicker starts a football game by "kicking off". The quadratic function y = -12⋅x2 + 36⋅x models the football's height after x seconds. How long is the football in the air?
Click here to see answer by ankor@dixie-net.com(22740)

Question 637777: The solutions to a quadratic equation are -4 and 4. What is the equation of its axis of symmetry?

Click here to see answer by lwsshak3(11628)

Question 637857: for each given axis of symmetry and point on a parabola, determine another point on the parabola. a. axis of symmetry x=2; given point (0,5):
b. axis of symmetry x=-5; given point (-7,3):
c. axis of symmetry x=1/2; given point (-2,7):
d. axis of symmetry x=5; given point (10,0):

Click here to see answer by stanbon(75887)

Question 638010: 27x�0�5+ 3x - 10 = 0 solve the following quadratic equation by factoring
Click here to see answer by Olowoyeye Ajisola(2)

Question 638010: 27x�0�5+ 3x - 10 = 0 solve the following quadratic equation by factoring
Click here to see answer by MathTherapy(10551)

Question 638159: 2m^2-m-15=0 quadratic problem, can you help me solve this step by step with text along side? Im having so many problems solving these types of problems, thanks and God Bless
Click here to see answer by reviewermath(1029)

Question 638294: a=6s^2, for s
Click here to see answer by MathLover1(20849)

Question 638455: The difference of two numbers is 16 and the sum of their squares is 130. Using algebraic methods determine what are the numbers?
Click here to see answer by lwsshak3(11628)

Question 638462: How many solutions would you expect the equation 2x^2-3x+9=0 to have? Why?
Click here to see answer by Alan3354(69443)

Question 638460: An envelope has an area of 80cm^2. If the length is 4cm longer than the width, use algebraic methods to find the dimensions of the envelope. (Round answer to 1 decimal place value).
Click here to see answer by josh_jordan(263)

Question 638646: Find the value of x.
4x^2-36x=-56
Click here to see answer by reviewermath(1029)

Question 638646: Find the value of x.
4x^2-36x=-56
Click here to see answer by lwsshak3(11628)

Question 638658: 1.) Find the slope of the following line.
4y=x+4
The slope is?

2.) Give the slope of each line and determine whether the two are parrallel, perpindicular, or neither.
5x+2y=2
3x+7y=0
The slope of the first line is?
The slope of the second line is?
Are they parrallel, perpindicular, are neither?
3.) Find the slope-intercept of the line that has the given characteristics. Slope (0) and y-intercept (0.8).
The equation is y=?

4.) Use the slope and y-intercept if possible, to graph the line whose equation is given.
y=4x+3

5.) Graph the equation using the slope and the y-intercept.
x+5y=20
Click here to see answer by mananth(16946)

Question 638704: The area of a square is 625 cmsqure .find the lenth of its side and diagonal.
Click here to see answer by Alan3354(69443)

Question 638854: I'm doing a math final that needs to be passed in tomorrow. I really needed to pass this class because it is my third time taking this one class. So I was wondering if someone could answer a couple questions for me? "write an equation of the line with a slope of -2/5 and a y intercept of 3. If you could get back to me as soon as you can I would greatly appreciate it.
Click here to see answer by Alan3354(69443)

Question 638858: I'm doing a math final and I neeeed someone's help ASAP!! Does (-2,3) lie on the graph 2x-4y=14? prove it please!!!
Click here to see answer by Tatiana_Stebko(1539)

Question 638858: I'm doing a math final and I neeeed someone's help ASAP!! Does (-2,3) lie on the graph 2x-4y=14? prove it please!!!
Click here to see answer by graphmatics(170)

Question 638859: Please find the intersection of the lines y= -2x and y= x-3?
Click here to see answer by Tatiana_Stebko(1539)

Question 638862: I need help solving (y-1)^2=2x+8
Click here to see answer by Alan3354(69443)

Question 638868: Solve.
log(3x+1)=2
Click here to see answer by josmiceli(19441)

Question 638867: Simplify:
(12+5i)-(2-i)
Click here to see answer by Tatiana_Stebko(1539)

Question 638847: I dont generally have a problem with fractional terms in a quadratic but the following problem has a variable in the fraction and has me confused. Here is the problem:
bx^2 + 2x + 1/b = 0 (b does not equal 0) solve for x.
Click here to see answer by MathTherapy(10551)

Question 638872: Can you please find the intersection of the lines y= -2x and y= x-3. please graph!!!
Click here to see answer by josmiceli(19441)

Question 638903: Determine whether the system is consistent, inconsistent, or dependent.
3x - 3y = -9
9x - 9y = -27

Click here to see answer by reviewermath(1029)

Question 638926: Solve. x(squared)-14x+49=64
Click here to see answer by jim_thompson5910(35256)

Question 639236: The question is "Find the length X if the shaded area is 160in^2. I have a picture of the problem and if you will email me, I will send it to you. I am assuming it is a quadratic since that is the section the question is in. I have worked the problem and think I have the correct answer but need confirmation. Thanks.
Click here to see answer by solver91311(24713)

Question 639340: Solve by factoring:
9t2 − 48t + 64 = 0

Click here to see answer by reviewermath(1029)

Question 639455: Solve these 2 equations using the quadratic formula:
1. 5r^2 - 16 = -3

2. 4v^2 = 21

I don't understand how we can use the quadratic formula if the equation isn't set up as: ax^2 + bx + c = 0. please help! thank you :D
Click here to see answer by lynnlo(4176)

Question 639486: Here is the problem:
If 3x^2 - 2x + 7 = 0, then (x-1/3)^2 =
I tried solving for x using the quadratic equation and arrived at 1 +or- 2sqrt(22) / 3. I'm not sure if this is correct, so could you walk me through it?
At that point, how could you plug that into (x-1/3)^2? There is more than one solution to x, so how could you arrive to one answer to that problem?
If it helps any, here are the possible choices: 20/9, 7/9, -7/9, -8/9, and -20/9
Thank you!
Click here to see answer by MathLover1(20849)

Question 639490: Ram said to Rahul 'i am twice as old as you were when i was as old as you are'.if the sum of their ages is 50 years.find their ages.
Click here to see answer by josmiceli(19441)

Question 639917: what is the vertex of this graph y=x^2-11x+28
Click here to see answer by reviewermath(1029)

Question 639923: five times the square of a certain number is 80.find the number

Click here to see answer by josh_jordan(263)

Question 639977: 2x^3-x^2-6x+3
how do I factor this?! Do I use a grouping method?
Click here to see answer by lynnlo(4176)

Question 639979: Compute the value of the discriminant and give the number of real solutions of the quadratic equation.
3x^2-7x+4=0
Click here to see answer by MathLover1(20849)

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