Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 310685: Under what circumstances would prefer using factoring, completing the square and quadratic formula over each other?
Click here to see answer by solver91311(24713)

Question 310688: Hello I have a problem solving this parabola question.The path of a cliff diver as he dives into a lake ,is given by this eqaution,y=-(x-10)(SQAURED)+75,where y metres is the diver's height above the water and,x metres is the horisontal distance travelled by the diver.What is the maximum height the diver is above the water?
Click here to see answer by Fombitz(32388)

Question 310424: 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=-0.3x^2+10x+12
Does the graph of this equation open up or down? Explain how you determine this.
The graph of this equation goes down because -0.3<0.

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. Show work!
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? Explain how you know.

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

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

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

h. How many solutions are there to the equation ? Explain how 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? Explain.

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

Question 310862: THE STUDENT COUNCIL AT RAHKENROLE HIGH SCHOOL IS PLANNING A CONCERT. THEY'VE HIRED THE KNOX MOUNTAIN BOYS, A POPULAR LOCAL BAND, FOR $340. A POLL AMONG THE STUDENTS HAS SHOWN THAT IF TICKETS COST $5, 140 PEOPLE WILL COME TO THE CONCERT. FOR EVERY DOLLAR THE TICKET PRICE GOES UP, 10 FEWER PEOPLE WILL COME, AND FOR EVERY DOLLAR IT GOES DOWN, 10 MORE PEOPLE WILL COME.
THE OTHER GROUP WANTS TO RAISE MONEY ON THE CONCERT. HOW MUCH SHOULD HEY CHARGE PER TICKET TO MAXIMIZE THE AMOUNT OF MONEY THEY RAISE? HOW MUCH WILL THEY RAISE AT THAT PRICE?
PLEASE HELP ME, I WOULD REALLY APPRECIATE IT IF YOU DID. PLEASE SOLVE THIS ALGEBRAICALLY AND NOT GUESS AND TEST.
Click here to see answer by stanbon(75887)

Question 310917: If one solution to the equation x^2 � 3x + k = 0 is 4, then what is the other solution?
a) -4 b) -1 c) 1
d) 4 e) cannot be determined from the information given

Click here to see answer by Edwin McCravy(20054)

Question 311032: a square swimming pool with a side measure of 16 m is to be surrounded by a rubberized floor covering of uniform width. if the area of the floor covering equals the area of the pool, find the width of the rubberized covering.
Click here to see answer by texttutoring(324)

Question 311054: what 2 formulas come from x=-b +/- square root of b2-4ac over 2a

Click here to see answer by JBarnum(2146)

Question 311056: Use the following quadratic equation to answer questions a and b below. must show all work
x2 + 3x - 18 = 0
a. Solve by factoring.
b. Solve using the quadratic formula.
Click here to see answer by Fombitz(32388)

Question 311064: how do u solve 8X^2+11X-10
Click here to see answer by Alan3354(69443)

Question 311064: how do u solve 8X^2+11X-10
Click here to see answer by solver91311(24713)

Question 311083: Can you help me solve this problem:
t^2 + 4 = 0
Click here to see answer by checkley77(12844)

Question 311086: Can you help me solve this problem:
$2500 grows to $2704 in 2 years. Use the formula A = P(1 + r)^t to find the interest rate.
Click here to see answer by solver91311(24713)

Question 311223: what is the value of y when x=2 for the equation 3x squared minus 7x+17=y?
Click here to see answer by solver91311(24713)

Question 311225: how do i work out x+11=y and 7x-49=y? (two differwnt equations)
Click here to see answer by nyc_function(2741)

Question 311290: (x+3)^2+27x+60=0
Click here to see answer by Fombitz(32388)

Question 311290: (x+3)^2+27x+60=0
Click here to see answer by fractalier(6550)

Question 311262: what is the answer to this problem?
2x+5y=-16
y=-20-6x
Click here to see answer by fractalier(6550)

Question 311192: Please Help Me!
1. The path of a ball thrown into the air from a height of 3 feet is given by y=-1/8x^2+x+3, where y is the height of the ball in feet at the horizontal distance of x feet from the thrower.
a. How high is the ball at its maximum height?
b. estimate the horizontal distance the ball traveled before hitting the ground.
Click here to see answer by ankor@dixie-net.com(22740)

Question 311377: Can you please explain to me how to do the following? Give exact and approximate solutions to three decimal places (x-9)^2=12
Click here to see answer by fractalier(6550)

Question 311425: Solve
11( x - 2) + ( x - 5)= (x + 2)( x + 6)
Click here to see answer by vleith(2983)

