Tutors Answer Your Questions about Quadratic Equations (FREE)
Question 982125: Water fills a tank at a rate of 150 litres during the first hour, 350 during the second hour, 550 litres during the third hour and so on. Find the number of hours necessary to fill a rectangular tank 16m x 9m x 9m.
I answered the question with an Arithmetic Series, but I need it to be a Quadratic Equation, but unsure how to plug the numbers in.
Click here to see answer by macston(5194)   |
Question 982388: a rectangular pool measuring 46 feet by 78 feet is surrounded by a path of uniform width around the 4 edges. the perimeter of the bigger rectangle formed by the pool and the surrounding path is 320 feet. find the width of the path.
Click here to see answer by macston(5194) |
Question 982388: a rectangular pool measuring 46 feet by 78 feet is surrounded by a path of uniform width around the 4 edges. the perimeter of the bigger rectangle formed by the pool and the surrounding path is 320 feet. find the width of the path.
Click here to see answer by Cromlix(4381)  |
Question 982479: Can someone please help me with my homework? Thanks :D
1.What if I have +√3 and -√3 as the roots. What is the equation?
2. Graph the equation in a sign graph: x^2+8x-7=0
In question no. 2, I find the roots of it first. Since it's not a perfect square trinomial, and 8 is an even number, I used completing the square.
x^2+8x=7
x^2+8x+(8/2)^2=7+(8/2)^2
x^2+8x+16=23
x^2+8x+16-23=0
x^2+8x-7=0
But i ended up returning to the original equation :/
Click here to see answer by mananth(16946)  |
Question 982479: Can someone please help me with my homework? Thanks :D
1.What if I have +√3 and -√3 as the roots. What is the equation?
2. Graph the equation in a sign graph: x^2+8x-7=0
In question no. 2, I find the roots of it first. Since it's not a perfect square trinomial, and 8 is an even number, I used completing the square.
x^2+8x=7
x^2+8x+(8/2)^2=7+(8/2)^2
x^2+8x+16=23
x^2+8x+16-23=0
x^2+8x-7=0
But i ended up returning to the original equation :/
Click here to see answer by ikleyn(52777)  |
Question 981205: solve the system:
x+4y+2z=5
3x+7y+z=0
2x+5y+z=1
a. converting the augmented matrix into row-echelon form gives:
1 4 2 5
0 1 1 3
0 0 0 0
b. since the 3rd row corresponds to an equation which is always true, we use the first 2 rows to solve for two of the variables in terms of the third. the first two rows correspond to the equation x+4y+2z=5 and y+____=____
c. solving the second equation for y gives: y=3-z
d. substitute the expression for in the first equation to get: x+4(3-z)+2z=____
e. solve this equation for x to get x=____
Click here to see answer by Fombitz(32388)  |
Question 982770: the blumin garden club planned to give their president a gift of appreciation costing $210 and to divide the cost evenly. in the mentime, 5 members dropped out of the club. if its now cost each of the remanining member $2 more than originally planned, how many members initially participated in the gift buying? (hint if x= number in club initially 120/x= cost per member.)
Click here to see answer by josgarithmetic(39617) |
Question 982770: the blumin garden club planned to give their president a gift of appreciation costing $210 and to divide the cost evenly. in the mentime, 5 members dropped out of the club. if its now cost each of the remanining member $2 more than originally planned, how many members initially participated in the gift buying? (hint if x= number in club initially 120/x= cost per member.)
Click here to see answer by MathTherapy(10551)  |
Question 982770: the blumin garden club planned to give their president a gift of appreciation costing $210 and to divide the cost evenly. in the mentime, 5 members dropped out of the club. if its now cost each of the remanining member $2 more than originally planned, how many members initially participated in the gift buying? (hint if x= number in club initially 120/x= cost per member.)
Click here to see answer by stanbon(75887) |
Question 982884: I have tried to do this problem several times now and not really sure about what I am doing
Your drama club wants to sell tickets to your upcoming play. Based on previous experience,you have determined that the profit you can make on selling t tickets is given by this function. P(t)=14t-0.1t^2
a. How many tickets do you need to sell to get the maximum profit?
My answer: 280
b. What is the maximum profit?
My answer:Im not sure am not sure.
c. What price per ticket should you charge to make this profit? Explain how you figured this out.
My answer: I am not sure
Click here to see answer by ankor@dixie-net.com(22740)  |
Question 982907: I know that this is a long question but all the question have something to do with one another.
In 2005, some data was taken on the number of women in certain age groups who gave birth.
Table:
Age of Women 22 27 32
Number of women per
1000 who gave birth 102 116 96
(a) Determine f(x)=a(x-h)^2+k so that f models this data. (NOT 2 ax^2 bx+c )
(Use trial and error, and find values of a, h, and k to the tenths place to guarantee that your graph comes close enough to “go through” all 3 points on the table when on “ZOOM STAT”[as boxes in the TI-83/84].)
My answer:f(x)=-0.68(x-26.56)^2+116.1323
(b) Estimate the number of women per 1000 who give birth at age 35 according to your model.
My answer:67
(c) Where does it look like f(x)=0? (You will likely need to expand your window, especially since you used “ZoomStat”.)
My answer: I am not sure
What does this mean? Do you believe this? Is f(x)a perfect model of what really happens?
My answer: I am not sure
Click here to see answer by solver91311(24713)  |
Question 982907: I know that this is a long question but all the question have something to do with one another.
In 2005, some data was taken on the number of women in certain age groups who gave birth.
Table:
Age of Women 22 27 32
Number of women per
1000 who gave birth 102 116 96
(a) Determine f(x)=a(x-h)^2+k so that f models this data. (NOT 2 ax^2 bx+c )
(Use trial and error, and find values of a, h, and k to the tenths place to guarantee that your graph comes close enough to “go through” all 3 points on the table when on “ZOOM STAT”[as boxes in the TI-83/84].)
My answer:f(x)=-0.68(x-26.56)^2+116.1323
(b) Estimate the number of women per 1000 who give birth at age 35 according to your model.
My answer:67
(c) Where does it look like f(x)=0? (You will likely need to expand your window, especially since you used “ZoomStat”.)
My answer: I am not sure
What does this mean? Do you believe this? Is f(x)a perfect model of what really happens?
My answer: I am not sure
Click here to see answer by jim_thompson5910(35256) |
Question 982907: I know that this is a long question but all the question have something to do with one another.
In 2005, some data was taken on the number of women in certain age groups who gave birth.
Table:
Age of Women 22 27 32
Number of women per
1000 who gave birth 102 116 96
(a) Determine f(x)=a(x-h)^2+k so that f models this data. (NOT 2 ax^2 bx+c )
(Use trial and error, and find values of a, h, and k to the tenths place to guarantee that your graph comes close enough to “go through” all 3 points on the table when on “ZOOM STAT”[as boxes in the TI-83/84].)
My answer:f(x)=-0.68(x-26.56)^2+116.1323
(b) Estimate the number of women per 1000 who give birth at age 35 according to your model.
My answer:67
(c) Where does it look like f(x)=0? (You will likely need to expand your window, especially since you used “ZoomStat”.)
My answer: I am not sure
What does this mean? Do you believe this? Is f(x)a perfect model of what really happens?
My answer: I am not sure
Click here to see answer by josgarithmetic(39617) |
Question 983256: mr. robinson traveled to a city 260 miles from his home to attend a meeting. due to car trouble, his average speed returnting was 5 mpg less than his speed going. if the total time for the round trip was 12 hours, at what rate of speed did he travel to the city?( round off your answer to the nearest tenth.
the answer is 46 but how please explain
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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