Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1205890: A drone takes off from a platform. Its height h(t), in meters, t seconds after
the takeoff can be modeled by the equation h(t) = −t² + 16t + 80.
Write the appropriate domain for this function based on the context. For
each box, select the letter before the correct value.
≤t ≤
Ⓐ - 20 Ⓔ - 4
Ⓑ - 4 Ⓕ 0
Ⓒ 0 Ⓖ 4
Ⓓ 4 Ⓗ 20
Click here to see answer by ikleyn(52754)   |
Question 1205935: A roller coaster drop creates a parabolic shape while going
underground. The distance from the ground in feet can be
modeled by the equation y = 3x² − 24x + 36, where x is the
number of seconds on the ride. Which of the following can
represent the domain when the roller coaster is underground?
Ⓐ x > 4
Ⓑ x < 36
Ⓒ 2 < x < 6
Ⓓ x is all real numbers.
Click here to see answer by math_tutor2020(3816) |
Question 1205964: The manager of big box store has found that if the price of a pillow is p(x)= 65 - x/8, then x pillows will be sold. The expression for the total revenue from the sale of x pillows is R(x) = 65x - x2 (x squared) /8. Find the number of pillows that will produce maximum revenue.
Click here to see answer by MathLover1(20849)  |
Question 1206027: A diver jumps from a springboard. The function h(t) = −5t² + 8t + 4
shows the height of the diver above the water, in meters, t seconds
after the diver leaves the springboard. What time, in seconds, did the
diver start his descent?
Ⓐ 0.4
Ⓑ 0.8
Ⓒ 2
Ⓓ 4
Click here to see answer by ikleyn(52754) |
Question 1206060: A flying squirrel drops 60 feet from a tree before leveling off. A function that approximates this drop is ℎ = −16𝑡^2 + 60, where ℎ is the distance it drops in feet and 𝑡 is the time in seconds. About how many seconds does it take for the squirrel to drop 60 feet?
Click here to see answer by MathLover1(20849) |
Question 1206150: A ball is thrown vertically upward with an initial velocity of 48 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s=48t−16t2
.
(a) At what time t will the ball strike the ground?
(b) For what time t is the ball more than 20 feet above the ground?
Click here to see answer by mananth(16946)  |
Question 1206150: A ball is thrown vertically upward with an initial velocity of 48 feet per second. The distance s (in feet) of the ball from the ground after t seconds is s=48t−16t2
.
(a) At what time t will the ball strike the ground?
(b) For what time t is the ball more than 20 feet above the ground?
Click here to see answer by greenestamps(13195)  |
Question 1206162: In a video game, a bird is flung on a sling shot and follows a parabolic path. The path of the bird can be modeled by the equation h=-16t^2+55t+50 , where h
is the height of the bird and t is the amount of time, in seconds, the bird has been in the air. How long will it take the bird to reach a height of 40
feet in the air for the first time? Round your answer to the nearest hundredth.
Click here to see answer by ikleyn(52754) |
Question 1206255: A new media platform, JP Productions, uses a model to discover the maximum profit it can make with advertising. The company makes a $6,000 profit when the
platform uses 100 or 200 minutes a day on advertisement. The maximum profit
of $10,000, can occur when 150 minutes of a day’s platform is used on
advertisements. Which of the following functions represents profit, P(m), where m is the number of minutes the platform uses on advertisement?
A) P(m) = −0.064(x + 150)^2 − 10000
B) P(m) = −1.6(x − 150)^2 + 10000
C) P(m) = −(x − 1000)(x − 6000)
D) P(m) = −(x − 100)(x − 200)
Click here to see answer by ikleyn(52754) |
Question 1206274: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrence’s new patio area.
A x^2 + 11x − 15 = 0
B x^2 − 11x − 15 = 0
C x^2 + 22x − 60 = 0
D x^2 − 22x − 60 = 0
E 4x^2 + 44x − 60 = 0
4xx2 − 44xx − 60 = 0
Click here to see answer by josgarithmetic(39613) |
Question 1206274: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrence’s new patio area.
