Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 388200: Referring to the figure, evaluate the expression shown when a = 3, b = 7, c = 2
Sqrt b^2-4ac

Click here to see answer by Fombitz(32388) About Me 

Question 388199: The revenue from selling x units of a product is given by y = -0.0002x2 + 20x. How many units must be sold in order to have the greatest revenue? (Find the x-coordinate of the vertex of the parabola.)


Click here to see answer by stanbon(75887) About Me 

Question 388217: can you please help me to solve this problem?
A typist would require 45 hours to type of manuscript. A second typist, who takes 2 min. more to each page, would require 60 hrs. How many pages of manuscript are there and how long per page does it take each typist?

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

Question 388245: What is the correct equation for the following:
Group goes to show, total ticket price $720, 4 people drop out, each ticket goes up $2. What is new ticket price?
My equation was 720/x + 720/(x-4) = 2, but I don't think that is correct!
Thanks!

Click here to see answer by edjones(8007) About Me 
Question 388245: What is the correct equation for the following:
Group goes to show, total ticket price $720, 4 people drop out, each ticket goes up $2. What is new ticket price?
My equation was 720/x + 720/(x-4) = 2, but I don't think that is correct!
Thanks!

Click here to see answer by rapaljer(4671) About Me 

Question 388353: x^2+32x-144

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

Question 388366: how do you factor 3x^2-4x+7?
Click here to see answer by Edwin McCravy(20055) About Me 
Question 388366: how do you factor 3x^2-4x+7?
Click here to see answer by checkley79(3341) About Me 

Question 388218: here is another tricky question.

On a certain day two inspectors, A and B, employed by a factory, were inspecting a lot of manufactured articles. In the morning A ha inspected 1500 articles before B started in. during the remainder of the morning they inspected 4000 more, A working 4 hours altogether. In the afternoon A worked 4 hrs. and B 2 hrs., in which time they inspected 5200 articles. Find the average number of articles that each inspected per hour and the number of hrs. that B worked in the morning.

Click here to see answer by robertb(5830) About Me 

Question 388528: how do i solve this equation X6+5=0

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

Question 388399: I need help with the following quadratic equation:
1.Suppose you are an event coordinator for a large performance theater. One of the hottest new Broadway musicals has started to tour and your city is the first stop on the tour. You need to supply information about projected ticket sales to the box office manager. The box office manager uses this information to anticipate staffing needs until the tickets sell out. You provide the manager with a quadratic equation that models the expected number of ticket sales for each day x. ( is the day tickets go on sale).
Tickets=-0.2^2+12x+11

a. Does the graph of this equation open up or down? How did you determine this?

b. Describe what happens to the tickets sales as time passes.
c. Use the quadratic equation to determine the last day that tickets will be sold.
Note. Write your answer in terms of the number of days after ticket sales begin.

d. Will tickets peak or be at a low during the middle of the sale? How do you know?

e. After how many days will the peak or low occur?

f. How many tickets will be sold on the day when the peak or low occurs?

g. What is the point of the vertex? How does this number relate to your answers in parts e. and f?

h. How many solutions are there to the equation ? How do you know?
-0.2x^2+12x+11=0?
i. What do the solutions represent? Is there a solution that does not make sense? If so, in what ways does the solution not make sense?
It would be nice to have this broken down so I can understand it.
Thank so much for your time. :)

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

Question 388219: another one...
The medians of the triangle are 6, 8, and 10. Find the sides.

Click here to see answer by Edwin McCravy(20055) About Me 

Question 388765: S^2+S+6
then how to solve in (S-S1)(S-S2)

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

Question 388764: S^2+S+6
Click here to see answer by Alan3354(69443) About Me 

Question 387545: give exact and approximate solutions to three decimal places for x^2+4x+4=1
Click here to see answer by scott8148(6628) About Me 

Question 388820: Which equation represents the line that passes through the points (-4,-1) and (-1,-7)?
Click here to see answer by rfer(16322) About Me 

Question 388819: Which equation could best be used to determine the value of f(3)for the function f(x)=2x+4?
Click here to see answer by stanbon(75887) About Me 

Question 388817: Please help me solve this problem thank you! Which Expression is equivalent to 5x{x+3)-2(x^2+3x-4)?
Click here to see answer by stanbon(75887) About Me 

Question 388895: Determine the roots of √2x2 +3x+√2=0 using the method of completing squares
Click here to see answer by stanbon(75887) About Me 

Question 386806: The perimeter of a rectangle is 74 cm. The length of the rectangle is 5 cm less than twice the width. Find the dimensions of the rectangle.
Click here to see answer by gwendolyn(128) About Me 

Question 389016: Find the value of alpha such that the quardratic equation(alpha-3)x square+(alpha-3)x+4=0,has equal roots?

The given answer is '4'but I don't know to solve it...

Click here to see answer by robertb(5830) About Me 

Question 389071: please i need help!

Solving the formula p=2L+2w for w is not equivalent to which equation?

Click here to see answer by Fombitz(32388) About Me 

Question 389143: write an equation in standard form with roots -4,10
Click here to see answer by nerdybill(7384) About Me 

Question 389223: Find the solutions(s) to the equation
4(4^x)+127(2^x)=32

Click here to see answer by Fombitz(32388) About Me 

Question 389250: Each year a school’s booster club holds a dance to raise funds. In the past, the profit the club makes after paying for the bank and other costs has been modeled by the function P(t)= -16t² + 800t – 4000, where t represents the ticket price in dollars.
a. What ticket price gives the maximum profit?
b. What is the maximum profit?
c. What ticket price(s) would generate a profit of $5424?

