Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 366613: a punter, punts the football at the 40 yard line at the equation of y=-0.008x^2+2.5x+1. I know how to graph a linear function starting at a cirtain point, how would you graph a quadratic function from the 40 yard line?
Click here to see answer by edjones(7569)   |
Question 366785: 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?
b. What is the number of tickets sold on the 10th day? The 20th day? The 40th day? The 50th day?
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. After how many days will the maximum or minimum occur?
e. How many tickets will be sold on the day when the maximum or minimum occurs?
f. What are the coordinates of the vertex? How does this number relate to your answers in parts d and e?
g. How many solutions are there to the equation ? How do you know?
h. What do the solutions represent? Explain.
Click here to see answer by mananth(12270)  |
Question 366786: can you tell me if these are right if not can you help me out with them please.
Hint: Pay attention to the units of measure. You may have to convert from feet to miles several times in this assignment. You can use 1 mile = 5,280 feet for your conversions.
1. Many people know that the weight of an object varies on different planets, but did you know that the weight of an object on Earth also varies according to the elevation of the object? In particular, the weight of an object follows this equation: , where C is a constant, and r is the distance that the object is from the center of Earth.
a. Solve the equation for r, and then solve the equation for C.
Multiply both sides by r^2 to get:
wr^2 = C
r^2 = C/w
r = sqrt[C/w]
b. Suppose that an object is 160 pounds when it is at sea level. Find the value of C that makes the equation true. (Sea level is 3,963 miles from the center of the Earth.)
C=160*3963^2=40205744640
c. Use the value of C you found in the previous question to determine how much the object would weigh in
i. Death Valley (282 feet below sea level).
Distance from center = 3963 - (282/5280) = 3962.946591 miles = 20,924,358 ft
w=Cr^-2
w = 1570536900*3962.946591^-2= 100.0026954 miles
ii. The top of Mount McKinley (20,320 feet above sea level).
3963+ (20320/5280) = 3966.848484848485 miles
2. The equation gives the distance, D, in miles that a person can see to the horizon from a height, h, in feet.
a. Solve this equation for h.
1.2*Sqrt (h) = D
:
Sqrt(h) = ; Divided both sides by 1.2
h = ; Squared both sides
b. Mauna Kea in Hawaii is 13,796 feet in elevation. How far can you see to the horizon from the top of Mauna Kea? Can you see Waikiki beach, Honolulu (about 198 miles away)? Explain your answer.
13796/5280=2.6 miles
D=1.2 sprt (2.6)= 1.2*
Click here to see answer by stanbon(57243) |
Question 366798: The height (t) in feet above the ground, of a ball thrown into the air from the top of a building is given by the function of h(t)= -16(t-2)^2+264, where t is the number of seconds the ball has been in the air.
a. From what height was the ball thrown?
b. what height does the ball reach?
c. when does the ball strike the ground?
e. for what values of t does the function have meaning?
Click here to see answer by Alan3354(30983)  |
Question 366861: The number of tickets sold each day for an upcoming performance of handel's Messiah is givn by N(x)=-0.4x^2+10.4x+10 where x is the number of days since the concert was first announced. When will daily sales peak and how many tickets will be sold that day? Pleas show work Thank you
Click here to see answer by josmiceli(9658)  |
Question 366992: durin the first part of a trip a canoesit travels 64 miles at a certain speed. The conoeist treavels 22 miles on the secondo part of the trip at a speed of 5 mph slower. the total time for the trip is 4 hours what was the speed of each part of the trip.
Click here to see answer by mananth(12270) |
Question 366916: a) On a 135-mile bicycle excursion, Maria averaged 5 miles per hour faster for the first 60 miles than she did for the last 75 miles. The entire trip took 8 hours. Find her rate for the first 60 miles.
b) A group of students agreed that each would chip in the same amount to pay for a party that would cost $100. Then they found 5 more students interested in the party and in sharing the expenses. This decreased the amount each had to pay by $1. How many students were involved in the party and how much did each student have to pay?
c) A 24-foot ladder resting against a house reaches a windowsill 16 feet above the ground. How far is the foot of the ladder from the foundation of the house? Express your answer to the nearest tenth of a foot.
Click here to see answer by solver91311(16868)  |
Question 367018: I've been working on this problem for 5 days and can't figure it out. This is the question. "A homeowner has poured a rectangular slab for a barbecue pit. The length is 3 feet more than its width. It is surrounded by a 2 foot wide flower bed. If the area covered by both is 270 square feet, find the dimensions of the barbecue area".
1. A=lw which would mean that the with is 15 and the length is 18 (18*15=270). Now if you subtract the perimeter of that, which would be 8 feet (2*4=8) that would mean that the remaining area would be 262.
2. At 51 I suck at word problems as bad as I did when I was 15 and just can not figure out how to put this in a quadratic equation. I have tried 270=(w+3)(w)-2^2 and it doesn't work.
I have tried x=(w+3)(w)-2^2-270 and that doesn't work.
What exactly is it that I'm doing wrong?
3. Yes, this is a homework problem and yes I have tried everything to solve it. I have read and re-read the chapter and my class notes but it just comes down to I don't understand...Please Help!!!1
Susan Lucas
Click here to see answer by Fombitz(13828)  |
Question 367018: I've been working on this problem for 5 days and can't figure it out. This is the question. "A homeowner has poured a rectangular slab for a barbecue pit. The length is 3 feet more than its width. It is surrounded by a 2 foot wide flower bed. If the area covered by both is 270 square feet, find the dimensions of the barbecue area".
1. A=lw which would mean that the with is 15 and the length is 18 (18*15=270). Now if you subtract the perimeter of that, which would be 8 feet (2*4=8) that would mean that the remaining area would be 262.
2. At 51 I suck at word problems as bad as I did when I was 15 and just can not figure out how to put this in a quadratic equation. I have tried 270=(w+3)(w)-2^2 and it doesn't work.
I have tried x=(w+3)(w)-2^2-270 and that doesn't work.
What exactly is it that I'm doing wrong?
3. Yes, this is a homework problem and yes I have tried everything to solve it. I have read and re-read the chapter and my class notes but it just comes down to I don't understand...Please Help!!!1
Susan Lucas
Click here to see answer by solver91311(16868) |
Question 367056: Can someone please help me. I got all my homework done but this one. I can not get it. please help.
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?
b. What is the number of tickets sold on the 10th day? The 20th day? The 40th day? The 50th day?
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. After how many days will the maximum or minimum occur?
e. How many tickets will be sold on the day when the maximum or minimum occurs?
f. What are the coordinates of the vertex? How does this number relate to your answers in parts d and e?
g. How many solutions are there to the equation ? How do you know?
h. What do the solutions represent? Explain.
Click here to see answer by ewatrrr(10682)  |
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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, 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
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