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Question 1187125: A firework is launched upward at an initial velocity of 49 m/s, from a height
of 1.5 m above the ground. The height of the firework, in metres, after t seconds, is modelled by the equation h=4.9t^2 + 49t + 1.5.
a) What is the maximum height of the firework above the ground?
b) Over what time interval is the height of the firework greater than 100 m above
the ground? Round to the nearest hundredth of a second.
Click here to see answer by Boreal(15235)

Question 1187061: Please help me solve this problem.
A parabolic arch has a span of 80 feet and a maximum height of 78 feet. Choose a suitable rectangular coordinate system and find the equation of the parabola.
Click here to see answer by Alan3354(69443)

Question 1188329: A rectangle has a length of 15
15
inches less than 5
5
times its width. If the area of the rectangle is 2750
2750
square inches, find the length of the rectangle.

Click here to see answer by josgarithmetic(39617)

Question 1188328: a toy rocket is launched upward from ground level with an initial velocity of 51 meters per second. It’s height is a function of time, given h = -4.9t^2 + 51t, where h represents the height in meters and r represents the time in seconds. What is the maximum height reached by the rocket and how long is it in flight?
Click here to see answer by ikleyn(52780)

Question 1188443: A stone is tossed from a bridge into the river below. Its path is represented by h = -2t^2 + 7t + 9, where h is height, in metres, and t is time, in seconds.
Find the maximum height reached by the stone.
How many seconds does it take to reach the maximum height?
How many seconds does it take for the stone to reach the water?
Click here to see answer by MathLover1(20849)

Question 1188441: Find the minimum value of the quadratic y = 2x^2 - 8x + 8. At what x-value does the minimum occur? State the domain and range of this function. Thank you.
Click here to see answer by MathLover1(20849)

Question 1188446: Find the minimum value of the quadratic y = 2x^2 - 8x + 10 by completing the square. Graph the resulting parabola. Thank you.

Click here to see answer by Boreal(15235)

Question 1188446: Find the minimum value of the quadratic y = 2x^2 - 8x + 10 by completing the square. Graph the resulting parabola. Thank you.

Click here to see answer by ikleyn(52780)

Question 1188452: Find the equation of the quadratic given its real roots 2-√3 and 2+√3 which passes through the point (1, -2).
Click here to see answer by Boreal(15235)

Question 1188454: A quadratic function has roots 3 and - 5, which passes through the point (1, 5). Under what conditions will it intersect with a line of slope -4 once? Twice? Never?
Click here to see answer by Solver92311(821)

Question 1188484: Find a formula for the quadratic function whose graph has y-intercept at y=15 and zeros at x=2 and x=4.
Click here to see answer by ikleyn(52780)

Question 1188448: Determine the restrictions on the y-intercept so that y = 3x^2 + 6x - 1 intersects with a line with slope 2 in more than one place.
Click here to see answer by ikleyn(52780)

Question 1188506: Two mechanics, Bonita Rich and Pamela Pearson, take 8 hours to rebuild an engine when they work together. If each worked alone, Bonita, the more experienced
mechanic, could complete the job 2 hours faster than Pamela. How long would it take each of them to rebuild the engine working alone?
Click here to see answer by Boreal(15235)

Question 1188709: Select all of the following statements that apply to the function y = x^2 + 10x + 27.
i) It has a minimum of 2
ii) It has a maximum of 2
iii) It has a maximum of 5.
iv) It has a minimum of 5.
v) It has zeros at x = 5 and x = 2.
vi) It has no zeros.
vii)It is translated 2 units up and 5 units to the left.
viii) It is translated 2 units up and 5 units to the right.
Click here to see answer by Solver92311(821)

Question 1188807: Find the quadratic function with integral coefficients having the given zeros of -2 and 7/2
Click here to see answer by MathLover1(20849)

Question 1188807: Find the quadratic function with integral coefficients having the given zeros of -2 and 7/2
Click here to see answer by ikleyn(52780)

Question 1188854: Find the dimensions of the rectangle of maximum area that can be constructed with 500\m of fencing. Find the maximum area.
Click here to see answer by ikleyn(52780)

Question 1188851: Find the dimensions of the rectangle of maximum area that can be constructed with 500m of fencing. Find the maximum area.
Click here to see answer by ikleyn(52780)

