Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1139183: The hypotenuse of a right triangle is 25 ft long. One leg is 17 ft longer than the other. Find the lengths of the legs.
Click here to see answer by Alan3354(69443) About Me 
Question 1139183: The hypotenuse of a right triangle is 25 ft long. One leg is 17 ft longer than the other. Find the lengths of the legs.
Click here to see answer by greenestamps(13198) About Me 

Question 1139256: Write the quadratic equation whose roots are 3 and 2, and whose leading coefficient is 3.
Click here to see answer by rothauserc(4718) About Me 

Question 1139285:
Click here to see answer by Shin123(626) About Me 

Question 1139518: The interval PQ has length p and the point A lies between the points P and Q. Find PA when PQ x QA = PA^2
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Question 1139591: The cost C (in dollars) for a company to produce and sell x thousand gadgets is given by C=1%2F30+x%5E2-2x%2B2530
What is the minimum cost?
I've found that the start up cost is 2530 dollars.

Click here to see answer by jim_thompson5910(35256) About Me 

Question 1139695: is a =3, b=-2, and c=-5, evaluate the following expressions:
ab+(ac^2-bc)

Click here to see answer by ikleyn(52765) About Me 

Question 1139714: an object is thrown upward from the top of a 64 foot building with an initial velocity of 48 feet per second. the height h of the object after t seconds is given by the quadratic equation h= -16t^2+48t+64. When will the object hit the ground?
Click here to see answer by ikleyn(52765) About Me 

Question 1139766: when an object is dropped from a building, the height of the object above the ground is given by the formula h=-4.9x to the 2nd power + 44.1 where h is the meters and x is the time in seconds. How long does it take for the object to reach the ground

Click here to see answer by ikleyn(52765) About Me 

Question 1139835: Two pipes are used to fill a pool. One pipe can fill the pool in 3 hours while the other pipe can fill the pool in 6 hours. The drain, which can empty the pool in 8 hours, was accidentally left open. How long will it take the pool tp fill completely?
Click here to see answer by ikleyn(52765) About Me 

Question 1139836: Two pipes are used to fill a pool. One pipe can fill the pool in 3 hours while the other pipe can fill the pool in 6 hours. The drain, which can empty the pool in 8 hours, was accidentally left open. How long will it take the pool to fill completely?
Click here to see answer by ikleyn(52765) About Me 

Question 1139838: In an experiment, a ball is released from a building. If the height of the ball after released is given by the equation h= -4.9t2+19.6t=686, where h is the height of the ball and t is the elapsed time after it is released, after how many seconds will the ball hit the ground?
Click here to see answer by ikleyn(52765) About Me 

Question 1139837: Suppose you were asked to place square carpet on the floor of a square room. You are told that three times the area of the square room is equal to the product of 6m and its perimeter. How much carpeting materials do you need to cover the entire floor?
Is the answer 64m2 correct?

Click here to see answer by ikleyn(52765) About Me 

Question 1139834: A table top is in the shape of a square. If the numerical values of twice the area of the square and thrice its perimeter added, the sum is 32. What is the measure of the side of the square table?
Click here to see answer by ikleyn(52765) About Me 

Question 1139833: A carabao can plough a farmer's land in 6 hours. A tractor can plough the land in 4 hours. The farmer used the carabao to plough the land for 2 hours, after which, another farmer decided to help him using the tractor. How long did it take the farmers tofinish ploughing the land?
Click here to see answer by Theo(13342) About Me 

Question 1139832: An unfinished quilt in the shape of a triangle has an area of 27m2. If the base of the triangular quilt is 3m more than the height, what are the dimensions of the triangular quilt?
Click here to see answer by rothauserc(4718) About Me 

Question 1139880: A model rocket is launched with an initial velocity of 160 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by
h = −16t2 + 160t.
How many seconds after launch will the rocket be 380 ft above the ground? Round to the nearest hundredth of a second.

Click here to see answer by Alan3354(69443) About Me 
Question 1139880: A model rocket is launched with an initial velocity of 160 ft/s. The height, h, in feet, of the rocket t seconds after the launch is given by
h = −16t2 + 160t.
How many seconds after launch will the rocket be 380 ft above the ground? Round to the nearest hundredth of a second.

Click here to see answer by ikleyn(52765) About Me 

Question 1139908: This question needs to be solved using any method and rounded to the nearest hundredth if needed. (and it's a quadratic!)

x2 + x − 30 = 0

Click here to see answer by Theo(13342) About Me 

Question 1140002: Two negative integers are 5 units apart on the number line, and their product is 126. What is the sum of the two integers?
Click here to see answer by josgarithmetic(39615) About Me 

Question 1140025: Which equation yields the solutions x=−2 and x=5?
Click here to see answer by MathLover1(20849) About Me 

Question 1139972: The depth d of a liquid in a bottle with a hole of area 0.5 cm2 in its side can be approximated by
d = 0.0034t2 − 0.52518t + 20,
where t is the time since a stopper was removed from the hole. When will the depth be 14 cm? Round to the nearest tenth of a second.

