Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 86: Is it possible for a quadratic function to have one real zero and one imaginary zero? Why? Coul you give me an example?
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Question 11: Solve the equation x^2=x+2 by graphing y=x^2 and y=x+2
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Question 198: why are there usually two solutions in quadratic equations?
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Question 189: Could you give me a real life example of when I would use the Quadratic Eguation?
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Question 147: Why is it sufficient to define a quadratic function, in terms of a, b, and c?
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Question 136: In america, the term quadratic is generally used in situations with four (4) terms or subjects. Why in quadratic equations is there only and x^2 (a) when it would seem logical to have it to the fourth power (x^4)?
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Question 85: The graph of a quadratic function can have 0, 1, or 2 x-intercepts. How can you predict the number of such intercepts without drawing the graph or completely solving the equation?
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Question 70: A baseball is hit by a batter. The function
s(t) = -16t to the second power + 140t + 3
models the ball's height above the ground, s(t) in feet t seconds after it was hit. How long will it take for the ball to strike the ground? Round to the nearest tenth of a second.

Click here to see answer by ichudov(507) About Me 

Question 68: A field bordering a straight stream is to be inclosed. The side bordering the stream is not to be fenced. If 1000yards of fencing material is to be used, what are the dimensions of the largest rectangle field that can be fenced What is the maximum area?
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Question 56: How would you set up the following word problem:
You are hitting baseballs. When tossing the ball into the air, your hand is 5 feet above the ground. You hit the ball when it falls back to a height of 4 ft. If you toss the ball with an initial velocity of 25ft/sec, how much time will pass before you hit the ball?
Thanks!

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Question 43: how do i write the quadratic equation used to find the time when the rocket reaches 80 ft. if y=55+33t-5t^2 where y is the height and t is the tim ethe rocket has been in the air?
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Question 27: 3x%5E2-9x%2B5%3C0
It has been years since I have had an algebra class. I cannot remember how to solve this problem. Thank You!

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Question 26: Is there a way to explain the Quadratic Formula in laymans terms??? I am going to teach Elem. Ed, and is there a simpler way to explain it to my students??? Also, is there any proofs for why factoring works?? I've searched and searched, and I cannot find any proofs.
Click here to see answer by ichudov(507) About Me 

Question 24: How do you find A and B in the equation 12x%5E2=48 when directed to "Solve by using the Quadratic Equation."?
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Question 23: what are the roots if in ractored form it is y=(2x-3)(3x+4)?
what is the axis of symmetry?

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Question 22: This is a basic question but I can seem to explain it. The Quadratic Equation term "b^2 -4ab" why do we change it to "b^2+ 4ab" when the "b" value is negative? Thanks annmrj@aol.com
EX: b^2-4ab (x^2-6x-27=0) = 6^2+4(1)(-27)=144

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Question 15: How do I find the parabola of y=3x^2+4x-5
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Question 99: The base of a triangle is five feet longer than the height. The area of the triangle is 75 square feet. Find the height and base of the triangle.
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Question 93: The position of an object moving in a straight line is given by s(t)=t^2-8t, where s is in the feet and t is the time in seconds the object has been in motion. How long will it take the object to move 11ft.
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Question 152: two consecutive integers are added the square of their sum is 361, what are the integers?
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Question 101: How do I state the axis of symmetry for y=9x%5E2+%2B6x-1
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Question 266: the difference between two numbers is 15. four times the smaller number plus twice the larger number is 120. what are the two numbers?
Click here to see answer by whenindoubt(13) About Me 

Question 265: What is a real life example where a quadratic equation would be used?
Click here to see answer by ichudov(507) About Me 

Question 262: how would the graph look with the equation as y >= x2+6x+9
>= (greater than or equal to)

please help soon!!!!

Click here to see answer by ichudov(507) About Me 

Question 289: Find two consecutive odd integers such that the square of the first, added to 3 times the second, is 24.
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Question 295: what is the answers to this eqaution Im not sure if i have the right answer
3 −  5/2 x − 3x²   =   0

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Question 288: The sum of the squares of two consecutive integers is 41. Find the integers
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Question 173: how do I find a parabola that passes through the points: (2,-3),(-2,9), and (1,3/2)?
Click here to see answer by AnlytcPhil(1806) About Me 

Question 335: How do I factorise 18%5E2-2%283x-1%29%5E2 and 36%282x-5%29%5E2-49%28x-5%29%5E2 ?
Click here to see answer by ichudov(507) About Me 

Question 316: I need help solving the quadratic word problem:
Find three consecutive even integers such that the square of the sum of the smaller two is equal to twice the largest.
so far I... let x = the first integer, x+2 = the second integer, x+4 = the third integer.
Selina

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Question 524: How do I factor 6x^2-7x-4?
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Question 549: What is the highest or lowest point of a parabola called?
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Question 549: What is the highest or lowest point of a parabola called?
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Question 544: A baseball is popped straight up with an initial velocity of 32 feet per second, then its height above the ground is a function of time given by s(t)=-16t^2+32t . Graph this function for 0 less than or equal t less than or equal 2 . What is the maximum height reached by this baseball?

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Question 548: I am clueless on how to get this answer, please help.
a%5E2+%2B+25+=+10a

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Question 554: what does a mean in the equation ax^2 + bx+c? answer as soon as you can
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Question 541: In this equation 2x square=32 is the correct answer for the vertex -8,96
or is it -4,4

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Question 620: I need help on this equation please
2x² + 5x - 3 = 0

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Question 667: 2nSquared-7n-3=0
I dont know how to do this and I need help..So please help.

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Question 654: How do I factor 6y^2+7y-25?
Thanks, Sue

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Question 589: Could you help me out?
f(x)=(x)(x)+5

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Question 591: Will you please help me with the following problem?
Put the following quadratic in standard form, identify the vertex, y-intercept, and graph including two symmetrical points to the left and right of the vertex.

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Question 579: where can i use quadratic equations and parabola graphs in real life
Click here to see answer by janinecb(25) About Me 

Question 550: What is %282x%5E3-32x%29%2F%28x%5E2%2B8x%2B16%29 reduced?
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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