Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1059845: The product of two consecutive positive even numbers is 288. By forming and solving an equation, find the larger of the two numbers
Click here to see answer by MathTherapy(10551)

Question 1059986: What is the smaller solution?
x^2-17x-12
Click here to see answer by Alan3354(69443)

Question 1059999: A boat sails 30km at a uniform rate. If the rate had been 1 km/h more, the time of the sailing would have been 1h less. Find the rate of travel.
Click here to see answer by stanbon(75887)

Question 1059998: A trucker calculates that if he increased his average speed by 20km/h , he could travel his 800km route in 2.0h less time than usual. Find his usual speed.
Click here to see answer by Alan3354(69443)

Question 1059995: A truck travels 350km to a delivery point, unloads, and, now empty, returns to the starting point at a speed 350 km/h greater than on the outward trip. What was the speed of the outward trip if the total round-trip driving time was 14.4h ?
Click here to see answer by ikleyn(52775)

Question 1059997: An airplane flies 355 miles to city A . Then, with better winds, it continues on to cityB , 448 miles from A , at a speed 15.8 mi/h greater than on the first leg of the trip. The total flying time was 5.20h . Find the speed at which the plane travelled to city A .
Click here to see answer by ikleyn(52775)

Question 1060193: Complete the equation of the line whose y-intercept is (0,-1) and slope is 4.
Click here to see answer by Fombitz(32388)

Question 1060193: Complete the equation of the line whose y-intercept is (0,-1) and slope is 4.
Click here to see answer by Boreal(15235)

Question 1060197: For what value of p is the expression (x-p)^2+5 equivalent to the
expression x^2-14x+54?
A. −49
B. −7
C. 7
D. 49
Click here to see answer by ikleyn(52775)

Question 1060218: how do you solve 6x^2-19x-7=0 with the quadratic formula

Click here to see answer by josgarithmetic(39616)

Question 1060218: how do you solve 6x^2-19x-7=0 with the quadratic formula

Click here to see answer by Edwin McCravy(20054)

Question 1060243: Write a system of equations with one linear equation and one quadratic equation for which (2,6) is a solution.
Click here to see answer by Alan3354(69443)

Question 1060364: X^2-9x+?
Click here to see answer by Alan3354(69443)

Question 1060489: please help me solve this equation, I have to complete the square to solve the equation below

x^2+x=11/4
Click here to see answer by Fombitz(32388)

Question 1060489: please help me solve this equation, I have to complete the square to solve the equation below

x^2+x=11/4
Click here to see answer by Edwin McCravy(20054)

Question 1060415: I need your assistance to help find the quadratic function that models the data below please.
xI -3 -2 -1 0 1 2 3 4 5 6 7 8 9
-----------------------------------------------------------------------
yI 54 26 -8 0 2 14 36 68 110 162 224 296 378

I need help with this please. When I look at this all i'm seeing is a chart I don't know how I would work this out
Click here to see answer by rothauserc(4718)

Question 1060581: Jack & Jill charge $20 for a custom painted water pail. They currently sell 80 water pails a month. They estimate that for each $1 decrease in the cost of the pails, they could sell 15 more pails a month. What price will maximize Jack & Jill's income? If they charges this price, how much income should they expect?
Click here to see answer by josmiceli(19441)

Question 1060618: An object is thrown upward with a velocity of 48.0 m/s. When will it be 25.0 m above its initial position?
Note that g = 9.8 m/s2. Round to three decimal places. Give answers in increasing order.