A x^2 + 11x − 15 = 0
B x^2 − 11x − 15 = 0
C x^2 + 22x − 60 = 0
D x^2 − 22x − 60 = 0
E 4x^2 + 44x − 60 = 0
4xx2 − 44xx − 60 = 0
Click here to see answer by greenestamps(13195) |
Question 1206274: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrence’s new patio area.
A x^2 + 11x − 15 = 0
B x^2 − 11x − 15 = 0
C x^2 + 22x − 60 = 0
D x^2 − 22x − 60 = 0
E 4x^2 + 44x − 60 = 0
4xx2 − 44xx − 60 = 0
Click here to see answer by mananth(16946) |
Question 1206274: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrence’s new patio area.
A x^2 + 11x − 15 = 0
B x^2 − 11x − 15 = 0
C x^2 + 22x − 60 = 0
D x^2 − 22x − 60 = 0
E 4x^2 + 44x − 60 = 0
4xx2 − 44xx − 60 = 0
Click here to see answer by MathTherapy(10549)  |
Question 1206274: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrence’s new patio area.
A x^2 + 11x − 15 = 0
B x^2 − 11x − 15 = 0
C x^2 + 22x − 60 = 0
D x^2 − 22x − 60 = 0
E 4x^2 + 44x − 60 = 0
4xx2 − 44xx − 60 = 0
Click here to see answer by ikleyn(52754) |
Question 1206274: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrence’s new patio area.
A x^2 + 11x − 15 = 0
B x^2 − 11x − 15 = 0
C x^2 + 22x − 60 = 0
D x^2 − 22x − 60 = 0
E 4x^2 + 44x − 60 = 0
4xx2 − 44xx − 60 = 0
Click here to see answer by math_tutor2020(3816) |
Question 1205624: Lawrence is increasing his rectangular patio in his backyard. His patio is currently 12 feet by 10 feet. He wants to increase the patio by adding a decorative tile the same width (x) all the way around creating a total area of 180 square feet. Select all the quadratic equations that represent Lawrence’s new patio area.
A x^2 + 11x − 15 = 0
B x^2 − 11x − 15 = 0
C x^2 + 22x − 60 = 0
D x^2 − 22x − 60 = 0
E 4x^2 + 44x − 60 = 0
F 4x^2 − 44x − 60 = 0
Click here to see answer by ikleyn(52754) |
Question 1206403: The barbers profit p each week depends on his charge c per haircut. It is modeled by the equation p=-200c^2+2400c-4700. Sketch the graph of the equation. What price should he charge for the largest profit?
Click here to see answer by Theo(13342)  |
Question 1206701: A study was conducted on students from a particular high school over the last 8 years. The following information was found regarding standardized tests used for college admitance. Scores on the SAT test are normally distributed with a mean of 1092 and a standard deviation of 197. Scores on the ACT test are normally distributed with a mean of 21.6 and a standard deviation of 4.4. It is assumed that the two tests measure the same aptitude, but use different scales. Round all answers to 1 decimal place.
If a student gets an SAT score that is the 49-percentile, find the actual SAT score. SAT score =
What would be the equivalent ACT score for the student?ACT score=
If a student gets an SAT score of 1367.8, find the equivalent ACT score. ACT score=
Click here to see answer by Theo(13342) |
Question 1206740: A truck with a height of 190 cm enters a tunnel with a parabolic ceiling. The width of the truck is 20 m and the maximun height of the tunnel is 10 m. At what minimal distance from the edge of the ground level can this truck pass through the tunnel?
Click here to see answer by MathLover1(20849) |
Question 1206936: An electricity-generating dish uses a parabolic reflector to concentrate sunlight onto a high-frequency engine located at the focus of the reflector. The sunlight heats helium to 650°C to power the engine. Write an equation that represents the cross section of the dish shown with its vertex at (0, 0).
Click here to see answer by ikleyn(52754) |
Question 1206951: A rocket is launched from atop a 114-foot cliff with an initial velocity of 131 ft/s. Use the equation equals minus 16 t squared plus 131 t plus 114 to answer the following questions. Round to the nearest tenth.
Click here to see answer by ikleyn(52754) |
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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, 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