Questions on Algebra: Quadratic Equation answered by real tutors!

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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)

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(4012)

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(13828)

Question 389143: write an equation in standard form with roots -4,10
Click here to see answer by nerdybill(6963)

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

Click here to see answer by Fombitz(13828)

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(10682)

Question 389249: h(t)= 16t² + 16t + 480
Click here to see answer by Fombitz(13828)

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(10682)

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(10682)

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(5390)

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(15667)

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)

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(16897)

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(6527)

Question 389700: solved the equation in standard form
x^2 - 3x - 4 = 0
Click here to see answer by ewatrrr(10682)

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(2048)

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)

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(30993)

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(30993)

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(10682)

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(6648)

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(4012)

Question 390184: what is the quadretic solution of 3x^2-48=o
Click here to see answer by solver91311(16897)

Question 390292: A square lawn is surrounded by a concrete walkway that is 2.0m wide, as shown in the diagram. If the area of the walkway equals the area of the lawn, what are the dimensions of the lawn? Round your answer to the nearest tenth of a meter.
Click here to see answer by Alan3354(30993)

Question 390275: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, .
Given numbers: -sqrt3, 3sqrt3
Click here to see answer by ankor@dixie-net.com(15667)

Question 390276: Solve.

Click here to see answer by nerdybill(6963)

Question 390276: Solve.

Click here to see answer by richard1234(5390)

Question 390358: Find two consecutive even integers such that the sum of their squares is 52
Click here to see answer by user_dude2008(1861)

Question 390358: Find two consecutive even integers such that the sum of their squares is 52
Click here to see answer by richard1234(5390)

Question 390387: My question is a quadratic equation: 8x+27=5x. I tried to solve by subtracting 8x by 5x. the 3x +27=0. I subtracted 27 and got 3x= -27. After that I got 3x= -27. My answer was x= -9. I am unsure whether this is the right method or if this is right?
My name is Joe. I'm in the 9th grade/Geometry Honors
Click here to see answer by richard1234(5390)

Question 390357: Find 3 consecutive integers such that the square of the first, added to the last, is 8
Click here to see answer by ptaylor(2048)

Question 390123: Tickets to a school dance cost $5.00, and the projected attendance is 300 people. For every $0.50 increase in the ticket price, the dance committee projects that attendance will decrease by 20. What ticket price will generate $1562.50 in revenue?
Click here to see answer by ankor@dixie-net.com(15667)

Question 390472: find the second root of the quadratic equation x^2 + 9x + k = 0 if one root is -2.
Click here to see answer by stanbon(57422)

Question 390472: find the second root of the quadratic equation x^2 + 9x + k = 0 if one root is -2.
Click here to see answer by richard1234(5390)

Question 390510: 3x^2-7x-20 in vertex form
Click here to see answer by robertb(4012)

Question 390614: does the equation below cross the x-axis twice?

Click here to see answer by ewatrrr(10682)

Question 390713: for the following equation, state the value of the discriminant and then describe the nature of the solutions 18x^2+10x+14=0
Click here to see answer by jim_thompson5910(28598)

Question 390713: for the following equation, state the value of the discriminant and then describe the nature of the solutions 18x^2+10x+14=0
Click here to see answer by solver91311(16897)

Question 390751: how do u change 22/25 in to a decimal

Click here to see answer by Alan3354(30993)

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