Click here to see answer by ewatrrr(24785) About Me 
Question 389250: Each year a school’s booster club holds a dance to raise funds. In the past, the profit the club makes after paying for the bank and other costs has been modeled by the function P(t)= -16t² + 800t – 4000, where t represents the ticket price in dollars.
a. What ticket price gives the maximum profit?
b. What is the maximum profit?
c. What ticket price(s) would generate a profit of $5424?

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

Question 389249: h(t)= ­16t² + 16t + 480
Click here to see answer by Fombitz(32388) About Me 

Question 389256: Jason jumped off a cliff into the ocean while vacationing with some friends. His height as a function of time could be modeled by the function h(t)= ­16t² + 16t + 480, where t is the time in seconds and h is the height is feet.
a. How long did it take for Jason to reach his maximum height?
b. What was the highest point that Jason reached?
c. Jason hit the water after how many seconds?
d. Sketch the Problem labeling the variables involved and relevant information (y-intercept, x-intercept, vertex, axis symmetry).

Click here to see answer by ewatrrr(24785) About Me 

Question 389257: Hi,
I was wondering if there is a shortcut to the quadratic equation -b+ or - Sqrt of b^2 -4ac all over 2a for specific equations like primes or something like that. Thanks

Click here to see answer by ewatrrr(24785) About Me 

Question 389336: a man jumps off a cliff into water, given the function h(t) = -16t^2+16t+480 where t = time in seconds and h = height in feet At what height did the man jump? What was the the highest point he reached? and how many secs did he take to hit the water?

Click here to see answer by richard1234(7193) About Me 
Question 389336: a man jumps off a cliff into water, given the function h(t) = -16t^2+16t+480 where t = time in seconds and h = height in feet At what height did the man jump? What was the the highest point he reached? and how many secs did he take to hit the water?

Click here to see answer by robertb(5830) About Me 

Question 389446: Carlos owns a vending machine in a bowling alley. He currently sells 600 cans of soda per week at $1.25 per can. He estimates that he will lose 40 customers for every increase in the price and gain 40 customers for every $0.05 decrease in the price.
1. Write a quadratic equation for the price increase
2. If Carlos lowers the price, what price should he charge in order to maximize his income?

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

Question 386816: The perimeter of a rectangle is 40m. If the width is increased by twice the length, the result is 32m. Find the length and width of the rectangle.
Click here to see answer by gwendolyn(128) About Me 

Question 389681: h(t)= c-(d-4t)^2
At time t=0, a ball was thrown upward from an initial height of 6 feet. Until the ball hit the ground, its height, in feet, after t seconds was given by the function h above, in which c and d are positive constants. If the ball reached its maximum height of 106 feet at time t= 2.5, what was the height, in feet, of the ball at time t = 1?

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

Question 389468: Y+3=(-5/2)(x-5)
Y=(5/3)x^2+5x-12)
How do I solve the above system using an algebraic method. I also need to verify my results by graphing the system. I also have to find the area bounded by the system.

Click here to see answer by lwsshak3(11628) About Me 

Question 389700: solved the equation in standard form
x^2 - 3x - 4 = 0

Click here to see answer by ewatrrr(24785) About Me 

Question 389735: If x+2 is a factor of x^2+bx+10, what is the value of b?

Click here to see answer by ptaylor(2198) About Me 

Question 389766: A garden measuring 12 meters by 16 meters is to have a pedestrian pathway installed around it, increasing the total area to 285 square meters. What will be the width of the pathway?
Click here to see answer by scott8148(6628) About Me 

Question 389810: A toy rocket is launched from the top of a mountain and falls on the ground below. The height of the rocket above the ground is modeled by the relation H= -5t 2 + 20t + 105 where H is the height in meters and t is the elapsed time in seconds. How high is the mountain?
Click here to see answer by Alan3354(69443) About Me 
Question 389810: A toy rocket is launched from the top of a mountain and falls on the ground below. The height of the rocket above the ground is modeled by the relation H= -5t 2 + 20t + 105 where H is the height in meters and t is the elapsed time in seconds. How high is the mountain?
Click here to see answer by stanbon(75887) About Me 

Question 389838: Find a quadratic equation with integral coefficients whose roots are the squares of the roots of 2x^2 - 3x - 5 = 0 (show your solution)
Click here to see answer by Alan3354(69443) About Me 

Question 389878: which quadratic equation has roots 3 + i and 3 - i ?
x^2 - 6x + 10 = 0
x^2 - 6x - 10 = 0
x^2 - 6x + 8 = 0
x^2 - 6x - 8 = 0

Click here to see answer by ewatrrr(24785) About Me 

Question 390023: A rectangle field is going to be completely enclosed by 100m of fencing. Determine the dimensions of the field that will result in an area of 575m square. Round your answer to the nearest tenth of a metre.
Click here to see answer by MathLover1(20849) About Me 

Question 390063: I'm trying to find how to fill in the variables to the quadratic formula for
3x^2-48=0
I believe a is 3 and 38 is c, but what is b?
Thanks.

Click here to see answer by robertb(5830) About Me 
Question 390063: I'm trying to find how to fill in the variables to the quadratic formula for
3x^2-48=0
I believe a is 3 and 38 is c, but what is b?
Thanks.

Click here to see answer by ewatrrr(24785) 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