Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1003557: Factor 15m^3n +20mn^2 -10m^2n
Click here to see answer by addingup(3677)

Question 1003557: Factor 15m^3n +20mn^2 -10m^2n
Click here to see answer by smithsac(2)

Question 1003593: Parallel processing is the simultaneous use of more than one computer to run a program. Suppose one computer, working alone, takes 16 h longer than a second computer to run a program. After both computers work together for 1 h, the faster computer crashes. The slower computer continues working for another 14 h before completing the program. How long would it take the faster computer, working alone, to run the program?
Click here to see answer by josmiceli(19441)

Question 1003805: Find (g compose f)(x)and f compose g)(x)for the given functions f and g.
f(x) = x + 7, g(x) = 1/x
(g compose f)(x)=
(f compose g)(x)=
Click here to see answer by Edwin McCravy(20055)

Question 1003803: Use the method of completing the square to find the standard form of the quadratic function.
f(x) = x^2 + 6x − 1
State the vertex and axis of symmetry of the graph of the function.
y=
axis of symmetry x=
vertex(x, y)=

Click here to see answer by Edwin McCravy(20055)

Question 1003804: Consider the point P(6, −2).
(a) Plot the image of the point with respect to the y-axis.
(b) Plot the image of the point with respect to the x-axis.
(c) Plot the image of the point with respect to the origin.

Click here to see answer by MathLover1(20849)

Question 1003851: the area of a triangle is 30 in. The base of the triangle measures 2in more than twice the height of the triangle. Find the measures of the base and height
Click here to see answer by Boreal(15235)

Question 1003886: totally stumped on how to solve this problem:

Click here to see answer by Edwin McCravy(20055)

Question 1003886: totally stumped on how to solve this problem:

Click here to see answer by mananth(16946)

Question 1003882: I need to solve this:
x/x-5 + 4/x+5 = 50/x^2-25

the / should be ____ between them.
Click here to see answer by richard1234(7193)

Question 1003918: What are all the zeros of this function? y= x^2(3x+2)^3(x-1)
Click here to see answer by jim_thompson5910(35256)

Question 1003958: how can i solve X squared - 4X - 2. i have failed to find factors of 2X squared that will result in 4X.
e.g. this is what i tried.
X squared times -2 i get -2Xsquared
but the factors i am getting are not resulting into 4X when i add or subtract them
please help
Click here to see answer by Theo(13342)

Question 1004369: X^2+8x+12=0
Click here to see answer by fractalier(6550)

Question 1004485: I know how to convert standard form into vertex form.
y=3x^2-6x+1
Please show with all steps. Thanks in advance.
Click here to see answer by josgarithmetic(39617)

Question 1004621: Assume that the given function has an inverse function.
Given f(9) = 2, find f^−1(2).
f^ −1(2)=

Click here to see answer by richard1234(7193)

Question 1004622: Assume the given function has an inverse function.
Given h^−1(−2) = −3, find h(−3).
h(−3) =

Click here to see answer by richard1234(7193)

Question 1004626: Write the equation in its exponential form.
log5 125 = 3
Click here to see answer by fractalier(6550)

Question 1004625: Write the equation in its exponential form.
6 = log(1,000,000)

Click here to see answer by fractalier(6550)

Question 1004659: A cup of coffee is heated to 180�F and placed in a room that maintains a temperature of 75�F. The temperature of the coffee after t minutes is given by
T(t) = 75 + 115e^−0.042t.
(a) Find the temperature, to the nearest degree, of the coffee 30 minutes after it is placed in the room.
=�F
(b) Determine when, to the nearest tenth of a minute, the temperature of the coffee will reach 130�F.
=min
Click here to see answer by josmiceli(19441)

Question 1004663: Use synthetic division to divide the first polynomial by the second.
5x^3 + 6x^2 − 8x + 1, x − 5

Click here to see answer by josgarithmetic(39617)

Question 1004663: Use synthetic division to divide the first polynomial by the second.
5x^3 + 6x^2 − 8x + 1, x − 5

Click here to see answer by MathTherapy(10552)

Question 1004809: Find a quadratic equation given that it has the following solutions: y=1/2, y=-4
Click here to see answer by josgarithmetic(39617)