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1140246: I'm sort of confused on how to factor this polynomial:
3m^4+243
My Work:
3m^4 +243 =
3(m^4 +81)
3(m^2+9^2)
But now I am not sure what to do.

Click here to see answer by josgarithmetic(39615) About Me 

Question 1140239: If the outside dimention of the rectangle flower garden bed including the pathway is 72 by 108cm.if the area of the flower garden bed excluding the pathway is 6400cm² and the pathway has uniform width how wide is the pathway?
Click here to see answer by josgarithmetic(39615) About Me 

Question 1140274: Lisa has a rectangular garden which is 23 feet long and 15 feet wide. She has 240 square foot of paving stones, and she wants to build a pathway around the border of the garden, like the diagram below:
Click here to see answer by Alan3354(69443) About Me 

Question 1140363: A cargo service operates by running a ship between Port A and Port B, a distance of 70km, at a constant speed of V kilometres per hour. For a given V the cost per hour of running the ship is 9000 + IOV^2 dollars. Find the value of V which minimises the cost of the trip.
Click here to see answer by greenestamps(13198) About Me 

Question 1140471: Write the quadratic equation whose roots are
−4 and 6, and whose leading coefficient is 2.
(Use the letter x to represent the variable.)

Click here to see answer by MathLover1(20849) About Me 

Question 1140472: Write the quadratic equation whose roots are -4 and 6, and whose leading coefficient is 2

(Use the letter x to represent the variable.)

Click here to see answer by MathLover1(20849) About Me 

Question 1140542: Write the quadratic equation whose roots are -1
and 2 , and whose leading coefficient is 2.
(Use the letter x to represent the variable.)

Click here to see answer by Boreal(15235) About Me 

Question 1140541: Write the quadratic equation whose roots are -1
and 2 , and whose leading coefficient is 2.
(Use the letter x to represent the variable.)



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Question 1140598: rule of this mapping 3,7-4,10-6,16
Click here to see answer by ikleyn(52765) About Me 

Question 1140675: a farmer sells sheep at $75 a head. the sheep cost $x each. the farmer finds she has made x% profit on the sale of the sheep. find x
I know the answer is 50 but i can't figure it out how they manage to find that number

Click here to see answer by ikleyn(52765) About Me 
Question 1140675: a farmer sells sheep at $75 a head. the sheep cost $x each. the farmer finds she has made x% profit on the sale of the sheep. find x
I know the answer is 50 but i can't figure it out how they manage to find that number

Click here to see answer by MathTherapy(10549) About Me 

Question 1140972: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 -7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Click here to see answer by Alan3354(69443) About Me 
Question 1140972: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2 -7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Click here to see answer by MathLover1(20849) About Me 

Question 1141236: 60X^4Y^-3Z^-8R^6
12X^9Y-6Z-4R^-3

Click here to see answer by Alan3354(69443) About Me 

Question 1141235: -103[x^4Y^5Z^11]0
Click here to see answer by Alan3354(69443) About Me 

Question 1141234: x+2y=20
2x-2y=-6

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Question 1141233: x^2+8×+15.75=0
Click here to see answer by greenestamps(13198) About Me 

Question 1141219: A football is kicked at ground level with initial velocity of 64 feet per second.
1. Y=-16t^2 + 64t
2. Y= -16(t-2)^2 + 64
3. Y=-16t(t-4)
For each of the following situations determine which form of the equation would provide with the information needed in the most efficient manner.
a. The height after 3 seconds is _____.
b. The time when the football hits the ground is _____.
C. An estimate of the time when the football is 40 feet high is ____.

Click here to see answer by Boreal(15235) About Me 

Question 1141353: In two or more complete sentences, compare the number of x-intercepts in the graph of f(x) = x^2 to the number of x-intercepts in the graph of g(x) = x^2-7. Be sure to include the transformations that occurred between the parent function f(x) and its image g(x).

Click here to see answer by josmiceli(19441) About Me 

Question 1141406: How do I solve for x for the equation x^4-11x^2+10=0? I don't know how to make it into a quadratic equation. No similar example appears to be found on my Algebra books.
Click here to see answer by josgarithmetic(39615) About Me 

Question 1141405: How do I solve for x or even turn x^1/2-9x^1/4+20=0 into a quadratic equation? none of my books would give me a similar example.
Click here to see answer by josgarithmetic(39615) About Me 
Question 1141405: How do I solve for x or even turn x^1/2-9x^1/4+20=0 into a quadratic equation? none of my books would give me a similar example.
Click here to see answer by greenestamps(13198) About Me 

Question 1141444: How would I solve for x on this quadratic inequality? this is the one that's been puzzling me: (x+5)(x-2)(x-7)≤0
Here are the multiple choice answers: https://i.imgur.com/oEmAOtH.png

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