Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 118349: Solve by using the quadractic formula.
x^2=7x+6

Click here to see answer by stanbon(75887) About Me 

Question 118354: Identify the axis of symmetry, create a suitable table of values, and sketch the graph for the following table.
y=x^2-5x+3
I have the axis of symmetry of x=5/2
I know how to graph this equation.
I need help with creating a suitable table of values. I am confused with this. Please help.

Click here to see answer by Earlsdon(6294) About Me 
Question 118354: Identify the axis of symmetry, create a suitable table of values, and sketch the graph for the following table.
y=x^2-5x+3
I have the axis of symmetry of x=5/2
I know how to graph this equation.
I need help with creating a suitable table of values. I am confused with this. Please help.

Click here to see answer by scott8148(6628) About Me 

Question 118355: Solve
80=-5t^2-20t+100

Click here to see answer by tutorcecilia(2152) About Me 

Question 118360: The sum of a number and three times another number is 18. Find the numbers if their product is a maximum. Please Help :)
Click here to see answer by scott8148(6628) About Me 

Question 118363: Determine the quadratic function which has maximum point (-1,8 ) and x-intercept 3.Express the function in transformational form.
Click here to see answer by stanbon(75887) About Me 

Question 118365: A fountain in the town square sprays water in a parabolic arc. The water spray starts at 1/2 metre above the ground and reaches a maximum height of 5 metres after 3 seconds. Determine the quadratic function that models the path followed by the water in the fountain and use it to determime the height of the water at 1&3/4 seconds . Round your answer to the nearest tenth of a metre .
Click here to see answer by stanbon(75887) About Me 
Question 118365: A fountain in the town square sprays water in a parabolic arc. The water spray starts at 1/2 metre above the ground and reaches a maximum height of 5 metres after 3 seconds. Determine the quadratic function that models the path followed by the water in the fountain and use it to determime the height of the water at 1&3/4 seconds . Round your answer to the nearest tenth of a metre .
Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 118365: A fountain in the town square sprays water in a parabolic arc. The water spray starts at 1/2 metre above the ground and reaches a maximum height of 5 metres after 3 seconds. Determine the quadratic function that models the path followed by the water in the fountain and use it to determime the height of the water at 1&3/4 seconds . Round your answer to the nearest tenth of a metre .
Click here to see answer by bucky(2189) About Me 

Question 118362: What is the maximum area of a triangle having 15cm as the sum of its base and height ? Please Help :)
Click here to see answer by scott8148(6628) About Me 

Question 118374: can you help me with this problem i am stuck in the middle of it.



5x^2 + 5x +1 =0
thank you
julie

Click here to see answer by checkley71(8403) About Me 

Question 118375: can you help me with this problem please.
x^2 + 12x + 36 = 0
thank you
julie and have a happy new year

Click here to see answer by stanbon(75887) About Me 

Question 118391: Fab Jeans presently sells ladies' jeans at an average price of $50 a pair,with sales averaging 300 pairs daily. From an analysis of the market, it is estimated that with every $1.50 decrease in the cost of a pair of jeans, daily sales will increase by 25 pairs.
What price should Fab Jeans change to maximize their daily revenue ? What is the maximum revenue ?
If it costs Fab Jeans $12 to make each pair of ladies jeans, what price should the company charge in order to make the greatest profit ?

Click here to see answer by stanbon(75887) About Me 

Question 118401: Please assist me with this question. Iam taking beginning algebra online and the book does not give a example of hoe to answer word problems.
If an object is given an initial velocity of v0 feet per second from a height of S0 feet, then its height S after t seconds is given by the formula . A rock is thrown into the air at 26 feet per second from a height of 13 feet. How long does it take to reach the earth?

Click here to see answer by stanbon(75887) About Me 

Question 118394: Solve : 3(x+2) + 4(x-1) = 7(x+2)(x-1)
Click here to see answer by jim_thompson5910(35256) About Me 

Question 118400: Please help me solve this problem. I have no idea how to arrange word problems .
The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 93 cm2, find the dimensions of the rectangle to the nearest thousandth. Place your answers in the blanks provided.
Width = __________cm, Length = _________cm.

Click here to see answer by stanbon(75887) About Me 
Question 118400: Please help me solve this problem. I have no idea how to arrange word problems .
The length of a rectangle is 3 cm more than 2 times its width. If the area of the rectangle is 93 cm2, find the dimensions of the rectangle to the nearest thousandth. Place your answers in the blanks provided.
Width = __________cm, Length = _________cm.

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

Question 118393: What is the equation of the line passing through the point (6,-3) and perpendicular to the line containing the points (2,-4) and (-5,1) ?
Click here to see answer by tutorcecilia(2152) About Me 

Question 118395: What is the exact value of cos210degrees sin^2 60degrees/cos(-135degrees)
Click here to see answer by stanbon(75887) About Me 

Question 118442: Algebraically determine the exact roots of each equation.
a) sqrt7x-2/sqrt2x = sqrt2x/sqrt7x+2
I got 7x^2-4=2x
7x^2-4-2x^2=0
5x^2-4=0
x=sqrt4/5 My teacher marked it wrong .
b)4/x+1 - x+3/x-2 = -5
I got x= -5+or- 311i/8 Also marked wrong.

