Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1192459: I need and quadratic function with the roots of -3 and 7 and the function must have a maximum.
Click here to see answer by josgarithmetic(39613) About Me 
Question 1192479: The cost function for a container company is c(x)=10x+30 and the revenue function is r(x)=-x^2+24x where x is the number of containers sold in thousand. Determine the profit function for the number of containers sold. Then determine the number of containers sold that maximizes profit
I got P(x)=-x^2-8x-30 and the x would be -4 but that negative confuses me how do you sell -4 000 contains?
Click here to see answer by ikleyn(52752) About Me 
Question 1192717: A ladder is leaning against a building so that the top is 8 feet above the ground. The length of the ladder is 2 feet less than twice the distance of the bottom of the ladder from the building. Find the length of the ladder.
Click here to see answer by math_tutor2020(3816) About Me 
Question 1192717: A ladder is leaning against a building so that the top is 8 feet above the ground. The length of the ladder is 2 feet less than twice the distance of the bottom of the ladder from the building. Find the length of the ladder.
Click here to see answer by greenestamps(13195) About Me 
Question 1192770: An object is thrown downward from a tower 280 feet high. The distance the object has fallen at time t in seconds is given by s(t) = 16t^2+68t. How long will it take the object to fall 100 feet?
Click here to see answer by Alan3354(69443) About Me 
Question 1192770: An object is thrown downward from a tower 280 feet high. The distance the object has fallen at time t in seconds is given by s(t) = 16t^2+68t. How long will it take the object to fall 100 feet?
Click here to see answer by ikleyn(52752) About Me 
Question 1192767: A baseball is thrown upward from a building 20 m high with a velocity of 15 m/sec. Its distance from the ground after t seconds is modeled by the function f(t)=-4.9t^2+15t+20. When will the ball hit the ground? Round your answer to the nearest tenth.
Click here to see answer by Alan3354(69443) About Me 
Question 1192767: A baseball is thrown upward from a building 20 m high with a velocity of 15 m/sec. Its distance from the ground after t seconds is modeled by the function f(t)=-4.9t^2+15t+20. When will the ball hit the ground? Round your answer to the nearest tenth.
Click here to see answer by ikleyn(52752) About Me 
Question 1192771: A widget manufacturer estimates that her monthly revenue can be modeled by the function R(x)=-0.006x^2+32x-10,000. What is the minimum number of items that must be sold for the revenue to equal $30,000?
Click here to see answer by ikleyn(52752) About Me 
Question 1192771: A widget manufacturer estimates that her monthly revenue can be modeled by the function R(x)=-0.006x^2+32x-10,000. What is the minimum number of items that must be sold for the revenue to equal $30,000?
Click here to see answer by math_tutor2020(3816) About Me 
Question 1192769: A population of microorganisms grows according to the function p(x) = 100+0.2x+0.5x^2, where x is given in hours. How many hours does it take to reach population of 250 microorganisms?
Click here to see answer by ikleyn(52752) About Me 
Question 1192772: A gymnasium floor is 50 ft. by 84 ft. A rectangular basketball court will be painted in
the center of the floor leaving an out-of-bounds region of uniform width around the
edge of the court. The court will cover 58% of the floor. How wide will the out-of-
bounds region be?
Click here to see answer by greenestamps(13195) About Me 
Question 1192901: The size of a TV screen is given by the length of its diagonal. If the dimension of a TV screen is eight by 15 inches, what is the size of the TV screen?
Click here to see answer by Alan3354(69443) About Me 
Question 1192920: +h%28t%29+=+c+-+%28d-4t%29%5E2+
At time t=0, a ball was thrown upward from an initial height of 4 feet. The ball's height, in feet, after t seconds is given by the function h above, in which both c and d are positive constants. If the ball reached its maximum height of 104 feet at time t=3, what is the height, in feet, of the ball at time t=1.5?
Click here to see answer by ikleyn(52752) About Me 
Question 1192930: A piece of wire is cut and 2 squares are formed. The total are of both squares is 65 cm2. What’s the perimeter of each square?
Click here to see answer by Alan3354(69443) About Me 
Question 1192930: A piece of wire is cut and 2 squares are formed. The total are of both squares is 65 cm2. What’s the perimeter of each square?
Click here to see answer by MathTherapy(10549) About Me 
Question 1192930: A piece of wire is cut and 2 squares are formed. The total are of both squares is 65 cm2. What’s the perimeter of each square?
Click here to see answer by ikleyn(52752) About Me 
Question 1192931: A 44 cm piece of wire is cut and 2 squares are formed. The total are of both squares is 65 cm2. What’s the perimeter of each square?
Click here to see answer by greenestamps(13195) About Me 
Question 1192931: A 44 cm piece of wire is cut and 2 squares are formed. The total are of both squares is 65 cm2. What’s the perimeter of each square?
Click here to see answer by Theo(13342) About Me 
Question 1193026: What is the maximum product of 2 numbers whose sum is 45? What numbers yield this product?
Click here to see answer by ikleyn(52752) About Me 
Question 1193027: What is the minimum product of two numbers whose difference is 5? What are the numbers?
Click here to see answer by ikleyn(52752) About Me 
Question 1193162: x^2-20=0
Click here to see answer by josgarithmetic(39613) About Me 
Question 1193232: An amusement park usually charges $34 per ticket and averages 500 visitors per day. A study shows that if the park raises its
price by $1 per ticket, it will lose 125 visitors per day. What price should the park charge per ticket, to maximize the
revenue?
