Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1123136: The length of a standard jewel case is 5 cm more than its width. The area of the rectangular top of the case is 266 cm squared.

What is the length and width of the jewel case?

Click here to see answer by Boreal(15235) About Me 
Question 1123136: The length of a standard jewel case is 5 cm more than its width. The area of the rectangular top of the case is 266 cm squared.

What is the length and width of the jewel case?

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

Question 1123172: Jake and Mele deliver newspapers.
Jake has more newspapers to deliver than Mele.
If Jake gave Mele 23 newspapers, they would have the same number of newspapers.
If, instead, Mele gave Jake 7 newspapers, Jake would then have twice as many as Mele.
How many newspapers does each person actually have?

Click here to see answer by Boreal(15235) About Me 
Question 1123172: Jake and Mele deliver newspapers.
Jake has more newspapers to deliver than Mele.
If Jake gave Mele 23 newspapers, they would have the same number of newspapers.
If, instead, Mele gave Jake 7 newspapers, Jake would then have twice as many as Mele.
How many newspapers does each person actually have?

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

Question 1123175: Solve the equation by extracting the square roots. When a solution is irrational, list both the exact solution and its approximation rounded to two decimal places.
(4x + 7)2 = 44

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Question 1123166: Cynthia Besch wants to buy a rug for a room that is 26 ft wide and 34 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 384 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 1123166: Cynthia Besch wants to buy a rug for a room that is 26 ft wide and 34 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 384 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by greenestamps(13195) About Me 

Question 1123176: You construct an open box with a square base (see figure) from 189 square inches of material. The height of the box is 3 inches. What are the dimensions of the box? (Hint: The surface area is S = x2 + 4xh.)
Click here to see answer by josgarithmetic(39613) About Me 

Question 1123173: Rewrite the quadratic portion of the algebraic expression as the sum or difference of two squares by completing the square.
4/x^2 + 12x + 85

Click here to see answer by josgarithmetic(39613) About Me 

Question 1123174: Rewrite the quadratic portion of the algebraic expression as the sum or difference of two squares by completing the square.

1/64 − 12x − x^2

Click here to see answer by Edwin McCravy(20054) About Me 
Question 1123174: Rewrite the quadratic portion of the algebraic expression as the sum or difference of two squares by completing the square.

1/64 − 12x − x^2

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

Question 1123320:
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Question 1123401: -3x^2+25x+24=0
Click here to see answer by josgarithmetic(39613) About Me 

Question 1123409: An alloy contains 20% silver and 30% lead. How much silver and how much lead should be added to 100 pounds of the alloy in order to obtain 25% silver and 33% lead
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Question 1123551:
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Question 1123747: A man travels 180km from his farm to town, In a loaded truck.on return journey he is able to travel 30km\h faster having unloaded his truck.he saves 1hour on return journey by travelling faster.


Table:
Under journey ke:from farm 2 town
From town to farm
.
distance,: 180km from farm to town 
Speed?
Time: 180 over x
From town to farm: distance??
Speed:x + 30
Time??

Click here to see answer by josgarithmetic(39613) About Me 

Question 1123777: If two opposite sides of a square are increased by 15 meters and the other sides are decreased by 13 meters, the area of the rectangle that is formed is 60 square meters. Find the area of the original square.
Click here to see answer by josgarithmetic(39613) About Me 

Question 1123774: A rectangle is 2 times as long as it is wide. If the area is 72 square feet, find its perimeter
Click here to see answer by josgarithmetic(39613) About Me 

Question 1123776: A large rectangular movie screen in an IMAX theater has an area of 7,254 square feet. Find the dimensions of the screen if it is 15 feet longer than it is wide.
Click here to see answer by Alan3354(69443) About Me 
Question 1123776: A large rectangular movie screen in an IMAX theater has an area of 7,254 square feet. Find the dimensions of the screen if it is 15 feet longer than it is wide.
Click here to see answer by ikleyn(52754) About Me 

Question 1123790: The base of a triangle is one-half as long as its height. If the area of the triangle is 169 square yards, find its height.
Click here to see answer by ikleyn(52754) About Me 

Question 1123791: An oriental rug is 3 feet longer than it is wide. If the diagonal of the rug is 12 feet, find its dimensions to the nearest tenth of a foot.
Click here to see answer by Alex.33(110) About Me 

Question 1123897: Please help me solve this equation by method of completing the square method: 2x^2+13x-15=0
Click here to see answer by Theo(13342) About Me 
Question 1123897: Please help me solve this equation by method of completing the square method: 2x^2+13x-15=0
Click here to see answer by MathTherapy(10549) About Me 
Question 1123897: Please help me solve this equation by method of completing the square method: 2x^2+13x-15=0
Click here to see answer by ikleyn(52754) About Me 

