Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 1057689: What is the sum of 8 and -9?
Click here to see answer by ikleyn(52776)

Question 1057744: If we add 2m to a side of a square its surface will increase with 24 s.m. Find the side of the square.
Click here to see answer by math_helper(2461)

Question 1057887: (a) For the parabola y= -5x^2+7x+1 find the vertex.
(b) Does the vertex correspond to the highest point or the lowest point on the graph?

Click here to see answer by josgarithmetic(39616)

Question 1057941: If x2 + y2 = 32 and 2x - 2y = 6, then what is x? If there are two possible answers, then enter the larger of the two.
Click here to see answer by josgarithmetic(39616)

Question 1057941: If x2 + y2 = 32 and 2x - 2y = 6, then what is x? If there are two possible answers, then enter the larger of the two.
Click here to see answer by MathTherapy(10551)

Question 1057931: Two water pipes together can fill a certain tank in 8.4 h. The smaller pipe alone takes 1.7 h longer than the larger pipe to fill that same tank. How long would it take the larger pipe alone to fill the tank? Keep three significant digits.
Click here to see answer by josgarithmetic(39616)

Question 1057940: When firefighters fight a grass fire, they prefer to stand back from the edge of the fire and "lob" the water from the hose onto the fire. The stream of water is under high pressure, and the water can be airborne for some period of time. If the spray of the water leaving the hose is modelled by the equation d = - 1.5 t2 + 60, where d represents the distance (in metres) between the hose and the fire and t represents the time (in seconds) elapsed since the water was sprayed (at a constant high pressure), determine how long the water remains in the air after leaving the nozzle. Round the answer to 3 significant digits.

Click here to see answer by stanbon(75887)

Question 1058008: Two cyclists, 25 KM apart set out at the same time and meet in 50 minutes. Had they been cycling in the same direction the faster would have overtaken the slower in 5 hours. Find their cycling speeds.
Click here to see answer by josmiceli(19441)

Question 1058356: What is the minimum value of y = 2x^2-8x +11?
Click here to see answer by Alan3354(69443)

Question 1058356: What is the minimum value of y = 2x^2-8x +11?
Click here to see answer by ewatrrr(24785)

Question 1058480: How do I simplify the expression (-5+i)/2i ?
Click here to see answer by Fombitz(32388)

Question 1058485: What is the maximum value and range of the function y=-2x^2+32x-12
Click here to see answer by Fombitz(32388)

Question 1058527: An architect is designing an atrium for a hotel. The atrium is to be rectangular with a perimeter of 688 ft of brass piping. What dimensions will maximize the area of the atrium?
Click here to see answer by ikleyn(52776)

Question 1058530: If an object is thrown downward with an initial velocity of v0, then the distance it travels is given by s=4.9t^2 + v0t. An object is thrown downward from a cliff 500 m high and it travels 183.5 m in 3 sec. What was the initial velocity of the object?
Click here to see answer by ikleyn(52776)

Question 1058539: Researchers at a university need a 10,000 square meter rectangular plot on which to grow three hybrids of corn. The plot is to be enclosed by fencing and divided into three equal subplots by a pair of fences both parallel to the same pair of sides of rectangle. If 600 meters of fencing are to be used for the project, what are the dimensions of the plot? Thank you!
Click here to see answer by ikleyn(52776)

Question 1058553: 2x^2 +3x - 1
Click here to see answer by solve_for_x(190)

Question 1058553: 2x^2 +3x - 1
Click here to see answer by Alan3354(69443)

Question 1058784: A labourer built 35m of stone wall. If she had built 2m less each day, it would have taken her 2 days longer. How many metres did she build each day, working at her usual rate?
Click here to see answer by Boreal(15235)

Question 1058783: A certain punch press requires 3h longer to stamp a box of parts than does a newer-model punch press. After the older press has been punching a box of parts for 5h , it is joined by the newer machine. Together, they finish the box of parts in 3 additional hours. How long does it take each machine, working alone, to punch a box of parts?
Click here to see answer by Boreal(15235)

Question 1058934: A rectangular playground is to be fenced so that one of the sides is 16 feet longer than an adjacent side (s). Which of the following quadratic functions can be used to represent the area of the playground?
A=s^2
A=16S^2
A=S^2+16s
A=s^2+16
Can u please show me the method to solve and the answer?
Thanks much!!

