Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 276032: Tickets=-0.2x^2+12x+11
Does the graph of this equation open up or down? How do you know?

Click here to see answer by richwmiller(17219) About Me 

Question 276030: how many solutions are there to this equation -0.2x^2+12x+11=0 and how do you know?
Click here to see answer by richwmiller(17219) About Me 

Question 275837: f(x)4x2 + 4x - 3
I need help to find the intercepts, the vertex and the maximun or minimun.
I know I need to use the quadratic formula, but I don't know how to apply it to find these three points.
Thank you for your help.
Martha

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

Question 276067: What is the greatest common factor of the terms 48s^5t^3u^2 and 40s^3tu^4?
Click here to see answer by stanbon(75887) About Me 

Question 276243: A boat weighs 1500 lb more than its motor and 1900 lb more than its trailer. Together the boat and motor weigh five times as much as the trailer. The answer is 2666 &2/3 lb, HOW?!?!
Click here to see answer by solver91311(24713) About Me 

Question 276259: please help me solve this equation +2x%5E2%2B15x-8=0+
Click here to see answer by checkley77(12844) About Me 
Question 276259: please help me solve this equation +2x%5E2%2B15x-8=0+
Click here to see answer by solver91311(24713) About Me 

Question 276349: what is the answer of square root of 1 over 5
Click here to see answer by edjones(8007) About Me 

Question 276483: For y=8+2x-x^2, what is the maximum value of y?
Thankyou in advance.

Click here to see answer by checkley77(12844) About Me 

Question 276593: I find this quite difficult, though I am gaining some level of understanding. I am unsure how to solve for the following 2 quadratic equations Please help
Thanks

1. x2 – 2x – 13 = 0
2. 2x2 – 3x – 5 =0
These are the steps I need to take, just unsure how
a. move the constant term to the right side of the equation
b. multiply each term in the equation by four times the cofficient of the x2 term
c. square the coefficient of the original x term and add it to both sides of the equation
d. take the square root of both sides
e. set the left side of the equation equal to the positive square root of the number on the right side and solve for x
f. set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x

Click here to see answer by richwmiller(17219) About Me 
Question 276593: I find this quite difficult, though I am gaining some level of understanding. I am unsure how to solve for the following 2 quadratic equations Please help
Thanks

1. x2 – 2x – 13 = 0
2. 2x2 – 3x – 5 =0
These are the steps I need to take, just unsure how
a. move the constant term to the right side of the equation
b. multiply each term in the equation by four times the cofficient of the x2 term
c. square the coefficient of the original x term and add it to both sides of the equation
d. take the square root of both sides
e. set the left side of the equation equal to the positive square root of the number on the right side and solve for x
f. set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x

Click here to see answer by solver91311(24713) About Me 

Question 276484: If the graph of y=2x^2-kx+3 touches the x-axis then what are the possible values of k?
Please keep answer in surd form.
Thanks in advance.

Click here to see answer by user_dude2008(1862) About Me 

Question 276480: Please help me answer this question.
What are the linear factors of 12x^2+7x-12?
The answer given is 4x-3 and 3x+4.
I'm just not too sure how to get to this answer.

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

Question 276613: Find the equation of the line with the indicated slope and y intercept. write the final answer in the standard form Ax+By=C
Click here to see answer by user_dude2008(1862) About Me 

Question 276918: Help. I'm totally perplexed by the question: An angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after 6 seconds is given by S(t) = -16t^2 -32t +128.
What is the height after 1 second? How long does it take for the wrench to reach the ground?

Click here to see answer by stanbon(75887) About Me 
Question 276918: Help. I'm totally perplexed by the question: An angry construction worker throws his wrench downward from a height of 128 feet with an initial velocity of 32 feet per second. The height of the wrench above the ground after 6 seconds is given by S(t) = -16t^2 -32t +128.
What is the height after 1 second? How long does it take for the wrench to reach the ground?

Click here to see answer by Earlsdon(6294) About Me 

Question 276999: Put the equation 5x^2-10x-2 in turning point form a(x-h)^2+k, by completing the square.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 277006: What is 6x^2-8xy-8y^2 equal to?
My book states the answer to be (3x+2y)(2x-4y), how do I get to this answer?

