Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 1200653: A farmer wants to fence in a field using the river as one side of the enclosed area. The farmer wants 5 pens and uses 2000 feet of fencing. What are the dimensions of the area if the farmer wants the largest pens possible.
Click here to see answer by ikleyn(52778)   |
Question 1200642: A projectile is shot straight up from a height of 6m with an initial velocity of 80m/s. Its height in meters above the ground after t seconds is given by the equation h=6+80t-5t^2. After how many seconds does the projectile reach its maximum height, and what is this height
Click here to see answer by Alan3354(69443)  |
Question 1200697: A family plans to fence in a rectangular patio are behind their house. They have 180 feet of fence to use. One side of the rectangle is the back of the house. What are the dimensions of the rectangular region if they want to make the patio area enclosed as large as possible?
Click here to see answer by ikleyn(52778) |
Question 1200805: The height h metres of a ball at time t second after it is thrown up into the air Is given by the expression
h= 1+ 15t - 5t^2
(i) Find the times at which the height is 11m
(ii) Use your calculator to find the time when the ball hits the ground
(iii) what is the greatest height the ball reaches
Click here to see answer by Alan3354(69443) |
Question 1200955: Hello, I would just like to put this question on here to see if I got the correct answer.
Question: Complete the square to find the vertex of the parabola
[[[y=x^2-8x+3]]]
V=(4,-13)
Is that the correct answer?
Click here to see answer by ikleyn(52778) |
Question 1200969: The proper angle for a ladder is about 75 degrees from the ground. Suppose you have a 6 foot ladder. How far from the house should you place the base of the ladder? Round to the hundredths. (2 decimal places)
Click here to see answer by Theo(13342)  |
Question 1200995: Jacqueline needs to rent a car while on vacation. The rental company charges $18.95, plus 17 cents for each mile driven. If Jacqueline only has $50 to spend on the car rental, what is the maximum number of miles she can drive?
Round your answer down to the nearest whole mile
Click here to see answer by josgarithmetic(39617) |
Question 1201009: Samantha recently hired a landscaper to do some necessary work. On the final bill, Samantha was charged a total of $1245. $465 was listed for parts and the rest for labor. If the hourly rate for labor was $52, how many hours of labor was needed to complete the job?
The number of labor hours was
Click here to see answer by ikleyn(52778) |
Question 1201005: Find the perimeter and area of the figure pictured below.
[Graphs generated by this script: initPicture(-6,18,-6,18);path([[0,0],[0,7.4],[2.3,7.4],[2.3,3.3],[11.4,3.3],[11.4,0],[0,0]]);text([0,3.7],'7.4 m','left');text([1.15,7.4],'2.3 m','above');text([11.4,1.65],'3.3 m','right');text([5.7,0],'11.4 m','below');]
Perimeter = __________________ m
Area = __________________ m2
Click here to see answer by ikleyn(52778) |
Question 1201005: Find the perimeter and area of the figure pictured below.
[Graphs generated by this script: initPicture(-6,18,-6,18);path([[0,0],[0,7.4],[2.3,7.4],[2.3,3.3],[11.4,3.3],[11.4,0],[0,0]]);text([0,3.7],'7.4 m','left');text([1.15,7.4],'2.3 m','above');text([11.4,1.65],'3.3 m','right');text([5.7,0],'11.4 m','below');]
Perimeter = __________________ m
Area = __________________ m2
Click here to see answer by math_tutor2020(3816) |
Question 1201022: Samantha recently hired a landscaper to do some necessary work. On the final bill, Samantha was charged a total of $1245. $465 was listed for parts and the rest for labor. If the hourly rate for labor was $52, how many hours of labor was needed to complete the job?
Click here to see answer by ikleyn(52778) |
Question 1201028: For a certain company, the cost for producing x
items is 45x+300
and the revenue for selling x
items is 85x−0.5x^2
.
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 of the items that it produces. (Hint: it is a quadratic polynomial.)
Part b: Find two values of x
that will create a profit of $300
.
x= ?
Part c: Is it possible for the company to make a profit of $15,000
?
Click here to see answer by mananth(16946)  |
Question 1201163: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $1200
, which was to be divided equally among the members going. Prior to the trip, 3
members decided not to go. If the cost per person increased by $90
, how many people went on the expedition?
Click here to see answer by greenestamps(13198)  |
Question 1201163: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $1200
, which was to be divided equally among the members going. Prior to the trip, 3
members decided not to go. If the cost per person increased by $90
, how many people went on the expedition?
Click here to see answer by josgarithmetic(39617) |
Question 1201163: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $1200
, which was to be divided equally among the members going. Prior to the trip, 3
members decided not to go. If the cost per person increased by $90
, how many people went on the expedition?
Click here to see answer by ikleyn(52778) |
Question 1201227: Two rectangular rooms each have an area of 240m^2. If the length of one of the rooms is x metres and the other room is 4 metres longer, write down the width of each room in x
I have done this: 240/x and 240/x+4
It is the second part of the question that I do not understand.
If the widths of the rooms differ by 3 meters, form an equation in x and show that this reduces to x^2+4x-320=0
Solve this equation and hence find the difference between the perimeters of the rooms.
Click here to see answer by greenestamps(13198) |
Question 1201227: Two rectangular rooms each have an area of 240m^2. If the length of one of the rooms is x metres and the other room is 4 metres longer, write down the width of each room in x
I have done this: 240/x and 240/x+4
It is the second part of the question that I do not understand.
If the widths of the rooms differ by 3 meters, form an equation in x and show that this reduces to x^2+4x-320=0
Solve this equation and hence find the difference between the perimeters of the rooms.
Click here to see answer by josgarithmetic(39617) |
Question 1201623: Isabel is making covers for the throw pillows on her sofa. For each pillow cover, she needs (1)/(12) yard of print fabric and (1)/(20) yard of solid fabric. What is the total amount of fabric Isabel needs for each pillow cover? Make sure you properly label your answer.
Click here to see answer by carrollmary87(4) |
Question 1201623: Isabel is making covers for the throw pillows on her sofa. For each pillow cover, she needs (1)/(12) yard of print fabric and (1)/(20) yard of solid fabric. What is the total amount of fabric Isabel needs for each pillow cover? Make sure you properly label your answer.
Click here to see answer by ikleyn(52778) |
Question 1201649: While on the golf course last weekend Marc hit into the rough, landing the ball behind a tall tree. To get out of the scenario, his best option was to hit the ball high enough so it goes over the tree and hopefully comes down in the fairway for his next shot. So with a mighty swing, he hit the ball into the air and was surprised to see it hit near the top of a 300 foot tall tower that he had not noticed.
The formula for this shot is h(x) = -16xsquared + 120x , where h is the height of the ball and x is the number of seconds the ball is in the air.
How could Marc mathematically try to prove that he hit the ball near the top of the tower?
Click here to see answer by ikleyn(52778) |
Question 1202022: Find valu of 'x' in a trapezium where parallel sides are 50m and 26m respectively. Total area is 1254 sqm . Area 1 of upper portion is 618sqm and area2 of lower portion is 636sqm. Height of whole trapezium is 33m. x is height of lower portion of trapezium. Trapezium is divided by a segment in two unequal portions.
Click here to see answer by greenestamps(13198) |
Question 1202073: At a school concert the total value of tickets sold was $2865. Student tickets sold for $7 and adult tickets sold for $11. The number of adult tickets sold was 5 less than 3 times the number of student tickets. Find the number of student tickets sold, s, by solving the equation 7s+33s-55=2865.
Click here to see answer by josgarithmetic(39617) |
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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, 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
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