Click here to see answer by josgarithmetic(39616)

Question 1059065: Find the dimensions of a rectangular field that has a perimeter of 724m and an area of 32,400m^2 .
Click here to see answer by jorel555(1290)

Question 1059096: How do you solve 2=-10/x - 5/x^2.
Please provide steps, I will need this as reference for other similar problems.
Thanks!
Click here to see answer by josgarithmetic(39616)

Question 1059193: Solve the system of equations.
1.
y = x - 1
x^2 + y^2 = 25
2.
x + y = 1
y = x^2 - 5

Click here to see answer by math_helper(2461)

Question 1059331: how to write a quadratic equation with the roots 4 and -4 with the coefficient of 5.
Click here to see answer by ikleyn(52776)

Question 1059330: Suppose you want to build a rectangular picture frame where the width is 2
inches more than the length and the diagonal is 4 inches longer than the length. What are the dimensions of the picture frame?
Click here to see answer by josgarithmetic(39616)

Question 1059334: The perimeter of a rectangle is 48 yards. What are the dimensions of the rectangle with maximum area?
Click here to see answer by ikleyn(52776)

Question 1059417: 6x^2+13x-8 into vertex form

Click here to see answer by Fombitz(32388)

Question 1059622: The function y = −x2 + 24x represents a model of the daily profit y in dollars earned by a restaurant when x people dine there for a day.
a. How many people need to eat there in order for the profit to be at least $80? Show your work.

b. How many people need to eat there in order for the profit to be more than $108?

c. Is it possible for the restaurant to lose money (make a negative profit) for a day? Explain.

Click here to see answer by Boreal(15235)

Question 1059682: the muzzle velocity of a cannon is 480 feet per second. If a cannonball is fired vertically, at what times will it be at a height of 3,344 feet?
Click here to see answer by stanbon(75887)

Question 1059705: Solve the equation by completing the square and applying the square root property. Write imaginary solutions in the form a+bį.
So far I have...
-3y-10=-y^2
y^2-3y=10
Then what?
Click here to see answer by josmiceli(19441)

Question 1059706: Solve the equation by completing the square and applying the square root property. Write imaginary solutions in the form a+bį.
2a^2+4a+5=0
2a^2+4a=-5
((2a^2)/2)+(4a/2))=(-5/2)
(1/2(2)^2)=1
a^2+2a+1=-5/2+1
(a+1)^2=(-5/2)+(2/2)
(a+1)^2=-3/2
sqrt (a+1)^2=sqrt(-3/2)
a+1=+or- sqrt(3/2)į
Click here to see answer by josgarithmetic(39616)

Question 1059704: Solve the equation by using the square root property. Write imaginary solutions in the form a+bį.
(m+(4/5))^2+3/25=0
I know the LCD is 25 and so I multiply each side by the LCD making it
25(m+(4/5))^2+25(3/25)=25(0)
But then I'm stuck.
Click here to see answer by josgarithmetic(39616)

Question 1059606: The width of a rectangle is 1 inch less than twice the side of a square. the length of a rectangle is three times the side of the square. if the area of the rectangle is 36 in.� more than the area of the square then find the side of the square
Click here to see answer by josgarithmetic(39616)

Question 1059703: The hypotenuse of a right triangle is 10.2 m long. One leg is 2.1 m shorter than the other leg. Find the lengths of the legs. Round to one decimal place.
So I know it's written as (X)^2 + (X-2.1)^2= (10.2)^2

Click here to see answer by Fombitz(32388)

Question 1059824: After winning the championship, all Dallas Maverick teammates hugs. Altogether there were 66 hugs. How many players were there?
Click here to see answer by jim_thompson5910(35256)

Question 1059845: The product of two consecutive positive even numbers is 288. By forming and solving an equation, find the larger of the two numbers
Click here to see answer by acw1213(28)

Question 1059845: The product of two consecutive positive even numbers is 288. By forming and solving an equation, find the larger of the two numbers
Click here to see answer by Alan3354(69443)

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