Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1087248: Solve the equation by factoring. Show the complete solution.
(x^2+4x-12=0
Click here to see answer by MathLover1(20849)

Question 1087264: The weight of an object varies inversely with the square of the distance to the center of the Earth. At sea level (6,400 kilometers from the Earth's center) an astronaut weighs 100 kilos. Calculate the weight of the astronaut on a space vehicle located at 200 kilometers from the earth's surface.
Click here to see answer by Fombitz(32388)

Question 1087296: An object is 2,722 ft high. How long will it take it
falling freely, to reach the ground? Use the formula s = 16t2
Click here to see answer by jim_thompson5910(35256)

Question 1087297: Find a polynomial function of degree 3 with 3 and 1 as zeros.
Click here to see answer by Boreal(15235)

Question 1087297: Find a polynomial function of degree 3 with 3 and 1 as zeros.
Click here to see answer by Alan3354(69443)

Question 1087302: Solve the inequality. Write your answer in interval notation. x2 - 6x - 7 < 0
Click here to see answer by MathLover1(20849)

Question 1087301: Solve the inequality. Write your answer in interval notation.
(x + 1)/((x + 5)(x - 2)) < or = 0
Click here to see answer by Fombitz(32388)

Question 1087387: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept of 1/6 and the x-intercept of 9/2, if the vertex is the point(9/2,0).
f(x)=
Click here to see answer by Fombitz(32388)

Question 1087388: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a y-intercept of 8 and the x-intercepts of 8 and -8, if the vertex and the y-inetercept are the same point.
f(x)=
Click here to see answer by htmentor(1343)

Question 1087389: quadratic function: g(x)=2x^2-8x
Find the intervals where function g is positive( enter in interval notation)
g(x)=>0 when x is in
Find the intervals where function g is negative (enter in interval notation)
g(x)<0 when x is in
Click here to see answer by MathLover1(20849)

Question 1087236: During a test flight, an aircraft flies from Sandy Land to White City and back to Sandy Land. The distance between Sandy Land and White City is 450 km and the total time taken for the whole journey is 5 hours and 30 minutes. Given that there is a constant wind blowing from Sandy Land to White City and that the speed of the aircraft in still air is 165km/h, find the speed of the wind. State the assumptions you have made to this problem.
Hint : Let the speed of the wind be x km/h.
Click here to see answer by jorel1380(3719)

Question 1087418: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a vertex at (-1/4,-1/6) and x-intercept of -3/4
Click here to see answer by MathLover1(20849)

Question 1087418: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has a vertex at (-1/4,-1/6) and x-intercept of -3/4
Click here to see answer by MathTherapy(10552)

Question 1087414: Find the standard form f(x)=a(x-h)^2+k of the quadratic function that has zeros of 1/5 and 9/5, and has it's vertex at the point (1,-1).
Click here to see answer by josgarithmetic(39617)

Question 1087386: Find the standard form f(x)=a(x-h)^2+k of the quadratic function zeros of 1/5 and 9/5, and it has a vertex at the point (1,-1).
f(x)=
Click here to see answer by josgarithmetic(39617)

Question 1087421: fill in all missing terms and select all missing descriptions. Simplify any fractions.
2w+2+3=19
2w+5=19
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 2
Divide both sides by 2
Combine like terms
2w= Subtract 5 from both sides
w= Divide both sides by 2

Click here to see answer by ikleyn(52780)

Question 1087444: My Homework question is:
fill in all missing terms and select all missing descriptions. Simplify any fractions.
2w+2+3=19
2w+5=19
These are not instructions I must pick one of the 5 choices for the following problem 2w+5= 19
Add 2 to both sides
Subtract 2 from both sides
Multiply both sides by 2
Divide both sides by 2
Combine like terms
2w=
( this is next to 2w) Subtract 5 from both sides
w=
( this is next to w=) Divide both sides by 2

I don't understand this math problem please help thank you

Click here to see answer by josgarithmetic(39617)

Question 1087469: I need help with these, if someone could explain them step-by-step, I would really appreciate it :)
1. 3x� - 48 = 0
2. x� = 36
3. p� - 50 = 0
Click here to see answer by MathLover1(20849)

Question 1087473: Explain step-by-step please.
3x^2 + 1 = 58
Click here to see answer by ikleyn(52780)

Question 1087472: Explain step-by-step please.
3x2 + 1 = 58
Click here to see answer by ikleyn(52780)

Question 1087494: I'm having issues trying to get this problem down pact, I dont know what im doing wrong. I have tried multiple times not getting the answer.

