Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 512047: I am so confused about my MAT 117 Appendix F. Can someone help me, any help would be appreciated.
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=-0.2x^2+12x+11
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 ? 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(75887)  |
Question 513375: A quadratic function has zeros at x=2 and x=4 and a y-intercept at -16. What is the quadratic function in standard form?
I know I have to unfoil it, but I don't see how it is possible. If y=-16, wouldn't one of zeros have to be negative?
Click here to see answer by oberobic(2304) |
Question 513375: A quadratic function has zeros at x=2 and x=4 and a y-intercept at -16. What is the quadratic function in standard form?
I know I have to unfoil it, but I don't see how it is possible. If y=-16, wouldn't one of zeros have to be negative?
Click here to see answer by josmiceli(19441)  |
Question 513463: I need help solving this problem.
Your company has determined that the profit equation (in thousands of dollars) of producing x thousand smartphones is as follows:
Profit = –x2 + 110x – 1,000
(If the number of smartphones is 40,000, for example, then x = 40). The break-even point is the number of smartphones sold and produced that would result in a profit of zero.
Use your preferred method for solving the quadratic equation to determine the break-even point. Clearly demonstrate how the answer is determined, and interpret the result in real-life terms.
Click here to see answer by stanbon(75887) |
Question 513643: Aki's Bicycle Design has determined that when x hundred bicyles are built, the average cost per bicycle is given by C(x)=0.2x^2-0.5x+8.256, where C(x) is in hundreds of dollars. How many bicycles should the shop build to minimize the average cost per bicycle?
Click here to see answer by stanbon(75887) |
Question 515173: A rectangular pond's length is twice its width. The pond is surrounded on all sides by a three foot wide garden.
A) write a function, A(x), for the area of the pond including the sidewalk,IN TERMS OF THE WIDTH OF THE POND.
B) if the total area (including the garden)is 99 square feet, what are the dimensions of the pond?
Click here to see answer by mananth(16946)  |
Question 515787: search the seas cruise ship has a conference room offering unlimited internet access that can hold up to 60 people. companies can reserve the room for groups of 38 or more. if the group contains 38 people, the company pays $60 per person. the cost per person is reduced by $1 for each person in excess of 38. find the size of the group that maximizes the income for the owners of the ship, and determine the income.
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 516410: a baker has modeled the monthly operating costs for making wedding cakes by the function y=0.5x^2-12+150 where y is the total cost in dollars and x is the number of cakes prepared. what is the vertex and axis of symmetry?
Click here to see answer by stanbon(75887) |
Question 516460: Please help me solve this word problem. "A piece of property is in the shape of a right triangle. The longer leg is 20 meters longer than than twice the length of the shorter leg. The hypotenuse is 10 meters longer than the length of the longer leg. Find the lengths of the sides of the triangular lot." I made the longer side a, the shorter side b, and the hypotenuse c. I figured out: a=2b+20 and c=a+10. Then combined them to get c=2b+20+10, then c=2b+30, and that's where I'm stuck.
Click here to see answer by ankor@dixie-net.com(22740) |
Question 517179: 19. Simplify this expression: 19 – (–8) – (–14) = ?
A. 41
B. –3
C. 25
D. –7
6. Simplify the following expression: 35 + (–13) + (+8) – (–6).
A. 44
B. 24
C. 36
D. 50
9. Solve this inequality: 3p – 16 < 20.
A. p < 11/3
B. p < –12
C. p < 1/3
D. p < 12
Click here to see answer by solver91311(24713)  |
Question 517710: Quadratic Function f(x)=-2x^2+2x+6
The x-coordinate of the vertex is?
The y-coordinate of the vertex is?
The equation of the line of symmetry is?
The maximum/minimum of f(x) is?
The value, f(1/2)=13/2 is?
Is it a maximum or a minimum?
Click here to see answer by nerdybill(7384)  |
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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, 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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, 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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, 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