Question 311431: Solve 4y ^2 = 12
I've done this and was wondering if I was on the right path:
4y ^2 = 12
4y^2 - 12 = 0
(2y - 4)( 2y + 3) = 0
2y -4 = 0
add 4
2y = 4
divide by 2
y = 2
2y + 3 = 0
subtract 3
2y = -3
y = -3 /2

Click here to see answer by JBarnum(2146)

Question 311428: g ( x) = x^2 + 5x + 4 find the vertex and axis of symmetry
Click here to see answer by JBarnum(2146)

Question 311470: Find the root 4x^2-13x+3=0
Click here to see answer by mananth(16946)

Question 311478: when a problem is about the product of two integers you need to? them.
Click here to see answer by tutorcecilia(2152)

Question 311530: Hi! i wanted to see if the answer i got for this problem was right. The quadratic egaution is, X2(squared)+x-2=0
Click here to see answer by Earlsdon(6294)

Question 311558: How do you solve for the equation (5x+5)^2=100 ? thanks
Click here to see answer by stanbon(75887)

Question 311558: How do you solve for the equation (5x+5)^2=100 ? thanks
Click here to see answer by Alan3354(69443)

Question 311579: Please help me find the vertex and axis of symmetry and graph the function of:

Click here to see answer by Alan3354(69443)

Question 311577: Please help me solve this quadratic equation:
Click here to see answer by stanbon(75887)

Question 311591: 2x^2-5x=-7
need the solution set= {_____}
Click here to see answer by stanbon(75887)

Question 311591: 2x^2-5x=-7
need the solution set= {_____}
Click here to see answer by checkley77(12844)

Question 311576: Please help me solve this equation: It asks to find the x-intercept of the function given by:

Click here to see answer by checkley77(12844)

Question 311521: The area of a rectangle wall of a barn is 189 sq feet. Its length is 12 feet longer than the width. Find the length and width of the wall of the barn.
Thank you.
Click here to see answer by checkley77(12844)

Question 311606: What number is used to complete the square for the equation y^2 + 16 = -y?

a) -64
b) 64
c) .25
d) .-25
Click here to see answer by ankor@dixie-net.com(22740)

Question 311257: A brace that is going to be shaped as a right triangle at a hypotenuse of 41 in. the longer leg of the brace is 31 in. more than the shorter leg. You need to dteremine the length of the 2 leds using a quadratic equation. then solve to find the area and perimeter and calculate the angled formed between the short leg and hypotenuse.
I was thinking I had to use a2+b2=c2 but when I do it the number dont come out perfect (meaning no decimals) and my teacher said it has to be perfect. I know that the short leg is going to be x and the long one is x+31.
Click here to see answer by scott8148(6628)

Question 311605: Which is the equation for the axis of symmetry of y = 1/2x^2 - 2x - 3?
a) y = 2
b) x = -2
c) y = -2
d) x = 2

Click here to see answer by Fombitz(32388)

Question 311704: Hello!
I am currently in algebra 1 at my middle school and I am trying to study for finals. I am having some trouble with quadratic equations and I hope that you can help.
My teacher said to use the quadratic formula to find solutions and I have no idea how to do that.
Here is the problem:
(x-8)(x+1)=-20
Thank you very much for your time and effort.
Sincerely,
Lyn
Click here to see answer by Earlsdon(6294)

Question 311722: Can anyone solve and explain this?
Write a quadratic equation having the given numbers as solutions:
4i, -4i
Click here to see answer by stanbon(75887)

Question 311893: ax^2+bx+c=0
type the equation in standard form. the solutions are -10,5,.
I am totaly lost here
Click here to see answer by Alan3354(69443)

Question 311838: How can I find the x and y intercepts of F(x)=25x^2+10x+1.
I tried factoring but I was unable of coming up with an answer.
Click here to see answer by Alan3354(69443)

Question 311854: Use the quadratic formula to determine the x-intercepts (if any) of the following function. Then evaluate the function for several values of x, and use the resulting points to graph the function. Show your work
f (x) = - x^2 + 2x - 1
Click here to see answer by checkley77(12844)

Question 311853: Solve by applying the Quadratic Formula; all radicals should be simplified as far as possible. Show your work
x^2 + 4x - 7 = 0

Click here to see answer by checkley77(12844)

Question 311900: give the approximate solutions to three decimals places (x-12)^2=45
Click here to see answer by Edwin McCravy(20054)

Question 311772: Solve. Let f(x) = x2 - 8x + 16. Find x so that f(x) = 22.
Click here to see answer by ankor@dixie-net.com(22740)

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