Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 371787: Find the minimum value of g(x)=5x^2+17x-3
Click here to see answer by nerdybill(7384) About Me 

Question 371028: THE NUMBER OF TICKETS SOLD EACH DAY FOR AN UP COMING PERFORMANCE OF HANDLES IS GIVEN BY N(X)= -0.4X^2 +8.8X +15, WHERE X IS THE NUMBER OF DAYS SCINSE THE CONCERT WAS FIRST ANNOUNCED. WHEN WILL DAILY TICKET SALES PEAK? ALSO, HOW MANY TICKETS WILL BE SOLD THAT DAY?
Click here to see answer by jsmallt9(3758) About Me 

Question 371873: solve the linear inequality, 6x+10<2(2x+11)
Click here to see answer by mananth(16946) About Me 

Question 371880: write an equation for the line passing through(4,4)and parallel to the line whose equation is 2x+y-7=0;slope-intercept form
Click here to see answer by Fombitz(32388) About Me 

Question 371878: write equation for the line in slope-intercept form.slope=3/4,y-intercept=2
Click here to see answer by Fombitz(32388) About Me 

Question 371796: FIND THE REAL OR IMAGINARY SOLUTION USING THE QUADRATIC FORMULAR X^-4X+53=0 AND WRITE THE QUADRATIC FUNCTION IN the form y=(x-h)^+k.
Click here to see answer by Fombitz(32388) About Me 

Question 371917: Find the exact volume of a cube with sides of length √3 meters.
Click here to see answer by Fombitz(32388) About Me 

Question 371904: If the difference of two numbers is 8 and their product is 13, what is the
sum of their squares?

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

Question 371849: Can someone tell me if I did these right. If not can someone please help me with these problems PLEASE.
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. (x=1 is the day tickets go on sale).
Tickets= -0.4x^2+20x+122.1
a. Does the graph of this equation open up or down? How did you determine this?
Downward, coefficient of the squared term is negative
b. What is the number of tickets sold on the 10th day? The 20th day? The 40th day? The 50th day?



T (10)= 182
T (20) = -0.4*(20) ^2+20*(20)+122.1
T (20) = -0.4*(400) +400+122.1
T (20) = -160+522.1
T (20) = 362.1
T (20) = 362
T (40) = -0.4*(40) ^2+20*(40) +122.1
T (40) = -0.4*1600+800+122.1
T (40) = -640+922.1
T (40) = 282.1
T (40) = 282
T (50) = -0.4*(50) ^2+20*(50) +122.1
T (50) = -0.4*2500+1000+122.1
T (50) = -1000+1122.1
T (50) = 122.1
T (50) = 122

c. Use the quadratic equation to determine the last day that tickets will be sold.
x = -5.5 and x = 55.55 the last day tickets will be sold

Note. Write your answer in terms of the number of days after ticket sales begin.
d. After how many days will the maximum or minimum occur?
55.55 - 60.05/2 = 25.525

e. How many tickets will be sold on the day when the maximum or minimum occurs?
374
f. What are the coordinates of the vertex? How does this number relate to your answers in parts d and e? 55
g. How many solutions are there to the equation ? How do you know?
2
h. What do the solutions represent? Explain.

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

Question 372009: Determine the solutions to the quadratic equation -10x2 + 30x - 20 = 0.
Click here to see answer by jsmallt9(3758) About Me 

Question 371931: Write one linear inequality that has ( 10,5) (-10, 20) (-20, -25) and (25, -10)
Please write an explanation has to how you came to the solution.

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

Question 372140: If I have a solution how can I create a quadric equation
Click here to see answer by solver91311(24713) About Me 

Question 371786: A model rocket is launched straight up from a platform. The height of the rocket is given by h(t)=-16t^2+266t+10
a. What is the altitude of the rocket 2 seconds after launching?
b. How high does the rocket go?

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

Question 372236: v^2 + 6v - 46 = 9 Can you show me step by step solving v be completing the square? thanks
Click here to see answer by robertb(5830) About Me 
Question 372236: v^2 + 6v - 46 = 9 Can you show me step by step solving v be completing the square? thanks
Click here to see answer by solver91311(24713) About Me 

Question 372359: Factoring to solve equations
Solve:
+4p%28p-1%29+-+24+=+3p%28p-2%29

Click here to see answer by unlockmath(1688) About Me 

Question 372396: -6(7+x)
Click here to see answer by user_dude2008(1862) About Me 

Question 372383: what is the maximum area of a rectangle with the perimeter of 120.
Click here to see answer by robertb(5830) About Me 

Question 372487: I need to use quadratic equations to find two real numbers that satisfy the sum of 15 and the product 36
Click here to see answer by mananth(16946) About Me 
Question 372487: I need to use quadratic equations to find two real numbers that satisfy the sum of 15 and the product 36
Click here to see answer by amoresroy(361) About Me 

