Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 120478: What is the equation of the quadratic function under the following transformations of the basic quadratic function y=x^2 : a vertical stretch of 2/5 , a vertical translation of -3 units and a horizontal translation of 2 units ? I said 5/2(y+3)=(x-2)^2 but I'm not sure.
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Question 120473: If a sequence contains the terms tn=-2n^2-5n+10,what is the value of t25? I got 2385 can someone please explain?
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Question 120474: What are the EXACT values of the roots of the quadratic equation 1/2(x^2-6x)=2 ?
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Question 120627: Solve 4X^2-13X=12
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Question 120767: Solve. -9(x-3)^2=-7
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Question 120777: Debbie has 80 metres of fencing to make a rectangular dog pound of dimensions length ,L,and width, W. What is the equation of the area of the dog pound as a function of length?
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Question 120779: What is the equation of the axis of symmetry for the parabola y=2x^2-6x+5?
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Question 120709: what is the answer step by step to the following quadratic equations ?
x squared-4x-15=0
x squared+8x-33=0
x squared+5x+2=0
3xsquared-3x+6=0
Help would be great i need it bad

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 120780: Using the following sequence,determine what type of function describes the sequence. Once you determine the type of function,find the function algebraically.(4,9,17,28,42,59,...)
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Question 120783: a)Mary invested $600 at the Royal Bank at an interest rate of 3.6% per year.How much money will she have after 12 years?
b)The half-life of radium is 1400 years. If there was 800 grams of radium, how much will remain after 5000 years?

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Question 120774: A football is kicked into the air and follows the path defined by h=-2x^2+16x, where x is the time in seconds and h is the height in metres.What is the maximum height reached by the football?
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Question 120708: what is the answer step by step to the following quadratic equations ?
x squared-4x-15=0
x squared+8x-33=0
x squared+5x+2=0
3xsquared-3x+6=0
Help would be great i need it bad

Click here to see answer by jim_thompson5910(35256) About Me 

Question 120821: Find the constant term that should be added to make the following expression a perfect-square trinomial.
x^2 + 18x
I come up wtih
x^2+2time9x+81 but I am not sure that this is correct.

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Question 120772: A quadratic function has x-intercepts at (-8,0) and (2,0).What is the transformational form of the function if the minimum y values is -3?
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Question 120707: what is the answer step by step to the following quadratic equations ?

x squared-4x-15=0
x squared+8x-33=0
x squared+5x+2=0
3xsquared-3x+6=0
Help would be great i need it bad

Click here to see answer by checkley71(8403) About Me 

Question 120875: Find the length x if the shaded area is 480 cm^2.
The shape is a trapezoid.
What I've got so far is this:
480 = x^2 + 2x
x^2 + 2x + 48 = 0
Am I on the right track? If so, what do I do next? Thank you for your help!!

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Question 120925: I need help with this equation

24x+3x2=0

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Question 120877: a park planner has sketched a rectanular park in the first quadrent of a coordinate grid. wo sides of the park lie on the x- and y-axes. a trapezoidal flower bed will be bounded by the line y=x+7, the x-axis, and the vertical lines x=1 and x=a, where a is greater than 1. The areaA of the trapezoid is modeled by A=1/2a squared+7a-15/2. assume the lengthsamong the axes are measured in meters. For what value of a will the trapezoid have an area of 25 meters? use the quadratic formula to find the answer
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Question 120923: I need help with this equation
3x2-16x-12=0

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Question 120941: I need help with this quadric formula
x2-2x+8=0

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Question 120941: I need help with this quadric formula
x2-2x+8=0

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Question 120921: I think this problem mostly has to do with the discriminant,but I tried the ways showed on the website and I'm still confused.
If 4x^2+kx+6=0 has one real root, find k.

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Question 120944: I need help with this quadratic equation
x2-2x+8=0

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Question 120961:
x squared minus 9x minus 36

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Question 121035: Hank Hill travels home to Whoville every weekend from Paradise. The distance each way is 800km/h. Anxious to return home, he decides to increase his speed by 20km/h and realizes that he arrives home 2 hours earlier than the time it took him to travel to Paradise. How long does the trip to Paradise usually take ?
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Question 121032: Solve by completing the square:4x^2+8x-7=0.Express roots in EXACT radical form.
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Question 121033: Catapults fire projectiles that form a parabolic path. The height(h) in metres above the ground t seconds after the projectile leaves the catapult is given by the formula h=-4.9t^2 +4.2t+8.Use the quadratic formula to find the length of time the projectile is in the air before it hits the ground.
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Question 121030: Solve by using the quadratic formula: 4x^2-6x=9. Express roots in EXACT radical form if necessary.
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Question 121094: Can you help me solve this problem using the quadratic formula?
6x^2 + 3x - 18 = 0

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Question 121101: What is the equation of the axis of symmetry of the function y=-2(x+3)^2+1?
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Question 121103: For what values of k will kx^2+kx+2=0 have two equal real roots?
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Question 121106: What function represents the geometric sequence ( 3,15,75,375,...)?
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Question 121116: We have to measure the distance from the diagonal of our computer screen and to the nearest tenth of centimeter or sixteenth of an inch. Measure the height of the screen along the vertical as well. I came up the measurements of 19 for the diagonal and 12 for the height and 14 for the horizontal. Could you please help me solve? I measured and got 14 for my height and my measurements are off? Please help
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Question 121105:
Solve for x: 1/2x+3/8=3/4

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Question 121029: Old MacDonald wants to build a rectangular pen for his animals. He has 40 m of fencing and he plans to use the barn as one side for his pen. What dimensions will give him a maximum area?
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Question 121107: Evaluate:
a) 3^-2 - 3^0+(1/3)^-2
b)(3^-1+2^-1)^-2

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Question 121104: What is the product of the roots for the quadratic equation sqrt2x^2-4x+2=0?
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Question 121125: PLEASE I HAVE ANOTHER QUESTION. I BELIEVE THAT THIS ONE HAS A DISCRIMINANT
CALCULATE THE VALUE OF THE DISCRIMINANT OF X^2+4X+4=0
THIS PROBLEM IS FROM COLLEGE ALGEBRA WOOKBOOK

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Question 120990: 48 - 14y + y squared
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Question 120989: 3x squared + 5x + 2
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Question 121164: For a function of the form y=a(b)^x to produce a decay curve, what must be true about b? (Assume a is greater than 0): (a)b is less than 0 (b) b is greater than 0 (c) 0 is less than b is less than 1 (d) b is greater than 1.
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Question 121166: If f(x)=2(3^x-2),what is the value of f(2)?
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Question 121165: Which of the following functions represents a person who processes a certain medication more quickly than another person? (a) A=30(0.2)^t ,(b) A=30(0.4)^t , (c) A=30(12)^t (d) A=30(14)^t ?
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Question 121170: Clyde purchases a new car for $18000.If the car's value depreciates by 8% annually, what will be the car's value after 5 years?
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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