Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1074358: A framed painting has overall dimensions of 32"x29". the area of the painting itself is 550sq". Find the width of the fame. Please show the work. Thank you!
Click here to see answer by josmiceli(19441) About Me 
Question 1074358: A framed painting has overall dimensions of 32"x29". the area of the painting itself is 550sq". Find the width of the fame. Please show the work. Thank you!
Click here to see answer by ikleyn(52765) About Me 

Question 1074366: the area of a rectangular picture is 160 cm ( squared)and the width is 4 cm less than the length, find this width in cm, correct significant figures
Click here to see answer by ikleyn(52765) About Me 
Question 1074366: the area of a rectangular picture is 160 cm ( squared)and the width is 4 cm less than the length, find this width in cm, correct significant figures
Click here to see answer by MathTherapy(10549) About Me 

Question 1074412: When you open a book the product of ithe pages you are looking at is 5700. What
are those pages?

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

Question 1074414: The length of a rectangular garden is 2 ft less than the triplex of its width. If area is
21 ft2
, set the length and width.

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

Question 1074413: Lorna wants to enclose a rectangular area next to the river. She only has 400 ft. of
fence and she wants to enclose an area of 1500 ft2
, set the rectangular area
dimensions

Click here to see answer by josgarithmetic(39615) About Me 
Question 1074413: Lorna wants to enclose a rectangular area next to the river. She only has 400 ft. of
fence and she wants to enclose an area of 1500 ft2
, set the rectangular area
dimensions

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

Question 1074494: How far will the shot be horizontally from where Andy releases it when it first lands on the field? Explain your answer. The trajectory of the shot is modelled by equation y=x^2/10+9x/10+11/5.
Click here to see answer by ikleyn(52765) About Me 

Question 1074537: A company buys a new pump that can pump 10.0 gal./min faster than its old one. It can fill the company's 500.0 gallon tank 15.0 minutes faster than the old pump. What was the speed of the old pump?
Click here to see answer by josmiceli(19441) About Me 

Question 1074530: A truck travels 320 km to a delivery point, unloads, and, now empty, returns to the starting point at a speed 8.00 km/h greater than on the outward trip. What was the speed of the outward trip if the total round-trip driving time was 13.4 h? Keep three significant digits.
Click here to see answer by josgarithmetic(39615) About Me 

Question 1074571: Determine the quadratic function f whose graph has the following,
The vertex is (2,−1) and the other given point is (3,1) in form f(x) = ax^2+bx+c,

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Question 1074571: Determine the quadratic function f whose graph has the following,
The vertex is (2,−1) and the other given point is (3,1) in form f(x) = ax^2+bx+c,

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

Question 1074586: How far will the shot be horizontally from where Andy releases it when it first lands on the field? Explain your answer. The discriminant of the equation is 13, but what does it mean in regards to how fare the shot was? Equation is y= -x^2/10+9x/10+11/5.
Click here to see answer by ikleyn(52765) About Me 

Question 1074638: 10y-40(1-y^2)=49y
Click here to see answer by Fombitz(32388) About Me 

Question 1074695: Hi. I've tried this problem multiple times now, but I'm still not getting an answer that would make sense. Can anyone please help me?
The problem is:
The outside of a picture frame measures 12in by 18in. 72in^2 of the picture shows. Find the thickness of the frame.
Any ideas? So far I have gotten ridiculous solutions like 17, 12 and 3.

Click here to see answer by josgarithmetic(39615) About Me 
Question 1074695: Hi. I've tried this problem multiple times now, but I'm still not getting an answer that would make sense. Can anyone please help me?
The problem is:
The outside of a picture frame measures 12in by 18in. 72in^2 of the picture shows. Find the thickness of the frame.
Any ideas? So far I have gotten ridiculous solutions like 17, 12 and 3.

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

Question 1074712: (2x+3)(x+2)=(x+3)(x+4)

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

Question 1074838: determine the nature of the solution to each system of linear equations. y=3/7x-8 3x-7y=1
Click here to see answer by josgarithmetic(39615) About Me 

Question 1074880: two storage sheds are to have the same area. one is square and one is rectangular. the rectangular shed is 2 meters wide and 8 meters long.
how large is one side of the square shed in meters?

