Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 252708: convert y=3x^2+18x+30 to vertex form by completing the square
convert y= -2x^2+28x-7 to vertex form by completing the square
trying to figure this out.
Click here to see answer by richwmiller(17219)

Question 252802: Can the following equation be solved by the method "completing the square"
4x^2 � 7x � 2 = 0
Click here to see answer by ptaylor(2198)

Question 252802: Can the following equation be solved by the method "completing the square"
4x^2 � 7x � 2 = 0
Click here to see answer by Theo(13342)

Question 249926: How to solve a quadratic equation

Click here to see answer by rapaljer(4671)

Question 252921: For a certain strain of bacteria? k is 0.134 when t is measured in days. How long will it take 4 bacteria to increase to 140?
Click here to see answer by drk(1908)

Question 250347: How would you write the equation of a parabola in vertex from that has the vertex (0,3) and a point (-4,-45)?
Click here to see answer by drk(1908)

Question 252957: What is the solution of the quadratic equation..x square+6x-3=0

Click here to see answer by drk(1908)

Question 252957: What is the solution of the quadratic equation..x square+6x-3=0

Click here to see answer by richwmiller(17219)

Question 253014: Band A charges $600 to play for the entire evening. Band B charges $350 plus $1.25 for each ticket sold. Find the number of ticket for which the cost of the two bands will be equal.
A caterer charges a fixed cost for preparing dinner plus an additional cost for each person served. you know the cost for 100 students will be $750 and the cost for 150 students will be $1050. Find the caterer's fixed cost and the cost per student served.
(I have the answer to these two questions, i just need help with one question.)
***Assume that a total of 200 students attend the dance, what would the cost per ticket be i would need to cover my expenses?***
Thank You!
Click here to see answer by richwmiller(17219)

Question 253084: Please help me solve and describe , and graph too.
Click here to see answer by hokies(65)

Question 253100: The square of a negative integer minus itself is 110. Find the integer.
Click here to see answer by hokies(65)

Question 253100: The square of a negative integer minus itself is 110. Find the integer.
Click here to see answer by jim_thompson5910(35256)

Question 253123: the sum of the reciprocals of two consecutive even intergers is 11/60. Find the integers
Click here to see answer by ankor@dixie-net.com(22740)

Question 253132: Determine the quadratic equation whose roots have a sum of 12 and the roots difference is 4i. (Write a let statement to identify your roots)
Click here to see answer by richwmiller(17219)

Question 253136: How do you factor 3x squared + 31x + 36
Click here to see answer by Alan3354(69443)

Question 253136: How do you factor 3x squared + 31x + 36
Click here to see answer by Greenfinch(383)

Question 250036: what is (x-3)^2+4
Click here to see answer by Nikki456(9)

Question 253222: write an equation of a quadratic function in standard form that has one zero of: 7-(radical 3)
Click here to see answer by drk(1908)

Question 253227: state all the values of k that would make the following have imaginary roots: x^2-9x+k=0
please show work
Click here to see answer by drk(1908)

Question 253227: state all the values of k that would make the following have imaginary roots: x^2-9x+k=0
please show work
Click here to see answer by richwmiller(17219)

Question 253264: What is the optimal value of this function: y=0.5x^2+2x+3
Click here to see answer by jim_thompson5910(35256)

Question 253261: Tim kicks a ball off the ground. After t seconds, its height, h (in feet), is given by the formula h + -16t^2 + 64t. What is the maximum height reached by the ball?
Click here to see answer by Greenfinch(383)

Question 253267: What is the optimal value of this function: y=-0.5x^2+2x+3
Click here to see answer by jim_thompson5910(35256)

Question 253267: What is the optimal value of this function: y=-0.5x^2+2x+3
Click here to see answer by Alan3354(69443)

Question 253299: Which statement must be true if a parabola represented by the equation y = ax^2 + bx + c does not intersect the x-axis?
b^2 � 4ac = 0
b^2 � 4ac < 0
b^2 � 4ac > 0, and b^2 � 4ac is a perfect square.
b^2 � 4ac > 0, and b^2 � 4ac is not a perfect square
Click here to see answer by drk(1908)

Question 253326: How do you complete the square for the function: h=-4.9t^2+24.5t+6
Click here to see answer by richwmiller(17219)

Question 253340: i need help in this homework because i am taking geometry and i forget about algebra if u can help me please what are the steps in the solution for this given equation?
5(4+x)=32-x
20+5x=32-x
20+5x+x=32-x+x
20+6x=32+0
20+6x=32
6x=12
x=2
thanks
Click here to see answer by Edwin McCravy(20054)

Question 253341: How do you complete the square for the function: y=-0.5x^2+2x+3
Click here to see answer by Greenfinch(383)

Question 253350: state all the values of k that would make the following have imaginary roots: x^2-9x+k=0
please show work
Click here to see answer by palanisamy(496)

Question 253412: A sport store sells about 50 mountain bikes per month at a price of $220 each. For each $20 decrease in price, about 10 more bikes per month are sold. Write a quadratic function in standard form that models the revenue from bike sales. What price produces the maximum revenue?
Click here to see answer by richwmiller(17219)

Question 253382: solve:
Click here to see answer by Nikki456(9)

Question 253454: if a/b = c and x/a = c then a =
(A) x+b (B) � xb (C)�√xb D) �√x+b e) (x+b)^2
Click here to see answer by palanisamy(496)

Question 253497: an emergency flare is fired from a vehicle.its height ,h metres,is given by h(t)= -5t^2+35t+50,where t is the time in seconds. what is the maximum height reached by the flare and how long does it take to reach the maximum height? How long does it take the flare to hit the ground? i got the height at 85m
Click here to see answer by richwmiller(17219)

Question 253500: 3x-1 over x-8 subtract -4 < 0 and the sign has the line under it

3x^2=4x-11
Click here to see answer by richwmiller(17219)

Question 253500: 3x-1 over x-8 subtract -4 < 0 and the sign has the line under it

3x^2=4x-11
Click here to see answer by solver91311(24713)

Question 253501: sketch the graph of f(x)=3(x-1)(x+4), state the x-intercepts and the co-ordinates of the vertex.
Click here to see answer by richwmiller(17219)

Question 253700: how to solve a quadratic equation for x=2 and x=5
Click here to see answer by richwmiller(17219)

Question 253817: express the function f(x)=4x^2-12x +5 in factored form
Click here to see answer by drk(1908)

Question 253817: express the function f(x)=4x^2-12x +5 in factored form
Click here to see answer by richwmiller(17219)

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, 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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, 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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