Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 321055: 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).

a. Does the graph of this equation open up or down? How did you determine this? The graph down I determined this because it

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?

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?

Click here to see answer by stanbon(57984)

Question 321252: write a quadratic equation having the given numbers and solutions. -10 and -1. I don't think that this can be done with these given numbers. Help.
Click here to see answer by ankor@dixie-net.com(15747)

Question 321265: Solve for:
6x + x(x - 4)
Instructions: Simplify, type exact answers using radicals as needed, express numbers in terms of i and use a comma to separate answers.
Thank you!!
Click here to see answer by checkley77(12569)

Question 321264: Give exact and approximate solutions to three decimal point places.
x^2 - 7x + 5 = 0
Use radicals as needed and separate answers with a comma.
Thanks!!
Click here to see answer by checkley77(12569)

Question 321260: Please solve by completing the square:

m^2 = 25/2m = 5/2
Use radicals as needed and use comma to separate snawers.
Thanks much!
Click here to see answer by checkley77(12569)

Question 321273: Find and label the vertex (ordered pair) and the line of symmetry.
f(x) = 1/5 x^2
Click here to see answer by Earlsdon(6294)

Question 321266: Give an exact and approximate solutions to three decimal points.
y^2 - 18y + 81 = 64
Type an exact number, use radicals if necessary, rationalize all denominators, express complex terms in terms of i, and use comma to separate.
Thank you!!
Click here to see answer by jim_thompson5910(28717)

Question 321282: Solve by completing the square
m^2 - 25/2 m = 5/2
Use radicals as needed and separate with a comma.
Thank you so much!!
Click here to see answer by ankor@dixie-net.com(15747)

Question 321287: what is the y intercept of y= -2(x-3)^2 +4
when I calculated: y= -2(0-3)^2 +4
y= -2(-3)^2 +4
y= -2(9) +4
y= -18+4
y= -14
but when i use my graphing calculator i get y=-5
Click here to see answer by Earlsdon(6294)

Question 321271: Solve for x
Type an integer or simplified fraction, and use a comma to separate answers.
6x^2 = -25x - 4
Thanks very much!!

Click here to see answer by scott8148(6628)

Question 321378: Time in the air. A ball is tossed into the air from a height
of 12 feet at 16 ft/sec. How long does it take to reach the
earth?

Click here to see answer by Alan3354(31538)

Question 321460: Give exact and approximate solutions to three decimal places.
(x-12)^2=20
Click here to see answer by checkley77(12569)

Question 321477: h=-16t^2+112t+144.Where t is the time in seconds after it was propelled. when does it hit the ground?
Click here to see answer by jim_thompson5910(28717)

Question 321502: Solve by quadratic forumula and simplify:
x^2=2/3x
If you can help with this equation, much appreciated. I "think" I would solve by first getting rid of the fraction, to then get 3x^2-6x=0
But I could be wrong, can you please tell me how I would solve this.
Click here to see answer by jim_thompson5910(28717)

Question 321516: 4-x/(x-2)=-2/(x-2)
Click here to see answer by jim_thompson5910(28717)

Question 321580: can you sole this please: sqrt X+4 - sqrt X-1 = 2/sqrt x-1
Click here to see answer by mananth(12270)

Question 321777: Convert to Decimal Notation.
Simplify and type an integer or decimal.
8.55 * 10^7
Thank you!!
Click here to see answer by stanbon(57984)

Question 321789: Write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form, ax^2 + bx + c = 0
Problem:
Solution: 2, (only solution)
Thank you!!
Click here to see answer by ankor@dixie-net.com(15747)

Question 321870: Solve the quadratic equations by taking the square roots:
Click here to see answer by Fombitz(13828)

Question 321888:
Two solutions:

.
.
.

Click here to see answer by Fombitz(13828)

Question 321869: Solve the quadratic equations by taking the square roots: (X^2 - 5) + 4 = 0
Click here to see answer by ehollins1(8)

Question 322027: one factor of x^3 + 1 is (x + 1). what is the other factor ?
Click here to see answer by nyc_function(2733)

Question 322027: one factor of x^3 + 1 is (x + 1). what is the other factor ?
Click here to see answer by Jk22(389)

Question 322057: Evaluate the polynomial for x = 3
Simplify.
3x^2 - 5x + 5 =
Thank you very much!!!
Click here to see answer by Jk22(389)

Question 322014: if the segment is 66.. then how many distinct points are there
Click here to see answer by Fombitz(13828)

Question 322076: help me solve five x squared+80
Click here to see answer by JBarnum(2044)

Question 322072: x^2 + 10x = 300
Find the positive value for x.
Give your answer correct to 3 significant figures.
Click here to see answer by Jk22(389)

Question 322132: y^4+y^2-36=0
Click here to see answer by checkley77(12569)

Question 322130: x^2+x+=0
Click here to see answer by checkley77(12569)

Question 322125: how do i get x^3-24x=5x^2
Click here to see answer by Fombitz(13828)

Question 322129: v^2=12v-24
Click here to see answer by checkley77(12569)

Question 322052: Solve. Simplify, use radicals if needed, rationalize all denominators, and use comma to separate answers.
Problem:
6x^4 - 13x^2 + 6 = 0
Thank you very much!!!
Click here to see answer by Fombitz(13828)

Question 322054: 9x squared= -5x-6
Use the quadratic formula to solve the equation
Click here to see answer by checkley77(12569)

Question 322171: 1.For each quadratic function, state: direction of opening, vertex, equation of axis of symmetry, coordinates of maximum or minimum and domain and range.
(a)y=-2x^2-3
Click here to see answer by solver91311(17077)

Question 322180: The equation describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres.
How long is the football in the air (to the nearest second)?
Click here to see answer by solver91311(17077)

Question 322179: The equation describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres.
At what time is the maximum height reached?
Click here to see answer by solver91311(17077)

Question 322178: The equation describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres.
(a)What is the maximum height of the football?
Click here to see answer by solver91311(17077)

Question 322183: Determine whether each set of data is linear, quadratic, or neither using finite differences.
X Y
0 -1
1 1
2 3
3 5
4 7
Click here to see answer by Edwin McCravy(8999)

Question 322198: How do you find a quadratic equation if you are only given the solution? Write a quadratic equation for the given solutions: 1/4 and 0.
Click here to see answer by galactus(183)

Question 322182: Determine whether each set of data is linear, quadratic, or neither using finite differences.
X Y
1 -3
2 -2
3 2
4 9

Click here to see answer by Edwin McCravy(8999)

Question 322200: If you have the solutions: -3 and -2, what would the quadratic equation be?
Click here to see answer by Earlsdon(6294)

Question 322200: If you have the solutions: -3 and -2, what would the quadratic equation be?
Click here to see answer by Edwin McCravy(8999)

Question 322195: Please show me how to solve a quadratic equation using the quadratic formula. Can you please provide an example of a quadratic equation and show how you solved it? I am struggling with this topic.
Click here to see answer by solver91311(17077)

Question 322212: The equation h=-4t^2+16t+1.5 describes the path of a football, where t is the time in flight in seconds and h is the height of the football in metres.
How long is the football in the air (to the nearest second)?
Click here to see answer by stanbon(57984)

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