Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 1118427: z^2-4z=0
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118427: z^2-4z=0
Click here to see answer by greenestamps(13200) About Me 
Question 1118427: z^2-4z=0
Click here to see answer by Alan3354(69443) About Me 
Question 1118465: A number is 64 times the square of its reciprocal. What is the number?
Click here to see answer by Theo(13342) About Me 
Question 1118517: a garden 7 m by 12 m will be expanded by planting a border of flowers. the border will be of the same width around the entire garden and has an area of 92 m^2
Click here to see answer by ikleyn(52781) About Me 
Question 1118517: a garden 7 m by 12 m will be expanded by planting a border of flowers. the border will be of the same width around the entire garden and has an area of 92 m^2
Click here to see answer by Boreal(15235) About Me 
Question 1118516: a realty developer sells residential lots for php 4,000 per square meter plus a processing fee of php 25,000. one of the lots the realty developer is selling cots php 625,000.. Quadratic or not?
Click here to see answer by ikleyn(52781) About Me 
Question 1118516: a realty developer sells residential lots for php 4,000 per square meter plus a processing fee of php 25,000. one of the lots the realty developer is selling cots php 625,000.. Quadratic or not?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118516: a realty developer sells residential lots for php 4,000 per square meter plus a processing fee of php 25,000. one of the lots the realty developer is selling cots php 625,000.. Quadratic or not?
Click here to see answer by solver91311(24713) About Me 
Question 1118600: The area of a rectangle is 27 square meters. If the length is 6 meters less than 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.












Click here to see answer by josgarithmetic(39617) About Me 
Question 1118600: The area of a rectangle is 27 square meters. If the length is 6 meters less than 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.












Click here to see answer by ikleyn(52781) About Me 
Question 1118600: The area of a rectangle is 27 square meters. If the length is 6 meters less than 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.












Click here to see answer by t0hierry(194) About Me 
Question 1118599: If the sides of a square measure 10units, then find the length of the diagonal.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118598: The area of a rectangle is 60 square inches. If the length is 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118598: The area of a rectangle is 60 square inches. If the length is 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.
Click here to see answer by ikleyn(52781) About Me 
Question 1118596: A positive real number is 2 less than another. When 4 times the larger is added to the square of the smaller, the result is 49. Find the numbers.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118597: A positive real number is 6 less than another. If the sum of the squares of the two numbers is 38, then find the numbers.
Click here to see answer by Alan3354(69443) About Me 
Question 1118597: A positive real number is 6 less than another. If the sum of the squares of the two numbers is 38, then find the numbers.
Click here to see answer by ikleyn(52781) About Me 
Question 1118617: The area of a rectangle is given by A=6x^2 +25x+14. Determine the expressions for the length and width of the rectangle.Explain
Thank you
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118618: Linda maintains the garden at her home. In the summer she plans to build a walkways through the garden. The area of the walkway, A, in square metres is given by A=90x+3x^2 where x is the width of the walkway in metres. If the area of the walkway must be 3000m^2 determine the width, explain.
Thank you.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118618: Linda maintains the garden at her home. In the summer she plans to build a walkways through the garden. The area of the walkway, A, in square metres is given by A=90x+3x^2 where x is the width of the walkway in metres. If the area of the walkway must be 3000m^2 determine the width, explain.
Thank you.
Click here to see answer by ikleyn(52781) About Me 
Question 1118619: Examine the quadratic relation y=4x^2-4x+1
a) express the relation in factored form
b) determine the zeros.
c)Determine the coordinates of the vertex.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118619: Examine the quadratic relation y=4x^2-4x+1
a) express the relation in factored form
b) determine the zeros.
c)Determine the coordinates of the vertex.
Click here to see answer by ikleyn(52781) About Me 
Question 1118664: Ana wants to build a wooden box with a square base and a height of 1 foot. Then she will paint the outer surface of the box. Ana has a small can of paint that will cover 30 square feet. The outer surface area of the box is given by the function f(x)=x^2+4x
A.What equation can you use to determine the dimensions of a box whose outer surface area is 12.square feet?
B.Find the length of the box by solving the equation you wrote in part a
C. Describe how you would solve the equation you wrote in part a using a graph
D. Suppose Ana wants to use all the paint she has what is the measure of the length of the base x of the largest box she can build
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118675: Suppose the annual cost per active-duty armed service member in a certain country increased from $80,000 in 1995 to $90,000 in 2000. In 1990, there were 2 million armed service personnel and this number decreased to 1.5 million in 2000. Use linear models for annual cost and personnel to estimate, to the nearest $10 million, the rate of change of total military personnel costs in 1998.
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118687: Jane can kick a soccer ball with a path modelled by h=-(x-19)^2+17, where h is the height of the soccer ball and x is the distance the soccer ball is kicked. Both distances are measured in metres. How far was the ball kicked?
Thank you
Click here to see answer by ikleyn(52781) About Me 
Question 1118523: For the following demand equation, find the largest possible revenue.
q = -2p + 1,000
a. 375,000
b. 250
c. 250,000
d. 125,000
e. 500
Click here to see answer by greenestamps(13200) About Me 
Question 1118694: Jack kicked a soccer ball. The height of the ball, h, in metres, can be modelled by h=-2.4x^2+12x, where x is the horizontal distance from where he kicked the ball.
How far did Jack kick the ball?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118702:
Click here to see answer by Alan3354(69443) About Me 
Question 1118705: A video tracking device recorded the height h, in metres, of a baseball after it was hit into the air. The data collected can be modelled by the quadratic relation h=-3(t-3)^2+18, where t is the time in seconds after the ball was hit.
a) What was the maximum height reached by the baseball?
b) When did the baseball reach its maximum height?
c) At what time(s) was the baseball at the height of 10m?
d) Approximately when did the baseball hit the ground?