Click here to see answer by stanbon(75887) About Me 

Question 118446: It takes a local train 30 minutes longer than the express to travel 216km.The local averages 6km/h less than the express.What is a possible equation which could be used to determine the speed of each train?
I said 216/x-6 - 216/x = 30 but I was marked wrong :(

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 118447: Find three consecutive integers such that the product of the first and second is 36 less than the product of the second and third.
I tried x
x+1
x+2 but did not get any further :(

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 118450: Hello, I need some help on finding the value of c that makes each trinomial a perfect square. The problem is;
[n^2+14n+c]
I have tried the formula: [(a+b)^2=a^2+2ab+b^2]
But I seem to be getting stuck trying to find the value of [b]
May someone show me how to work out the problem?
Thank you :]

Click here to see answer by jim_thompson5910(35256) About Me 

Question 117153: I have to simplify each expression. # 11 is: (2+3i)(8-5i).
And # 14 is: Physics
For a model rocket, the altitude h, in meters, as a function of time t, in seconds, is given by h=68t-8t(squared). Find the maximum height of the rocket. How long does it take to reach the maximum height?

Click here to see answer by wgunther(43) About Me 

Question 118484: SOLVE THE EQUATION ALGEBRAICALLY. CHECK SOLUTION BY GRAPHING.
#38 X^2-11=14
#42 2X^2-89=9
#43 2X^2+8=16
#44 3X^2+5=32

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

Question 118499: x(x-2) =35 ?
Click here to see answer by stanbon(75887) About Me 

Question 118493: What is S squared - S = 0 ?
Click here to see answer by scott8148(6628) About Me 

Question 118494: What is X squared - X =6?
Click here to see answer by scott8148(6628) About Me 

Question 118497: 30 + x = X squared ?
Click here to see answer by stanbon(75887) About Me 
Question 118497: 30 + x = X squared ?
Click here to see answer by leky28(1) About Me 

Question 118496: S squared = -4s ?
Click here to see answer by MathLover1(20849) About Me 

Question 118445: The arithmetic sequence x,2x-20,3x-28,... has D1=-16. What is the formula for the nth term ?
I said tn= -16+12 but was marked wrong :(

Click here to see answer by Nate(3500) About Me 

Question 118495: R squared =4 ?
Click here to see answer by stanbon(75887) About Me 

Question 118504: Solve by completing the square
x^2+8x+13=0

Click here to see answer by stanbon(75887) About Me 

Question 118503: Solve using square root property
(x+8)^2=81

Click here to see answer by stanbon(75887) About Me 

Question 118502: Solve using square root property
5x^2=100

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

Question 118511: Solve.
-200p+35000=-p^2+400p-20000. Please help

Click here to see answer by tutor_paul(519) About Me 

Question 118529: A rectangular parking lot has dimensions 16 metres by 40 metres. The total area of the parking lot is increased by 512 metres by paving an extra strip of uniform width around the entire lot. How wide is the strip ?
I tried (x+16)(x+40)=640+512 and found x=-64 and x=8 so width must be 8 metres since it cannot be negative but I only got partial marks:(

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

Question 118533: What is the value of b if 2x^2 + bx + 8 has a discriminant of -15 ?
i said 7 but my teacher marked it wrong !!! I think I should have said -7 or +7 ,can someone please expain this to me ?

Click here to see answer by tutor_paul(519) About Me 

Question 118532: For the quadratic equation x^2 + kx +7 =0, if 3+sqrt2 is a root, what is the value of k ?
I said 6 but my teacher marked it wrong. Please help me :)

Click here to see answer by tutor_paul(519) About Me 

Question 118531: A flare is fired as a stress signal and its height ,h in metres above the ground, t seconds after firing, is provided in the table below. Algebraically determine the quadratic function that defines the height of the flare above the ground t seconds after firing, and use it to determine the flare's height at 2.4 seconds.
t---0 1 2 3 4
h---2 97 182 257 322
I tried y=-2ak^2
97=-2a(1)^2
97/-2=-2a/-2
a=-48.5 and was completly lost :( Please Help Me :)

Click here to see answer by scott8148(6628) About Me 
Question 118531: A flare is fired as a stress signal and its height ,h in metres above the ground, t seconds after firing, is provided in the table below. Algebraically determine the quadratic function that defines the height of the flare above the ground t seconds after firing, and use it to determine the flare's height at 2.4 seconds.
t---0 1 2 3 4
h---2 97 182 257 322
I tried y=-2ak^2
97=-2a(1)^2
97/-2=-2a/-2
a=-48.5 and was completly lost :( Please Help Me :)

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

Question 118534: An arithmetic sequence has t4=4 and t10=5.5. What is the 88th term for the sequence? I said 25 but I only guessed correctly, I don't understand how to do it :(
Click here to see answer by scott8148(6628) About Me 

Question 118528: A rectangular lawn has dimensions 30m by 40m. A strip of uniform width is to be placed around the perimeter. How wide should the strip be so that exactly half the lawn gets mowed?
I tried (2x-30)(2x-40) and found x=5m but I was marked wrong by my teacher :(

Click here to see answer by scott8148(6628) About Me 

Question 118580:
r^2-r-6/3r-9

Click here to see answer by checkley71(8403) 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