Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 371735: How would I solve this problem... A flagpole casts a 32-ft shadow. A boy who is 6 feet tall is standing near the flagpole casting a 16-ft shadow. They form similar triangles. How tall is the flagpole?
Click here to see answer by rfer(12666) |
Question 371745: How would I solve this equation... There are 21 females in the Algebra 1 class. If 75% of the class is female, how many students are there in the class?
I tried setting it up like this:
21 (.75)= x
x= 15.75
Click here to see answer by rfer(12666) |
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(3296) |
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(13828)  |
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)  |
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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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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, 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