Create an equation to solve this problem. Include appropriate “Let” statements to define your variables.
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1193232: An amusement park usually charges $34 per ticket and averages 500 visitors per day. A study shows that if the park raises its
price by $1 per ticket, it will lose 125 visitors per day. What price should the park charge per ticket, to maximize the
revenue?
Create an equation to solve this problem. Include appropriate “Let” statements to define your variables.
Click here to see answer by ikleyn(52752) About Me 
Question 1193488: Doris walks 89 feet diagonally across a rectangular field. She then returns to her starting position along the outside of the field. The total distance she walks is 208 feet. What are the dimensions of the field?
I would assume you could use the Pythagorean theorem for this, but when I tried I did not get an answer that added up to 208. Please explain step-by-step so I can understand how to solve the problem! Thanks.
Click here to see answer by josgarithmetic(39613) About Me 
Question 1193488: Doris walks 89 feet diagonally across a rectangular field. She then returns to her starting position along the outside of the field. The total distance she walks is 208 feet. What are the dimensions of the field?
I would assume you could use the Pythagorean theorem for this, but when I tried I did not get an answer that added up to 208. Please explain step-by-step so I can understand how to solve the problem! Thanks.
Click here to see answer by ikleyn(52752) About Me 
Question 1193513: given the function y=x2+1
f'(x) derivative differentiable continuous
f'(-3) ?
f'(-2) ?
f'(-1) ?
f'(0) ?
f'(1) ?
Click here to see answer by Edwin McCravy(20054) About Me 
Question 1193600: solve quadratic equation by factoring
x^2+15x=-50
Click here to see answer by greenestamps(13195) About Me 
Question 1193600: solve quadratic equation by factoring
x^2+15x=-50
Click here to see answer by josgarithmetic(39613) About Me 
Question 1193697: A man flies a small airplane from Fargo to Bismarck, North Dakota --- a distance of 180 miles. Because he is flying into a head wind, the trip takes him 2 hours. On the way back, the wind is still blowing at the same speed, so the return trip takes only 1 hour 12 minutes. What is his speed in still air, and how fast is the wind blowing?
Click here to see answer by greenestamps(13195) About Me 
Question 1193696: Nate flies a plane against a headwind for 3869 miles. The return trip with the wind took 20 hours less time. If the wind speed is 10 mph, how fast does Nate fly the plane when there is no wind?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1193696: Nate flies a plane against a headwind for 3869 miles. The return trip with the wind took 20 hours less time. If the wind speed is 10 mph, how fast does Nate fly the plane when there is no wind?
Click here to see answer by greenestamps(13195) About Me 
Question 1193696: Nate flies a plane against a headwind for 3869 miles. The return trip with the wind took 20 hours less time. If the wind speed is 10 mph, how fast does Nate fly the plane when there is no wind?
Click here to see answer by ikleyn(52752) About Me 
Question 1193696: Nate flies a plane against a headwind for 3869 miles. The return trip with the wind took 20 hours less time. If the wind speed is 10 mph, how fast does Nate fly the plane when there is no wind?
Click here to see answer by Alan3354(69443) About Me 
Question 1193693: Sierra went on a 200 mile trip to a soccer game. On the way back, due to road construction she had to drive 10 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1193693: Sierra went on a 200 mile trip to a soccer game. On the way back, due to road construction she had to drive 10 miles per hour slower. This made the trip take 1 hour longer. How fast did she drive to the soccer game?
Click here to see answer by ikleyn(52752) About Me 
Question 1193694: Cameron went on a bike ride of 40 miles. He realized that if he had gone 8 mph faster, he would have arrived 16 hours sooner. How fast did he actually ride?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1193694: Cameron went on a bike ride of 40 miles. He realized that if he had gone 8 mph faster, he would have arrived 16 hours sooner. How fast did he actually ride?
Click here to see answer by ikleyn(52752) About Me 
Question 1193694: Cameron went on a bike ride of 40 miles. He realized that if he had gone 8 mph faster, he would have arrived 16 hours sooner. How fast did he actually ride?
Click here to see answer by greenestamps(13195) About Me 
Question 1193695: Emma rows a boat downstream for 42 miles. The return trip upstream took 8 hours longer. If the current flows at 2 mph, how fast does Emma row in still water?
Click here to see answer by josgarithmetic(39613) About Me 
Question 1193889: Find the quadratic function that fits the data points (1,6) (-1,2) and (3,34).
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1193889: Find the quadratic function that fits the data points (1,6) (-1,2) and (3,34).
Click here to see answer by MathTherapy(10549) About Me 
Question 1193889: Find the quadratic function that fits the data points (1,6) (-1,2) and (3,34).
Click here to see answer by Alan3354(69443) About Me 
Question 1194120: A ball is thrown from an initial height of 4 feet with an initial upward velocity of 32 ft/s. The ball's height, h (in feet), after t seconds is given by the following
h=4+32t-16t^2
Find ALL values of t for which the ball's height is 12 feet. Round your answer(s) to the nearest hundredth.

Click here to see answer by Alan3354(69443) About Me 
Question 1194240: Describe the transformation on y=x^2 to y=(3x +7)^2
Click here to see answer by MathLover1(20849) About Me 
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