Dice. The random variable Y is the sum of the dice when two balanced dice are rolled. Its
probability distribution is as follows:
y 2 3 4 5 6 7 8 9 10 11 12
P(Y = y) 3 6
4
3 6
3
3 6
2
3 6
1
3 6
1
3 6
8
3 6
1
9
1
1 2
1
3 6
6
1 2
1
a. Find and interpret the mean of the random variable
b. Find the standard deviation of the random variable
c. Draw the probability histogram of the random variable.
Click here to see answer by Boreal(15235)

Question 1087493: I'm having issues trying to get this problem down pact, I dont know what im doing wrong.

Craps. In the game of craps, the player rolls two balanced dice. Thirty-six equally likely
outcomes are possible, as shown
A = event the sum of dice is 6
B = event the sum of dice is 10
C = event the sum of dice is 3
D = event the sum of dice is 5
E = event the sum of dice is 9
F = event the sum of dice is 4 and
a. Compute the probability of each of the six events.
b. Compute the probability the player wins on the first roll if the sum of the dice is a 5 or 9
c. Compute the probability the player loses on the first roll if the sum of the dice is a 3, 4
or 6

Click here to see answer by Boreal(15235)

Question 1087543: Can someone help me solve this Quadratic Equation by square root? If you could do it step-by-step I would appreciate but if it's too much work then it's okay, just don't bother.
3x� + 1 = 58
Also for this certain question my teacher has stated "(round your answers to the nearest hundredths place)".
Click here to see answer by ankor@dixie-net.com(22740)

Question 1087633: The area of a rectangular banner should be 6.75 m2. If the length is to be thrice the width, what are its dimensions?
Click here to see answer by 4419875(21)

Question 1087634: An object is launched into the air from a ledge 6 feet off the ground at initial vertical velocity of 96 feet per second. Its height H, in feet, at t second is given by the equation H = 16t2+96t+16. Find all the times t that the object is at a height of 160 feet off the ground.
Click here to see answer by ikleyn(52780)

Question 1087632: The local park measures 60 m by 50 m. Part of the park is torn up to install a sidewalk of uniform width about it, reducing the area of the park itself by 321 m2. How wide is the sidewalk?
Click here to see answer by rothauserc(4718)

Question 1087721: Solve the quadratic inequality. Write the solution set in interval notation. Show the complete solution.
𝑦2−17𝑦+70<0
Click here to see answer by ikleyn(52780)

Question 1087722: Solve the quadratic inequality. Write the solution set in interval notation. Show the complete solution.
𝑥2+9𝑥+13>−7
Click here to see answer by ikleyn(52780)

Question 1087720: An object is launched into the air from a ledge 6 feet off the ground at initial vertical velocity of 96 feet per second. Its height H, in feet, at t second is given by the equation H = 16t^2+96t+16. Find all the times t that the object is at a height of 160 feet off the ground.
Click here to see answer by ikleyn(52780)

Question 1087726: Solve the quadratic inequality. Write the solution set in interval notation and show the complete solution.
2𝑥^2≤5𝑥−2
Click here to see answer by josgarithmetic(39617)

Question 1087726: Solve the quadratic inequality. Write the solution set in interval notation and show the complete solution.
2𝑥^2≤5𝑥−2
Click here to see answer by ikleyn(52780)

Question 1087723: Solve the quadratic inequality. Write the solution set in interval notation. Show the complete solution.
𝑥(𝑥+1)>112−5𝑥
Click here to see answer by ikleyn(52780)

Question 1087730: Solve the equation by factoring, show the complete solution (step by step).
x^2+6x+9=0
Click here to see answer by josgarithmetic(39617)

Question 1087732: Solve the equation by factoring, show the complete solution (step by step).
x^2+25=0
Click here to see answer by josgarithmetic(39617)

Question 1087736: Solve the quadratic inequality. Write the solution set in interval notation.Please show your complete step by step solution.
y^2-17y+70<0

Click here to see answer by Theo(13342)

Question 1087735: Solve the equation by factoring and show the complete step by step solution.
x^2-2x+2=0
Click here to see answer by Theo(13342)

Question 1087733: Solve the equation by factoring and show the complete step by step solution.
x^2-x+4=0
Click here to see answer by ankor@dixie-net.com(22740)

Question 1087734: Solve the equation by factoring and show the complete step by step solution.
x^2-2x-8=0
Click here to see answer by MathLover1(20849)

Question 1087731: Solve the equation by factoring, show the complete solution (step by step).
5x^2=13x+6
Click here to see answer by KMST(5328)

Question 1087737: Solve the quadratic inequality. Write the solution set in interval notation.Please show your complete step by step solution.
x^2+9x+13>-7
Click here to see answer by ikleyn(52780)

Question 1087724: Solve the quadratic inequality. Write the solution set in interval notation. Show the complete solution.
𝑎2+3𝑎+2<−3(𝑎+2)
Click here to see answer by KMST(5328)

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