Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 28651: Factor Completely
a^3-4a^2+3a-12

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Question 28715: Find the possible value or values of y in the quadratic equation 4-4y-y^2=0
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Question 28716: Find the possible value or values of r in the quadratic equation r^2-7r-8
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Question 28712: Find the value or values of p in the quadratic equation p^2+13p-30=0
Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 28882: How do you find the coordinates of the vertex?
heres a problem y=3x^2

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Question 28869: My teacher wrote this on the worksheet : Factor the following Quadratic equations using only the "A" value factors:
30x^2 + 31x + 1
How do I solve it?

Click here to see answer by longjonsilver(2297) About Me 

Question 28727: Geometricly prove that:
(x+y)^2 = x^2+2xy+y^2
(x-y)^2 = x^2-2xy+y^2
(x+y)(x-y) = x^2-y^2

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Question 28978: thanks for your help. A garden area is 30 ft long and 20 ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft^, what is the width of the path?
A=(2)LW
2x30.20=1200
1200-400=800 sq ft left

could the path be 20 ft wide? 20 times 20 times 2=800

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Question 29077: Could you help me find the x-intercepts of the equation y=-2x^2-8x+20?

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Question 29077: Could you help me find the x-intercepts of the equation y=-2x^2-8x+20?

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Question 29170: solve by completing the square?
x^2+4x-5=0

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Question 29248: The area of a circle can be shown as:
A=Pi(x^2-20x+100)
Use factoring to find the expression for the radius of a circle.
this equation factors to (x-10)(x-10)
so the expression for the radius of a circle is r=(x-10)
If the are of the circle is 16pi^2ft What is the value for x?
A=pir^2
16pi^2=pi(x-10)^2 and I am back where I started from. Thank you for the help.

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Question 29322: How do find the x and y intercept of 5x-6y= -15, and could you show me step by step?

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Question 29361: How do you expand an equation into general form such as y=2(x+3)^2-8
Click here to see answer by sdmmadam@yahoo.com(530) About Me 

Question 29375: Let * be the operation defined by a*b=2b-2a. Find 16*(8*4).
Thanks so much im really confused and i have no idea what to do.

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Question 29373: Ellen has two more nickels than dimes and three more quarters than nickels. She has $3.35 in all.
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Question 29455: if a ball is thrown directly upward with a velocity of 20 feet per second, its heigh (in feet) after t seconds is given by y= 20t - 16t^2. what is the max height attained by the ball?
Click here to see answer by Paul(988) About Me 

Question 29577: I can't figure this one out, can you help me.
Find the equation of the quadratic function with a vertex at V(1,3) passing thru the point P(2,1).Write answer in the form y=ax^2 + bx + c.
Thanx for your help!

Click here to see answer by longjonsilver(2297) About Me 

Question 29676: COMPLETE THE SQUARE. THEN WRITE THE PERFECT-SQUARE TRINOMIAL IN FACTORED FORM.
X^2 + 18X

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Question 29638: I need help solving 2x%5E2%2B2=-3xby completing the perfect square to get exact solutions. Based on the solutions I then need to describe the position of the graph of F(x)=2x%5E2%2B3x%2B2on the x-y plane.
Click here to see answer by longjonsilver(2297) About Me 

Question 29795: I am working to understand how to determine when to use the different methods of solving a quadratic eqauation. I am sure that it is so simple I just cant see.
Thank you very your assistance.
k/2-k+2/k=5 Thanks again! I really do apprecite eveyting you are doing in daycare.

Click here to see answer by venugopalramana(3286) About Me 

Question 29793: We have been asked to do the following problem, for some reason it's just not sinking in. Any help that you could provide would be greatly appreciated.
One solution of 3x^2-7x+c=0 is 1/3. Find C and the other solution.
Thanks!
Lisa

Click here to see answer by venugopalramana(3286) About Me 

Question 29794: I know the following problem is supposed to lead to an eqaudratic equation, but I can't seem to get there. Please held !
Thanks!
4/3x-1/2(x+1)

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Question 29806: This is the problem:
"A garden area is 30ft long and 20ft wide. A path of uniform width is set around the edge. If the remaining garden area is 400ft(squared), what is the width of the path?"
My biggest challenge with this word problem is how to set it up using the quadratic equation. If I could figure out the values for a, b and c, than I could finish the problem.