Thank you
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118705: A video tracking device recorded the height h, in metres, of a baseball after it was hit into the air. The data collected can be modelled by the quadratic relation h=-3(t-3)^2+18, where t is the time in seconds after the ball was hit.
a) What was the maximum height reached by the baseball?
b) When did the baseball reach its maximum height?
c) At what time(s) was the baseball at the height of 10m?
d) Approximately when did the baseball hit the ground?


Thank you
Click here to see answer by MathTherapy(10552) About Me 
Question 1118705: A video tracking device recorded the height h, in metres, of a baseball after it was hit into the air. The data collected can be modelled by the quadratic relation h=-3(t-3)^2+18, where t is the time in seconds after the ball was hit.
a) What was the maximum height reached by the baseball?
b) When did the baseball reach its maximum height?
c) At what time(s) was the baseball at the height of 10m?
d) Approximately when did the baseball hit the ground?


Thank you
Click here to see answer by ikleyn(52781) About Me 
Question 1118719: (x-4)²+8=0
(x+2)²=3(x+2)
(2x-1)²=(x+1)²
2x(x+4)=(x-3)(x-3)
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118720: 3m+8=15, is it quadratic or not quadratic?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118720: 3m+8=15, is it quadratic or not quadratic?
Click here to see answer by ikleyn(52781) About Me 
Question 1118742: The Royal Fruit Company produces two types of fruit drinks. The first type is 40%
pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 18 pints of a mixture that is 55% pure fruit juice?
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118742: The Royal Fruit Company produces two types of fruit drinks. The first type is 40%
pure fruit juice, and the second type is 100% pure fruit juice. The company is attempting to produce a fruit drink that contains 55% pure fruit juice. How many pints of each of the two existing types of drink must be used to make 18 pints of a mixture that is 55% pure fruit juice?
Click here to see answer by ikleyn(52781) About Me 
Question 1118785: Write a quadratic equation in standard form with the roots.
a) 3+√2 and 3-√2, passes through point (3,1)
b) -1+2√3 and -1-2√3, passes through point (-1,4)
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118785: Write a quadratic equation in standard form with the roots.
a) 3+√2 and 3-√2, passes through point (3,1)
b) -1+2√3 and -1-2√3, passes through point (-1,4)
Click here to see answer by greenestamps(13200) About Me 
Question 1118926: y=1/2x^2+x-4
Sketch the following quadratic relationship by finding the x-intercepts , the y intercept, axis of symmetry, mirror of the y intercept and the vertex
Click here to see answer by greenestamps(13200) About Me 
Question 1118953: Solve the optimization problem.
Minimize S = x + 17y with xy = 17 and both x and y > 0.
Click here to see answer by ikleyn(52781) About Me 
Question 1118966: Evaluate the following derivative. d/dt (pt^2 + jt + k)
A. pt+j
B. 2pt+j
C. 2pt
D. 2pt+k
E. 2p+j
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118966: Evaluate the following derivative. d/dt (pt^2 + jt + k)
A. pt+j
B. 2pt+j
C. 2pt
D. 2pt+k
E. 2p+j
Click here to see answer by ikleyn(52781) About Me 
Question 1118965: Find all the values of x (if any) where the tangent line to the graph of the given equation is horizontal.
y = 4x^2 + 13x + 13
A. 6.5
B. -1.63
C. 0
D. 6.5
E. 1.63
Click here to see answer by josgarithmetic(39617) About Me 
Question 1118965: Find all the values of x (if any) where the tangent line to the graph of the given equation is horizontal.
y = 4x^2 + 13x + 13
A. 6.5
B. -1.63
C. 0
D. 6.5
E. 1.63
Click here to see answer by ikleyn(52781) 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