Question 372492: Please help me solve this equation +2x%5E2%2B18=0+
Click here to see answer by Fombitz(32388) About Me 

Question 372494: Please me solve this question +z%5E2-5z-24=0+
Click here to see answer by Fombitz(32388) About Me 

Question 372496: Please help me with this equation +12t%5E2-5t=2+
Click here to see answer by Fombitz(32388) About Me 

Question 372559: How to solve the quadratic equation for x by factoring?
For Instance, 6x^2 + 3x = 0

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

Question 372585: Compute the value of the discriminant and give the number of real solutions to the quadratic equation.
-2x^2+3x+1=0
discriminant=
number of real numbers =

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

Question 372514: Use the quadratic formula to solve x2 + 8x + 9 = 0.
Estimate irrational solutions to the nearest tenth.

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

Question 372622: Determine the coordinates of the x-intercepts for the quadratic equation 4x2 – 3x - 1 = 0.
Click here to see answer by ewatrrr(24785) About Me 

Question 372621: Determine the coordinates of the x-intercepts for the quadratic equation 5x2 – 21x + 4 = 0.
Click here to see answer by ewatrrr(24785) About Me 

Question 372615: Determine the coordinates of the x-intercepts for the quadratic equation 6x2 - 7x + 2 = 0.
Click here to see answer by ewatrrr(24785) About Me 

Question 372626: The product of twenty less than eight times a number and thirty less than two times a number equals zero. Find the number(s).
Click here to see answer by Fombitz(32388) About Me 

Question 372664: The Length of a rectangular flower bed is 3 times the width. The area of the bed is 108 square meters. What are the dimensions of the bed?
Please Help me. Thank You

Click here to see answer by checkley79(3341) About Me 

Question 372627: A basketball was thrown from one end of a court to the other. It had an initial upward velocity of 48 feet per second. How long did it take for the ball to hit the ground? Use the formula h = vt – 16t2.
Click here to see answer by Fombitz(32388) About Me 

Question 372769: 15. Which two lines are parallel?

I. 5y= -3x-5
II. 5y= -1 - 3x
III. 3y- 2x= -1

(1 point)

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

Question 372797: Jack wanted to throw an apple to Lauren, who was on a balcony 40 feet above him, so he tossed it upward with an initial speed of 56 ft/s. Lauren missed it on the way up, but then caught it on the way down. How long was the apple in the air?
Would I use the equation h(t) = -16t^2 + 56t +40? (where h = height and t = time) I'm not very good at solving quadratic word problems :(

Click here to see answer by nerdybill(7384) About Me 

Question 372841: I have pulled my hair out trying to learn this stuff!! If anyone could help me I'd so appreciate it!! thank you!!
Solve using the elimination method. Show your work. If the system has no solution or an infinite number of solutions, state this.
3x + 11y = 34.5
9x – 7y = -16.5

Click here to see answer by josmiceli(19441) About Me 

Question 372900: X^2+18=9x
Click here to see answer by mananth(16946) About Me 

Question 372800: The number of miles, M, that a car can travel on a gallon of gas during a trip depends on the average speed, v, of the car on the trip according to the model M = -.011v^2 + 1.3v. Find the average speed that will minimize the costs for a trip. A person wants to take a 1900 mile trip in the car and wants to spend less than $55 for gas. If gas costs $1.10, how fast can the person drive?
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 372988:
To buy both a new car and a new house, Tina sought two loans totalling $191,610. The simple interest rate on the first loan was 6.3%, while the simple interest rate on the second loan was 8.8%. At the end of the first year, Tina paid a combined interest payment of $16,681.66. What were the amounts of the two loans?

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

Question 373088: please show the steps to solve this: 11-p=19 thanks!
Click here to see answer by prince tayem(3) About Me 
Question 373088: please show the steps to solve this: 11-p=19 thanks!
Click here to see answer by amoresroy(361) About Me 

Question 373133: I have to do a project and find two irrational solutions of:
4x^2+bx+25
The project also tells us to solve for: two imaginary solutions, two rational solutions, and one rational solution too, and the only one I solved was the one rational solution.
can you please help! I am completely stumped!
Thank you for your help :)

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

Question 373177: Write a quadratic equation for which the following are solution for x: 7 and -3.
Click here to see answer by Fombitz(32388) About Me 

Question 373397: How do you find the vertex, axis of symmetry, minimum or maximum value of a quadratic function?
Click here to see answer by kac123kac(8) About Me 

Question 373451: The range of this equation -20x(squared)+10x+6
Click here to see answer by fractalier(6550) About Me 

Question 373414: how do you find the (a) quantity from a graph that has the vertex at 4,0 and the y intercept at 200
Click here to see answer by scott8148(6628) 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