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

Question 277032: trying to solve a velocity equation where s=4.9t^2+Vot

Velocity = Vo = 20m/s
Height = s = 158.4m
time = t = which is what we are solving for
so...158.4=4.9t%5E2+%2B+20t
I got as far as 4.9t^2 + 20t - 158.4=0

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

Question 277009: FACTOR COMPLETELY X^2-6X=0
Click here to see answer by edjones(8007) About Me 

Question 277008: FACTOR COMPLETELY x^2+6=-5
Click here to see answer by edjones(8007) About Me 

Question 277007: FACTOR COMPLETELY 16X^2+9Y^2
Click here to see answer by edjones(8007) About Me 

Question 277005: FACTOR COMPLETELY T^2-144
Click here to see answer by edjones(8007) About Me 

Question 277002: FACTOR COMPLETELY 2C^2-5CD-42D^2
Click here to see answer by edjones(8007) About Me 

Question 277084: FACTOR COMPLETELY X^2=64
Click here to see answer by checkley77(12844) About Me 

Question 277083: FACTOR COMPLETELY X^3=27
Click here to see answer by checkley77(12844) About Me 
Question 277083: FACTOR COMPLETELY X^3=27
Click here to see answer by Alan3354(69443) About Me 

Question 277103: what are the coordinates of the vertex of
p=-1/2s^2+280s-1200

Click here to see answer by Alan3354(69443) About Me 

Question 277147: 1) x squared - 4x + 5 = 0
2) C squared + 6c + 8 = 0
3) a squared - 2a = -1
4) n squared - 7n = -10

Click here to see answer by CharlesG2(834) About Me 

Question 277151: how do u solve this equation? 3x%5E2%2B5x-2=0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 276998: What are the coordinates of the turning point of the graph with the equation y=3x^2+6x-1?
Click here to see answer by Alan3354(69443) About Me 

Question 277181: This is an application problem from a chapter on the quadratic formula.
The diagonal of a square is 2 m longer than a side. Find the length of a side.
Thank you.

Click here to see answer by solver91311(24713) About Me 

Question 277230: All of these need to be factored, please show your work. Because I don't understand how to do it.
112v ^3+ 34v ^2 - 6v
90s^2-195sw+100w ^2
p^2(x-r)-64(x-r)

Click here to see answer by JBarnum(2146) About Me 

Question 277211: What is the solution to (x+7)^4-5(x+7)^2=-6
Click here to see answer by jim_thompson5910(35256) About Me 

Question 277318: My son has 2 problems that seem impossible.
(1) 1/(x-1)-(2(3x+1)/5x-2)+1/(1-x)=0
(2)(7x+5)/6-(5(x-1))/4=1/3+8/(1-x)
Thank you for your help

Click here to see answer by stanbon(75887) About Me 
Question 277318: My son has 2 problems that seem impossible.
(1) 1/(x-1)-(2(3x+1)/5x-2)+1/(1-x)=0
(2)(7x+5)/6-(5(x-1))/4=1/3+8/(1-x)
Thank you for your help

Click here to see answer by mananth(16946) About Me 

Question 277224: I would really just appreciate if someone can guide me an the formulas to use. This is credit, and we havent done this chapter. Much appreciated...
A miniature rocket is launched so that its height h in meters after t seconds is given by the equation h = -4.9t^2 + 19.6t + 10
a. draw a graph of the equation
b. how high is it after 3 sec?
c. what is the max height the rocket will attain?
d. How long after the launch will the rocket hit the ground?

Click here to see answer by Monarita(1) About Me 
Question 277224: I would really just appreciate if someone can guide me an the formulas to use. This is credit, and we havent done this chapter. Much appreciated...
A miniature rocket is launched so that its height h in meters after t seconds is given by the equation h = -4.9t^2 + 19.6t + 10
a. draw a graph of the equation
b. how high is it after 3 sec?
c. what is the max height the rocket will attain?
d. How long after the launch will the rocket hit the ground?

Click here to see answer by Alan3354(69443) About Me 

Question 277566: a circle with a radius greater than 9 and area of A=3.14(xsquared-18x+81)how do I use factoring to find the radius of the circle?
Click here to see answer by stanbon(75887) About Me 
Question 277566: a circle with a radius greater than 9 and area of A=3.14(xsquared-18x+81)how do I use factoring to find the radius of the circle?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 277565: 84=xsquared -17x+66 what are the possible values of x? with steps please
Click here to see answer by stanbon(75887) About Me 

Question 277104: I'm stuck on this question. Could you please help me figure it out?
x/x squared-16 minus 4/x squared + 5x + 4

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

Question 277635: This is an application problem int he quadratic equation chapter.
Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
I cannot figure out how to begin on this, so I really appreciate your help.

Click here to see answer by scott8148(6628) About Me 

Question 277656: I have searched everywhere reading everything... I do not know how to turn this problem into a quadratic equation. Sammy takes 5 hours longer to complete 300 lines of code than Martin. Together Sammy and Martin can complete the code in 6 hours. How long does it take each programmer to complete the code if they complete on their own. At what speed is each programming lines per hour
Click here to see answer by stanbon(75887) About Me 
Question 277656: I have searched everywhere reading everything... I do not know how to turn this problem into a quadratic equation. Sammy takes 5 hours longer to complete 300 lines of code than Martin. Together Sammy and Martin can complete the code in 6 hours. How long does it take each programmer to complete the code if they complete on their own. At what speed is each programming lines per hour
Click here to see answer by edjones(8007) About Me 

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