Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1026795: Find all values of p such that
2(x+4)(x-2p)
has a minimum value of -18.

Click here to see answer by josgarithmetic(39616) About Me 

Question 1026786: What is the maximum value of c such that the graph of the parabola y = 1/3*x^2 has at most one point of intersection with the line y = x+c?

Click here to see answer by robertb(5830) About Me 

Question 1026784: The school has begun selling a cookbook called "What Would Euler Eat?" If the price of the cookbook is n dollars (n <= 72), then it will sell 720 - 10n copies. What price (in dollars) will maximize the total revenue we receive for the books?
Click here to see answer by robertb(5830) About Me 

Question 1026793: (y+5)(y-7)=0
Click here to see answer by macston(5194) About Me 

Question 1026848: the length of a rectangle is 7 meters more than four times its width. If the area o the rectangle is 650 square meters, find the length and the width





Click here to see answer by mananth(16946) About Me 

Question 1026839: How are the graphs of the linear functions f(x) = x, k(x) = 3/4x, and t(x) = 4/3x the same? How are they different?
Click here to see answer by robertb(5830) About Me 

Question 1026913: A right triangle with a hypotenuse of 23 ft has a leg that measures 20ft. Find the length of the other leg.
Click here to see answer by ikleyn(52776) About Me 

Question 1026930: The temperature of a point (x,y) in the plane is given by the expression x^2 + y^2 - 4x + 2y. What is the temperature of the coldest point in the plane?

Click here to see answer by robertb(5830) About Me 
Question 1026930: The temperature of a point (x,y) in the plane is given by the expression x^2 + y^2 - 4x + 2y. What is the temperature of the coldest point in the plane?

Click here to see answer by richard1234(7193) About Me 
Question 1026930: The temperature of a point (x,y) in the plane is given by the expression x^2 + y^2 - 4x + 2y. What is the temperature of the coldest point in the plane?

Click here to see answer by ikleyn(52776) About Me 

Question 1026931: Given that xy = 3/2 and both x and y are nonnegative real numbers, find the minimum value of 10x + (3y)/(5).
Click here to see answer by robertb(5830) About Me 

Question 1026910: The base of a triangular sail is 16 m shorter than its height. The area is 130m squared. Find the base and height of the sail.
Click here to see answer by Cromlix(4381) About Me 

Question 1026907: the sail on the boat is in the shape of a triangle. if the height is 5 times the length of base and the area is 90 square feet, find the dimensions of the sail.
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Question 1027080: What is the smallest possible value of 2x^4 + 8/x^4 over all real nonzero values of x?
Click here to see answer by Fombitz(32388) About Me 

Question 1027081: Consider all the points in the plane that solve the equation x^2 + 2y^2 = 16. Find the maximum value of the product xy on this graph.
Click here to see answer by Fombitz(32388) About Me 

Question 1027110: Y=1/2x^2+5x+1 find the vertex, x intercepts and axis of symmetry
Click here to see answer by Boreal(15235) About Me 

Question 1027124: Please help me solve 3h^2 + 11h + 6
Click here to see answer by stanbon(75887) About Me 

Question 1027377: Cynthia Besch wants to buy a rug for a room that is 17 ft wide and 24 ft long. She wants to leave a uniform strip of floor around the rug. She can afford to buy 144 square feet of carpeting. What dimensions should the rug​ have?
Click here to see answer by Theo(13342) About Me 

Question 1027384: A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 528in^3​, what were the original dimensions of the piece of​ metal?
Click here to see answer by josgarithmetic(39616) About Me 

Question 1027457: Find the slope -intercept form of the equation:-x-5y-13=0
Click here to see answer by rfer(16322) About Me 

Question 1027481: The height of a rock above the ground is given by the equation h=-16t^2+24t+16. T is the time in seconds after the rock is thrown. It is thrown upward from a platform 16 feet above the ground. After how many seconds is the rock back to a height of 16 feet?
Click here to see answer by josmiceli(19441) About Me 

Question 1027506: The members of the Historical Society sold a number of tickets to the Easton town picnic and raised $240 from the sale. If the Society has lowered its price by $2 a ticket, the members would have needed to sell 20 more tickets to earn the $240. How many tickets did the Society members actually sell?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1027524: Which verbal description can be represented by a linear function?
An investment of $2600 is made that increases at a rate of 5% annually.
A baseball player throws a baseball and the height of the ball at each second is recorded.
A writer has a 500 page novel to write and each week, she completes eight pages.
A bacteria cell grows by a factor of four each day.

Click here to see answer by robertb(5830) About Me 

Question 1027389: A rectangular piece of metal is 10 in longer than it is wide. Squares with sides 2 in long are cut from the four corners and the flaps are folded upward to form an open box. If the volume of the box is 528in^3​, what were the original dimensions of the piece of​ metal?
Click here to see answer by mananth(16946) About Me 

Question 1027533: x= 2 3 4
y1= 4 5 6
y2= 6 11 18
y3= 4 8 16
Choose = , < , or > so that each statement is true.
When x=0, y1 ? y2
When x=5, y2? y3
Choose y1, y2, and y3 so that the statement is true.
When x=-1, ? < ? < ?