Click here to see answer by longjonsilver(2297) About Me 

Question 29809: (x^2-x)^2 - 14(x^2-x) + 24 = 0
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Question 29892: What are examples of quadratic equations or applications with imaginary numbers?

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Question 29903: Please would anybody help me solve this problem I would appreciate it very much
Thank you
-x^2+3x-2=0

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Question 29903: Please would anybody help me solve this problem I would appreciate it very much
Thank you
-x^2+3x-2=0

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Question 29903: Please would anybody help me solve this problem I would appreciate it very much
Thank you
-x^2+3x-2=0

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Question 29894: a. if sin=-7/8,then the value of 1/cotA in the interval 3pi/2 b.What is the exact value of sin 5pi/6
c.sketch the graph of y=cos 2x and y=-0.5 over the domain -pi<-x<-pi.determine the exact values of x where these 2 graphs intersect.
d. draw a graph that represents a sine function in the form y=A sin B {x+C}+D or a cosine function in the form y=AcosB(x+C}+D. Write an equation of the graph in both forms

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Question 29984: the graph of y=tanA intersects the graph of y = -1 at?
what is an intercept of y=3sin2x?

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Question 29986: What are exact values of sin 7pi/6, tan2pi/3, sec7pi/4, sin(-19pi/6), tan 5pi/6
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Question 30039: x-2/x+6 >= 3
Please help me solve this equation

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Question 30196: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work
Solve for y: ln(y) + ln(2) = ln(ln(e2)).

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Question 30140: I need to solve these quadratic equations by factoring... p^2+8p+7=0, x^2=24-5x
m^2=4+3m,

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Question 30208: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work.
Let p(x) = x4 - 6x3 + 11x2 - 6x. Using the fact that p(1) = 0, completely factor p (i.e., express p as a product of linear factors).

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Question 30224: Use the quadratic formula
x^2+8x+7=0
and
x^2+12m+11=0

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Question 30224: Use the quadratic formula
x^2+8x+7=0
and
x^2+12m+11=0

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Question 30224: Use the quadratic formula
x^2+8x+7=0
and
x^2+12m+11=0

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Question 30321: a traiffic lights follows the pattern green (50 seconds), yell (5 seconds), and red (25 seconds). What is the probability that a driver approaching this light will find it green or yellow?
Click here to see answer by Earlsdon(6294) About Me 

Question 30273: Can you help me solve the following:
1/2[5^x - 5^(-x)] = 3
5^(-x) is 5 raised to the power minus x

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Question 30206: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work
Suppose g(x) = x2 + 1 and h(x) = 2x - 1.
a. What is (g◦h)(2)?
b. Express f(x) = (g◦h)(x) algebraically as a single expression.

Click here to see answer by sdmmadam@yahoo.com(530) About Me 
Question 30206: when a question asks you to show something algebraically, DO NOT substitute numbers for the variables and give me an example. On the other hand, when a question asks you to show something numerically or to provide an example, you may substitute numbers for the variables. Show all work
Suppose g(x) = x2 + 1 and h(x) = 2x - 1.
a. What is (g◦h)(2)?
b. Express f(x) = (g◦h)(x) algebraically as a single expression.

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Question 30329: IF THE PRICE OF ORANGE REDUCES BY 20%A MAN CAN BUY 48 ORANGES MORE FOR RS 240.FIND THE ORIGINAL & REDUCED PRICE OF ORANGE PER DOZEN?

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Question 30328: AX+BY=P
BX-AY=Q SOLVE FORX&Y

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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