Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1199655: a ball is thrown from a building that is 50 m tall. the ball reaches an optimal value of 75m after 2 seconds and reaches the ground after 6 seconds. determine the equation of the ball's path in vertex form
Click here to see answer by ikleyn(52780)   |
Question 1199671: The graph of y=square root of x is stretched by a factor of 2, reflected over x- axis equation translated vertically upward by 3 units, translated 4 units to the left . Determine the equation that results from these translations and sketch an accurate graph using at least 3 points.
Thank you:)
Click here to see answer by ikleyn(52780) |
Question 1199696: For a certain company, the cost for producing x items is 45x+300 and the revenue for selling x items is 85x−0.5x2.
The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!
Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all the items that it produces. (Hint: it is a quadratic polynomial.)
Part b: Find two values of x that will create a profit of $50.
x=
Part c: Is it possible for the company to make a profit of $2,500?
***I understand that Prfit = Revenue-Cost. And I know that I need to set up the equation as such
(85x-0.5x^2) -(45x+300)
Then I need to work my like terms together. so I will subtract the 85x from the left side as well as the right??? So it would be like this? This is where the confusion starts...
-0.5x^2 -40x + 300
HELP!!!
Click here to see answer by ikleyn(52780) |
Question 1199734: A basketball shot is taken from a horizontal distance of 5 m from the hoop.
The height of the ball can be modelled by
the relation h = - 7.3t² + 8.25t + 2.1,
where h is the height, in metres, and t is the time, in seconds, since the ball was released.
a) From what height was the ball released?
b) What was the maximum height reached by the ball?
c) If the ball reached the hoop in 1 s, what was the height of the hoop?
Click here to see answer by htmentor(1343)  |
Question 1199734: A basketball shot is taken from a horizontal distance of 5 m from the hoop.
The height of the ball can be modelled by
the relation h = - 7.3t² + 8.25t + 2.1,
where h is the height, in metres, and t is the time, in seconds, since the ball was released.
a) From what height was the ball released?
b) What was the maximum height reached by the ball?
c) If the ball reached the hoop in 1 s, what was the height of the hoop?
Click here to see answer by ikleyn(52780) |
Question 1199815: Hi, I am actually looking for the same question here as mine, I need a help in solving this problem. I hope someone can help me.
Lina has a rectangular frame that surrounds a 4x6 inch picture. the frame has a strip of uniform width, x inches, around the outside. the area of the strip is 24 square inches The area of the strip.
A. Rewrite the definition of x
B.What is the area of the inner rectangle?
C. If the area of the strip is 24 inches, what is the width of the strip in inches?
Thank you
Click here to see answer by josgarithmetic(39617) |
Question 1199815: Hi, I am actually looking for the same question here as mine, I need a help in solving this problem. I hope someone can help me.
Lina has a rectangular frame that surrounds a 4x6 inch picture. the frame has a strip of uniform width, x inches, around the outside. the area of the strip is 24 square inches The area of the strip.
A. Rewrite the definition of x
B.What is the area of the inner rectangle?
C. If the area of the strip is 24 inches, what is the width of the strip in inches?
Thank you
Click here to see answer by ikleyn(52780) |
Question 1199816: Lina has a rectangular frame that surrounds a 4x6 inch picture. the frame has a strip of uniform width, x inches, around the outside. the area of the strip is 24 square inches.
A. Rewrite the definition of x
B.What is the area of the inner rectangle?
C. If the area of the strip is 24 inches, what is the width of the strip in inches?
D. how did you determine the value of x in Part C? Justify and defend how your approach to solving this is the most efficient.
Thank you. God Bless
Click here to see answer by josgarithmetic(39617) |
Question 1199816: Lina has a rectangular frame that surrounds a 4x6 inch picture. the frame has a strip of uniform width, x inches, around the outside. the area of the strip is 24 square inches.
A. Rewrite the definition of x
B.What is the area of the inner rectangle?
C. If the area of the strip is 24 inches, what is the width of the strip in inches?
D. how did you determine the value of x in Part C? Justify and defend how your approach to solving this is the most efficient.
Thank you. God Bless
Click here to see answer by ikleyn(52780) |
Question 1200222: A cargo plane flying at 7000 feet over level terrain drops a 700-pound supply package.
(a) How long will it take the package to strike the ground? (Round your answer to two decimal places.)
(b) The plane is flying at 800 miles per hour. How far will the package travel horizontally during its descent? (Round your answer to two decimal places.
Click here to see answer by ikleyn(52780) |
Question 1200223: The game commission plane, flying at 1500 feet, drops oral rabies vaccination pellets into a game preserve. The plane is flying at 96 miles per hour. How far will the pellets travel horizontally during their descent?
Click here to see answer by ikleyn(52780) |
Question 1200250: Tracey paid $130 for an item that was originally priced at $310. What percent of the original price did Tracey pay? Round to the nearest tenth of a percent.
Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest tenth of a percent.
Original: 30
New: 50
Click here to see answer by ikleyn(52780) |
Question 1200250: Tracey paid $130 for an item that was originally priced at $310. What percent of the original price did Tracey pay? Round to the nearest tenth of a percent.
Identify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest tenth of a percent.
Original: 30
New: 50
Click here to see answer by josgarithmetic(39617) |
Question 1200389: Find the perimeter and area of the figure pictured below.
[Graphs generated by this script: initPicture(-6,18,-6,18);path([[0,0],[0,12.5],[3,12.5],[3,2.6],[9.8,2.6],[9.8,0],[0,0]]);text([0,6.25],'12.5 m','left');text([1.5,12.5],'3 m','above');text([9.8,1.3],'2.6 m','right');text([4.9,0],'9.8 m','below');]
Perimeter = __________________ m
Area = __________________
Click here to see answer by math_tutor2020(3816) |
Question 1200523: an open-topped box is constructed from a rectangular piece of cardboard that is twice as long as it is wide by removing a square of size 3 inches from each corner and turning up the edges. If the box is to hold 5,940 in^3, how big should the original piece of cardboard be?
Click here to see answer by ikleyn(52780) |
Question 1200523: an open-topped box is constructed from a rectangular piece of cardboard that is twice as long as it is wide by removing a square of size 3 inches from each corner and turning up the edges. If the box is to hold 5,940 in^3, how big should the original piece of cardboard be?
Click here to see answer by Theo(13342)  |
Question 1200629: Maricopa's Success scholarship fund receives a gift of $ 145000. The money is invested in stocks, bonds, and CDs. CDs pay 4.25 % interest, bonds pay 2.2 % interest, and stocks pay 11.7 % interest. Maricopa Success invests $ 15000 more in bonds than in CDs. If the annual income from the investments is $ 11302.5 , how much was invested in each account?
Maricopa Success invested $ in stocks.
Maricopa Success invested $ in bonds.
Maricopa Success invested $ in CDs.
Click here to see answer by ikleyn(52780) |
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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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