Question 1004992: High school A = 14 vans and 5 buses with 503 students.
High school B = 1 van and 7 buses with 388 students.
Each van and each bus carried the same number of students. Find the number of students in each van and in each bus.
I have written these equation.I dont know if they are right.
14v + 5b = 503
1v + 7b = 388
Please and thank you.
Click here to see answer by stanbon(75887)

Question 1005107: Use second differences to show that the function f(x)=3x^-1 is quadratic
Click here to see answer by Alan3354(69443)

Question 1005372: Your company uses the quadratic model y = -4.5x2 + 150x to represent the average number of new customers who will be signed on (x) weeks after the release of your new service. How many new customers can you expect to gain in week 18?
Click here to see answer by stanbon(75887)

Question 1005442: 1. What is the maximum height that a basketball will have if thrown up into the air from a height of six feet, with an initial speed of 20 feet per second? (Must use quadratic formula).

2. After how many seconds does the basketball hit the ground? (Must solve by completing the square)
Thank you anyone for helping me.
Click here to see answer by rothauserc(4718)

Question 1005463: Using the formula h=-1/2gt^2+v(0)t+h(0) (the zero in the parens is lower/small beneath the letter) and g= gravitational constant and v = upward velocity from a starting height of h.
1a. What is the height after three seconds of a penny dropped from the roof of the a tall building about 1250 feet tall?
1b. After how many seconds does the penny hit the ground?
2. What is the height after three seconds of a ball thrown from the roof of a building about 495 feet tall and is tossed upwards with a velocity of 10m/s?
2b. After how many seconds does it hit the ground?
Thanks in advance. I think I have the answers but want to check the work done.
Click here to see answer by KMST(5328)

Question 1005533: Find two numbers whose sum is 56 and whose product is as large as possible. [Hint: Let x and 56-x be the two positive numbers. Their product can be described by the function f(x)=x(56-x).]
Please Help.
Click here to see answer by stanbon(75887)

Question 1005720: Use the table and plot points to graph the piecewise-defined function.
f(x)= {x^2 if x<0
----> {-x-3 ifx>=0
-Fill out the table-
x | y
_____
Click here to see answer by Fombitz(32388)

Question 1005529: P and Q each stand for whole numbers.
P+Q= 1000
P is 150 greater than Q.

Click here to see answer by fractalier(6550)

Question 1005804: one root of the equation 2x2-x+c=0 is double the other root. find c
Click here to see answer by josgarithmetic(39617)

Question 1005804: one root of the equation 2x2-x+c=0 is double the other root. find c
Click here to see answer by MathLover1(20849)

Question 1005828: find two numbers whose difference is 13 and whose squares when added together yield a minimum
Click here to see answer by ikleyn(52781)

Question 1005848: one root if the equation 2x2-x+c=0 is double the other root. find c
Click here to see answer by josgarithmetic(39617)

Question 1005848: one root if the equation 2x2-x+c=0 is double the other root. find c
Click here to see answer by MathTherapy(10552)

Question 1005954: Solve the equation 5(x2−20) = 2x(3+x)−40,
giving your answers to 5 decimal places
Click here to see answer by Alan3354(69443)

Question 1006078: The sides of a right-angled triangle are X cm, (x+1) cm and (x+3) cm. Show that and solve this equation to find the lengths of the sides of the triangle. Give your answers correct to two decimal places.
Click here to see answer by josgarithmetic(39617)

Question 1006079: what is the maximum value of 3x^2 + 7x - 2 if -3 is less than or equal to x, which is less than or equal to 0
Click here to see answer by josgarithmetic(39617)

Question 1006079: what is the maximum value of 3x^2 + 7x - 2 if -3 is less than or equal to x, which is less than or equal to 0
Click here to see answer by MathTherapy(10552)

Question 1006169: How do you solve by hand?
h(t)= -16t^2 +20t +5
Click here to see answer by richard1234(7193)

Question 1006170: We know that energy is released by the sun. The fusion cycle that generates this energy involves hydrogen nucleus is about 1.7 x 10^-15m, but the diameter of the actual atom of hydrogen is about 140,000 times that amount. Represent the diameter of the whole atom using exponential notation
Click here to see answer by fractalier(6550)

Question 1006195: Solve the given problem releated to continuous compounding interest.
How long will it take $1,400 to triple if it is invested at an annual interest rate of 5.3% compounded continuously? Round to the nearest year.
Click here to see answer by Boreal(15235)

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