Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 585215: An airplane has a total of 152 seats. The number of coach-class seats is five more than six times the number of first-class seats. How many of each type of seat are there on the plane? Write two equations using c to represent coach-class seats and f to represent first-class seats. Solve using elimination or substitution
Click here to see answer by mananth(16946)  |
Question 585432: ????
The Travel Time bus company has determined that when x tourists are given a particular bus
tour, the profit P is given by
P(x) = –0.25 x2 + 29.50x – 170
(a) What is the company’s profit if 42 tourists are given the tour?
(b) How many tourists should be given the tour in order to maximize the company’s profit?
Click here to see answer by nerdybill(7384)  |
Question 585708: i have a question my teacher taught me to do these equations using -b over 2a the putting the product i got from that into the regular Ax+Bx+C=y equation then i would take whatever i got from tose two eqautions and graph them with the y-intercept my question is how do no if it shifts from left to right and how do i deal with fractions in these
Click here to see answer by richwmiller(17219)  |
Question 585577: Please help I am having real trouble with this. Thank you!!!!
Ticket Sales
Living in or near a metropolitan area has some advantages. Entertainment opportunities are almost endless in a major city. Events occur almost every night, from sporting events to the symphony. Tickets to these events are not available long and can often be modeled by quadratic equations.
Application Practice
Answer the following questions. Use Equation Editor to write mathematical expressions and equations. First, save this file to your hard drive by selecting Save As from the File menu. Click the white space below each question to maintain proper formatting.
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 = -x^2 + 5x + 29 = 0
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 -x^2 + 5x + 29 = 0? 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 KMST(5328)  |
Question 586814: 8x + 2 = -4x2
Will the graph of the equation above intersect the x-axis in zero, one, or two points?
(Use the quadratic formula to help you answer this question.)
A) one
B)two
C)There is not enough information.
D) zero
2.2x2 + 4x = -2
Will the graph of the equation above intersect the x-axis in zero, one, or two points?
(Use the quadratic formula to help you answer this question.)
A) zero
C) There is not enough information.
C) one
D) two
Click here to see answer by solver91311(24713)  |
Question 586931: a rectangular pond is to be constructed in a park. the pond will be 5 feet by 7 feet and is to be surrounded by a sidewalk of x feet. the gardener is interested in the area the pond and sidewalk will encompass. write a representative function for the area of this region as a function of x. what kind of function is this?
Click here to see answer by richwmiller(17219)  |
Question 587320: 3p+2y=209
p+y=81
This would be correct right?
3p+2y=209
p=-y+81
Then,
3(-y+81)+2y=209
-3y+243+2y=209
Then,
-y=-34
y=34
So, don't you enter y into the equation? Like this,
p=-y+81
p=-34+81
p=47
So.
y=34 and p=47
My teacher says that this is wrong?
Click here to see answer by stanbon(75887) |
Question 587861: A Broadway theater has 400 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $80, main seats for $60 and balcony seats for $40. If all the seats are sold, the gross revenue to the theater is $23,200. If all the main seats and the balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $20,000. How many are there of each seat?
I've tried solving this by writing an equation and trying to solve for x but it didn't get me the correct answer, any help would be appreciated. Thank you.
Click here to see answer by mananth(16946)  |
Question 587861: A Broadway theater has 400 seats, divided into orchestra, main and balcony seating. Orchestra seats sell for $80, main seats for $60 and balcony seats for $40. If all the seats are sold, the gross revenue to the theater is $23,200. If all the main seats and the balcony seats are sold, but only half the orchestra seats are sold, the gross revenue is $20,000. How many are there of each seat?
I've tried solving this by writing an equation and trying to solve for x but it didn't get me the correct answer, any help would be appreciated. Thank you.
Click here to see answer by yogendra singh(2)  |
Question 587907: A new excavation site that fits a parabola with the equation y =x squared +11x+10. The hole must be more than 10m wide across the top for a bobcat to be able to dig it. If the ground level is taken as the x= axis,is the hole able to be dug by the bobcat?
Click here to see answer by josmiceli(19441)  |
Question 588325: Please help ASAP with my algebra question. We are on quadratic equations and I am stuck on a word problem:
The area of a square can be doubled by increasing the length by 6 inches and the width by 4 inches. What is the length of the side of the square?
Click here to see answer by dfrazzetto(283)  |
Question 589388: Please help me get the simplified answer to this equation: So far I did -21sqrt(21)^2-4(4)(5)/2(4). This equals -21+sqrt(361) all over 8, -21-sqrt(361) all over 8. How do I simplify this answer?
Click here to see answer by KMST(5328)  |
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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, 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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
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