Question 1123995: Please help me solve this equation; use the method of completing the square, solve 5x^2+32x+10=0.
Click here to see answer by Theo(13342) About Me 
Question 1123995: Please help me solve this equation; use the method of completing the square, solve 5x^2+32x+10=0.
Click here to see answer by MathTherapy(10549) About Me 

Question 1124406: A vacant lot is being converted into a community garden. The garden and the walkway around its perimeter have an area of 238 ft2. Find the width of the walkway if the garden is 12 ft wide by 15 ft long.
*I am not sure where I am going wrong. I've set the problem to zero and then plugged each variable into the quadratic formula. However, the answer I keep getting when I go to confirm the solution is wrong.*

Click here to see answer by ikleyn(52754) About Me 

Question 1124407: A falling object travels a distance given by the formula d = 2t + 16t2, where t is measured in seconds and d is measured in feet. How long will it take for the object to travel 68 ft?
Click here to see answer by ikleyn(52754) About Me 

Question 1124490: Use the model for the period of a pendulum, T, such that T = 2π sqrt (L/ g),
where the length of the pendulum is L and the acceleration due to gravity is g.
If the acceleration due to gravity is 9.8 m/s2 and the period equals 5 s, find the length to the nearest cm
(100 cm = 1 m).

*For this, I am completely lost as to both how the equation should be set up and the steps needed to solve the problem. If someone could help, it would be greatly appreciated!*

Click here to see answer by ikleyn(52754) About Me 

Question 1124528: Use the model for the period of a pendulum, T, such that
T = 2π sqrt(L/g), where the length of the pendulum is L and the acceleration due to gravity is g.
If the gravity is 32 ft/s^2 and the period equals 9 s, find the length to the nearest in.
(12 in. = 1 ft).
Round your answer to the nearest in.
*The answer of 787 inches was incorrect so I am unsure where I am going wrong.*

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

Question 1124571: Find the quadratic function that has the given and goes through the given point. Vertex (4,6),point (-2,0).
Click here to see answer by josgarithmetic(39613) About Me 

Question 1124570: f(x)=-x2-14x-45
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Question 1124569: f (x)=x2+10
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Question 1124572: Graph the quadratic function f(X)=-(x+1)2+9
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Question 1124526: An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days after it broke out is given by the model
P = −t^2 + 17t + 180, where 1 ≤ t ≤ 6.
Find the day that 240 students had the flu. Recall that the restriction on t is at most 6.
t =

Click here to see answer by Boreal(15235) About Me 
Question 1124526: An epidemiological study of the spread of a certain influenza strain that hit a small school population found that the total number of students, P, who contracted the flu t days after it broke out is given by the model
P = −t^2 + 17t + 180, where 1 ≤ t ≤ 6.
Find the day that 240 students had the flu. Recall that the restriction on t is at most 6.
t =

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

Question 1124677: Find a formula for the quadratic function whose graph has y-intercept at y=13 and zeros at x=3 and x=5.
Click here to see answer by Boreal(15235) About Me 

Question 1124774: Find the nth term of:
4, 10, 18, 28, 40

Click here to see answer by josgarithmetic(39613) About Me 

Question 1125132: f(x)=22x-20(2x)+64
Click here to see answer by ikleyn(52754) About Me 

Question 1125140: a quadratic graph has maximum point (2,5) and passes through point (0,-3). Find the equation for the graph in the form y=ax^2+bx+c
Click here to see answer by Fombitz(32388) About Me 

Question 1125210: A promoter of a show realizes that, if the price per ticket is set at $650, only 50 people will watch the show. He also estimates that for every $50 decrease in the price of the ticket, the number of people watching the show will increase by 10. What should be the price per ticket so that the revenue is a maximum? What is the maximum revenue?
Click here to see answer by josgarithmetic(39613) About Me 

Question 1125211: An object is thrown vertically upward from the ground with a velocity of 96 ft/s. Its height, y, is measured in feet, after t seconds is given by y = 96t - 16t^2. How high will the object be after two seconds? After how many seconds will the object reach its maximum height? What is the maximum height?
Click here to see answer by solver91311(24713) About Me 

Question 1125275: Maria owns a cheese factory. The amount of cheese, in kilograms, that she sells in one week, Q, is given by
Q = 882 - 45p, where p is the price of a kilogram of cheese in euros (EUR).
Maria earns (p - 6.80) euros of profit for each kilogram of cheese sold.
-What price should Maria set for her cheese so that she earns a maximum profit?
-What is her maximum profit?

Click here to see answer by solver91311(24713) About Me 

Question 1125481: x2+8x+1=0
Click here to see answer by josgarithmetic(39613) 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