Click here to see answer by Fombitz(32388) About Me 

Question 1074883: If two prime numbers are roots of the equation x^2-12x+k=0, what is the value of k?
Click here to see answer by Boreal(15235) About Me 
Question 1074883: If two prime numbers are roots of the equation x^2-12x+k=0, what is the value of k?
Click here to see answer by ikleyn(52765) About Me 

Question 1074895: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28.
Click here to see answer by Boreal(15235) About Me 

Question 1074893: For what real values of c is x^2 + 16x + c the square of a binomial? If you find more than one, then list your values separated by commas.

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

Question 1074922: What are the roots of this quadratic equation? 2x^2+8x+7
Click here to see answer by Boreal(15235) About Me 

Question 1074916: the larger of two numbers is 24 less than the square of the smaller. If the larger number is divided by the smaller one, the quotient is -5. Find the larger of the two numbers.
Click here to see answer by jorel1380(3719) About Me 

Question 1074984: Construct the quadratic equation of roots 3+root5 n 3-root5

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Question 1074884: For specific positive numbers m and n, the quadratics 16x^2+36x+56 and (mx+n)^2 differ only in their constant term. What is mn?
Click here to see answer by Fombitz(32388) About Me 

Question 1075030: The length of a rectangle is 2 feet longer than the width. The area of the rectangle is 8 square feet. Draw the graph of the function A(w) that represents this problem. Determine the maxima or minima.

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

Question 1075032: Diesel Inc. is making frames for a new product being launched at the end of the year. To keep the weight down, the area of the frame should be 18 cm^2. The inside of the frame has to be 11 cm by 6 cm. What should the width of the frame be?

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

Question 1075031: Tommy and Zach are starting out at the same position. Tommy runs north at 3 miles per hour and Zach starts to run east 2 hours later at the rate of 4 miles per hour. How long until Tommy and Zach are 8 miles apart?

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

Question 1075198: given x+y = 2 and y= x^-x-2, find the x-intercepts and y intercepts of the parabola
Click here to see answer by Fombitz(32388) About Me 

Question 1075214: What is the quadratic equation in standard form with set of points (0,-4) (1,0) (2,-2)

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

Question 1075503: Daisy and Johnny are mowing a rectanglar lawn that is 50m by 80m. Johnny mows a strip of uniform width inside the perimeter of the lawn and Daisy mows the inner rectangle. How wide is the strip if Johnny mows 4 times as much as Melinda?
Click here to see answer by Boreal(15235) About Me 

Question 1075521: Match each quadratic equation with the best way to solve it.
http://imgur.com/SHZAg8h

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

Question 1075516: A ball is thrown strait up, from 2m above the ground, with a velocity of 7 m/s. When does it hit the ground?
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Question 1075571: 1 fractional solution and 1 integer solution that opens up

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

Question 1075594: For what real values of a is x^2 + ax + 25 the square of a binomial? If you find more than one, then list your values in increasing order, separated by commas.

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

Question 1075592: If the quadratic x^2+6mx+m has exactly one real root, find the positive value of
m.

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Question 1075591: If c is a nonzero constant such that x^2+cx+9c is equal to the square of a binomial, then what is c?
Click here to see answer by Boreal(15235) About Me 

Question 1075636: Find all pairs of real numbers (x,y) such that x + y = 6 and x^2 + y^2 = 28. If you find more than one pair, then list your pairs in order by increasing x value, separated by commas.
Click here to see answer by josgarithmetic(39615) About Me 

Question 1075643: 4x^4+11x^2=3
Click here to see answer by Alan3354(69443) About Me 

Question 1075689: Please help me solve this problem : Find the value of the constant k such that the ratio of the two
solution of the quadratic equation 2x2 - kx+ k +2 = 0 is 3:2

Click here to see answer by josgarithmetic(39615) About Me 
Question 1075689: Please help me solve this problem : Find the value of the constant k such that the ratio of the two
solution of the quadratic equation 2x2 - kx+ k +2 = 0 is 3:2

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

Question 1075691: Please help me solve this problem : Two plans travel at right angels to each other after leaving the same airport at the same time . One hour later they are 260 miles apart .If one travels 140 miles per
hour faster than the other .What is the rate of each ?

Click here to see answer by josmiceli(19441) 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