Click here to see answer by Boreal(15235)

Question 1060594: Write and solve a quadratic equation. A right triangle has a hypotenuse of 105 inches. One leg is forty-two inches less than double the other leg. What is the length of the shorter leg? (Hint: a^2+b^2=c^2)
I just need help with this question. If you could show step by step that would be perfect thanks!
Click here to see answer by MathTherapy(10551)

Question 1060598: Write and solve an equation: in two hours, a motorboat can travel 8 miles down a river and return 4 miles back. If the river flows at 2 miles per hour, how fast can the boat travel in still water?
(If possible, can you show a step by step solution? I have a final coming up soon and this is a study guide question!)
Click here to see answer by josgarithmetic(39616)

Question 1060601: An arrow is shot vertically upward from a platform 40 feet high at a rate of 224 ft/s. This is modeled by the equation h=-16t^2+224t+40. When will the arrow hit the ground? (Round to three decimal places)
Click here to see answer by ankor@dixie-net.com(22740)

Question 1060769: A parabolic arch supports a bridge. The arch is 200 m wide at its base and 4 m tall in the middle.
a) Show this information on a graph by placing the vertex on the y-axis so that the x-axis represents the base of the arch
b) How high is a point on the arch that is 20 m horizontally from one end?
Click here to see answer by josgarithmetic(39616)

Question 1060805: Two pipes can fill a tank in 5 minutes if both are turned on. If only one is used, it would take 39 minutes longer for the smaller pipe to fill the tank than the larger pipe. How long will it take for the smaller pipe to fill the tank? (Round your answer to the nearest tenth.)
Click here to see answer by josgarithmetic(39616)

Question 1060819: Complete these ordered pairs for this equation.
(0, ), (2, ), (4, )3x + 2y = 6
Click here to see answer by josgarithmetic(39616)

Question 1060819: Complete these ordered pairs for this equation.
(0, ), (2, ), (4, )3x + 2y = 6
Click here to see answer by MathTherapy(10551)

Question 1060820: Complete these ordered pairs for this equation.
(0, ), (2, ), (4, )3x + 2y = 6
Click here to see answer by Alan3354(69443)

Question 1061041: I have a problem and I have a solution too but don't understand one of the steps.
This is the problem :
(Sqrt(2) � 1) is a root of x2 + bx + c = 0, where b, c ∈ ℤ. Find the value of b and the value of c and hence, find the other root.

Click here to see answer by josgarithmetic(39616)

Question 1061055: Solve the following equation using the quadratic formula: 125t^3 - 27 = 0
Click here to see answer by Alan3354(69443)

Question 1061142: write a quadratic equation having the given number as a solution.
2, only solution. Hint it must be a repeated solution?
Click here to see answer by Alan3354(69443)

Question 1061152: 2/3(x+5)-1=4-x
Click here to see answer by rfer(16322)

Question 1061152: 2/3(x+5)-1=4-x
Click here to see answer by MathTherapy(10551)

Question 1061056: One leg of a right triangle is 7cm shorter than the other leg. How long should be the shorter leg to ensure the hypotenuse is at least 13?
Click here to see answer by Cromlix(4381)

Question 1061054: A microbiologist found out that the number of microbes in a refrigerated food is given by n=20t^2-45t+240, for -2 <= t <= 14 and t is the temperature in Celsius. At what temperature will the number of bacteria be minimal? Show all work and rounfd to nearest tenth.
Click here to see answer by Cromlix(4381)

Question 1061223: two consecutive positive integers have a product of 240.find the integers.
the integers are ___
Click here to see answer by ikleyn(52775)

Question 1061237: the width of a rectangle is 6 ft less than the length. the area is 10 ft^2. find the length and the width
Click here to see answer by josgarithmetic(39616)

Question 1061293: I need a sample of how to solve x2+6x-16=0
I need a step by step process, as I do not understand

Click here to see answer by rfer(16322)

Question 1061293: I need a sample of how to solve x2+6x-16=0
I need a step by step process, as I do not understand

Click here to see answer by josgarithmetic(39616)

Question 1061293: I need a sample of how to solve x2+6x-16=0
I need a step by step process, as I do not understand

Click here to see answer by ikleyn(52775)

Question 1061364: Does this system of equations have one solution, no solutions, or an infinite number of solutions?
3x + y = 9
6x = 4 - 2y
Click here to see answer by ikleyn(52775)

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