Question 1188853: An architect is designing a rectangular family room with a perimeter of 48\m. What dimensions will yield the maximum area? What is the maximum area?
Click here to see answer by ikleyn(52780)

Question 1188850: An architect is designing a rectangular family room with a perimeter of 48\m. What dimensions will yield the maximum area? What is the maximum area?
Click here to see answer by ikleyn(52780)

Question 1188855: A company has 50 customers paying ₱650 each month. If each ₱50 decrease in price attracts 10 additional customers, find the approximate price that yields maximum revenue and the possible maximum revenue for the company.
Click here to see answer by Solver92311(821)

Question 1188852: A company has 50 customers paying ₱650 each month. If each ₱50 decrease in price attracts 10 additional customers, what is the approximate price that yields maximum revenue and the possible maximum revenue for the company?
Click here to see answer by Solver92311(821)

Question 1188900: Rewrite the function f(x)=3(x+1)^2-2 in the form f(x)=ax^2+bx+c .
Click here to see answer by KingEslapen(1)

Question 1188983: Width of a Pasture A pasture is twice as long as it is wide. Its area is 800 m square ? . How wide is the pasture?
Click here to see answer by VFBundy(438)

Question 1188987: Length of a Garden A rectangular garden is 25 m wide. If its area is 1125 m square, what is the length of the
garden?
Click here to see answer by Alan3354(69443)

Question 1188989: Distance, Speed, and Time Two cyclists, 90 km apart, start riding toward each other at the same time. One
cycles twice as fast as the other. If they meet 2 hours later, at what average speed is each cyclist traveling?
Click here to see answer by Alan3354(69443)

Question 1188986: Dimensions of a Lot A rectangular parcel of land is 50 m wide. The length of a diagonal between opposite
corners is 10 m more than the length of the parcel. What is the length of the parcel?
Click here to see answer by Theo(13342)

Question 1188988: Framing a Painting Ali paints with watercolors on a sheet of paper 50 cm wide by 38 cm high. He then
places this sheet on a mat so that a uniformly wide strip of the mat shows all around the picture. The
perimeter of the mat is 256 cm. How wide is the strip of the mat showing around the picture?Vic
Click here to see answer by ankor@dixie-net.com(22740)

Question 1189134: What is the x-intercept for the following equation y=2(x+1)^2 + 3? Please show step by step.
Click here to see answer by ikleyn(52780)

Question 1189159: Solve the roots of the equation by completing the square. Leave all answers in exact values with the most simplified form:
3x^2 + 2x + 7/3 = 0
Click here to see answer by Theo(13342)

Question 1189160: 2x^(2)-3x-5=0
Click here to see answer by Alan3354(69443)

Question 1189496: Find the maximum area of a rectangle that can be enclosed by a fence that is 364 meters long.
Click here to see answer by ikleyn(52780)

Question 1189497: A ticket to a film showing costs ₱20. At this price, the organizer found out that all 300 seats are filled. The organizers estimates that if the price is increased, the number of viewers will fall by 50 for every ₱5 increase.
A.) What ticket price results in the greatest revenue?
B.) At this price, what is the maximum revenue?
Please show a step by step solution.
Click here to see answer by ikleyn(52780)

Question 1189559: the volume of the box for some values
of x between 1 and 2. Use these values to estimate to one
decimal place the value of x between 1 and 2 that would
produce a box with a volume of 65 cu. in.
(B)Describe how you could refine this table to estimate x to
two decimal places.
(C) Carry out the refinement you described in part (B) and
approximate x to two decimal places.
Click here to see answer by ikleyn(52780)

Question 1189593: Why is 1 3 over 4 is rational number
Click here to see answer by Alan3354(69443)

Question 1189593: Why is 1 3 over 4 is rational number
Click here to see answer by ikleyn(52780)

Question 1189593: Why is 1 3 over 4 is rational number
Click here to see answer by Edwin McCravy(20054)

Question 1189750: The correct check digit for the UPC: 0-79893-46500-___ is 5?

Click here to see answer by ikleyn(52780)

Question 1189770: Write the quadratic equation whose roots are 4 and -1 and whose leading coefficient is 5.
Click here to see answer by ikleyn(52780)

Question 1189785: The square of 9 less than a number is 3 less than the number. What is the number?

Click here to see answer by ikleyn(52780)

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, 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, 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