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

Question 1027532: Which table will have the greatest value of y when x = 7?
x 1 2 3
y 2 4 8
x 1 2 3
y 14 26 38
x 1 2 3
y 3 12 27

x 1 2 3
y 12 22 32

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

Question 1027651: The domain of both f(x) = x - 6 and g(x) = x + 6 is all real numbers.
What is the domain of h(x) = f(x)/g(x) ?

Click here to see answer by josgarithmetic(39616) About Me 

Question 1027646: Find all complex-number solutions
2x^2-3x-5=0
I just need to see steps on how to break this down. I know the first part is adding 5 to make C.

Click here to see answer by josgarithmetic(39616) About Me 
Question 1027646: Find all complex-number solutions
2x^2-3x-5=0
I just need to see steps on how to break this down. I know the first part is adding 5 to make C.

Click here to see answer by MathTherapy(10551) About Me 

Question 1027655: Find the values of x for which the combined function h(x) = f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x^2 - 9.
Click here to see answer by ikleyn(52776) About Me 

Question 1027658: Identify the domain of the combined function h(x) = f(x) · g(x), if the domain of f(x) is (4, 4.5], and the domain of g(x) is [4, 4.5).The domain of h(x) is...
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Question 1027653: Identify the domain of the combined function h(x) = f(x) * g(x), if the domain of f(x) is (4, 4.5], and the domain of g(x) is [4, 4.5).The domain of h(x) is
a. [4, 4.5]
b. (4, 4.5)
c. [4, 4.5)
d. (4, 4.5]

Click here to see answer by ikleyn(52776) About Me 

Question 1027650: I am struggling so much with trying to do this...please help :)
Create a graph of the combined function h(x) = f(x)/g(x) in which f(x) = x - 6 and g(x) = x + 6.
On the graph show the graphs of f(x) and g(x) also.

Click here to see answer by ikleyn(52776) About Me 

Question 1027738: Solve using quadratic formula.
1 over X^2 minus 3 equals 8 over x
The solution is -4 over 3 (plus or minus) the square root of 19 over 3. I don't understand how.

Click here to see answer by Theo(13342) About Me 
Question 1027738: Solve using quadratic formula.
1 over X^2 minus 3 equals 8 over x
The solution is -4 over 3 (plus or minus) the square root of 19 over 3. I don't understand how.

Click here to see answer by MathTherapy(10551) About Me 

Question 1027385: A building is 3 ft from an 11​-ft fence that surrounds the property. A worker wants to wash a window in the building 16 ft from the ground. He plans to place a ladder over the fence so it rests against the building.​ (5ft) He decides he should place the ladder 11 ft from the fence for stability. To the nearest tenth of a​ foot, how long a ladder will he​ need?
Click here to see answer by KMST(5328) About Me 

Question 1027809: Put the function y=10x(x+6) in factored form f(x)=a(x-r)(x-s) and state the values of a, r, and s.
a=
r=
s=

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

Question 1027817: Solving using the quadratic formula.
7x(x+2)+5=3x(x+1)
Do you first subtract the 3x^2 from 7x^2? I'm not 100% on how to work this through.

Click here to see answer by Cromlix(4381) About Me 
Question 1027817: Solving using the quadratic formula.
7x(x+2)+5=3x(x+1)
Do you first subtract the 3x^2 from 7x^2? I'm not 100% on how to work this through.

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

Question 1027824: Find the vertex of the parabola y=4-x%5E2
x=
y=

Click here to see answer by ikleyn(52776) About Me 

Question 1027833: Find a quadratic function F(x) that takes its largest value of 200 at x=3, and express it in standard form F(x)= ax%5E2%2Bbx%2Bc. Give the values of a,b, and c.
a=
b=
c=

Click here to see answer by ikleyn(52776) About Me 

Question 1027866: If the perimeter of a rectangle is 46 cm and the area is 120 square cm, then what are the dimensions of the rectangle?
The width, or shorter side is
The length, or longer side is

Click here to see answer by ikleyn(52776) About Me 

Question 1027893: What would the expression be for the the average rate of change of the function g(x) = -x^2 - 4x on the interval 6 ≤ x ≤ 8
Click here to see answer by josgarithmetic(39616) About Me 

Question 1027882: Bradley flies a plane against a headwind for 2501 miles. The return trip with the wind took 20 hours less time. If the wind speed is 10 mph, how fast does Bradley fly the plane when there is no wind?
Click here to see answer by josgarithmetic(39616) About Me 

Question 1027868: The length of a rectangle is 10 feet linger that it is wide. If each side is increased by 10 feet, then the area is multiplied by 3. What was the size of the original rectangle?
The width or the shorter side is
The length or the long side is

Click here to see answer by josgarithmetic(39616) 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