Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 704126: I'm getting stuck at the end of this one...any help would be greatly appreciated!a pen with one side against a wall WITH 6M of fencing. X is the width and the length is (6-2x). The area is a=x(6-2x).
A). What dimensions of the pen will produce the maximum area?
B) what is the maximum area?
I have done the following
A=(6x-2x)
Max area occurs at axis of symmetry
X=-6/-4
3/2 is the max area
L=6-2(3/2)
Length=5.5?
I have a hard time working with fractions...any help would be greatly appreciated!
Click here to see answer by ankor@dixie-net.com(22740)

Question 704344: Determine the equation of a parabola with vertex (3,9)and an intercept at the origin. Can you show me how you come to the answer?
Thank you so much for the help!
Click here to see answer by josgarithmetic(39613)

Question 704343: Can someone please help me understand this question? I would like to know the process of how you come to the answers as I have a test tomorrow!
y=-2(x-3)^2+8
a)State the coordinates of the vertex
b)State whether is has a max or min value and what that is?
c)State the equation of the axis of symmetry
d)State the y-intercept.
If you could show me how you reach each answer..that would be amazing!
Thank you
Click here to see answer by josgarithmetic(39613)

Question 704345: 5x^2-100=0
Click here to see answer by Simnepi(216)

Question 704340: Can someone please help me understand this question? I would like to know the process of how you come to the answers as I have a test tomorrow!
y=-2(x-3)^2+8
a)State the coordinates of the vertex
b)State whether is has a max or min value and what that is?
c)State the equation of the axis of symmetry
d)State the y-intercept.
If you could show me how you reach each answer..that would be amazing!
Thank you
Click here to see answer by nerdybill(7384)

Question 704374: For a project I had to show an application of quadratics using the H(t)= gt^(2) +vt+h equation and projectile motion. I built a trebuchet and launched a softball. It traveled a distance of 83 1/6 feet in 3.1 seconds. Its intial height was 7/12 feet. I have added my data and my equation is h(t)= -16t^(2) + 2495/93t +7/12. I'm confused on how to simplify from here. Could you please explain it to me? Thank you
Click here to see answer by ankor@dixie-net.com(22740)

Question 704404: solve this quadratic equation but don't use the quadratic formula
4x^2+12x+5=0
Click here to see answer by Stitch(470)

Question 704495: The unemployment rate is 8.6 % convert rate to a demical then to a reduce fraction, there are 390,000 people look for work but with this rate how many would be unemployed.
Click here to see answer by jim_thompson5910(35256)

Question 704498: five times the quare of a number is 980. What is the number?
i used x^2 + 5x -980
a=1 b=5 c=-980
Click here to see answer by jim_thompson5910(35256)

Question 704617: Can you please help me factor this equation?
16x^2-86x+30
I removed 2 so I have 2(8x^2-43x+15)
I don't know where to go from here...thank you!
Click here to see answer by jim_thompson5910(35256)

Question 704620: Can you please help me factor this?
12x^2-36x+27
I factored out the 3 and have 3(4x^2-12x+9)
Please help me from here:)
Click here to see answer by jim_thompson5910(35256)

Question 704649: Can you please help me identify the x intercepts of this equation
y=2(x+4)^2+3
I really appreciate any help...I think I have to find the factors, but I don't know where to start when it's in this form. Thank you so much!
Click here to see answer by mananth(16946)

Question 704747: determinethe set of values of p for which has complex roots.
Click here to see answer by josgarithmetic(39613)

Question 704769: i need to factorise the following 2 expressions where possible
16p�x+4py-8p�z
and
x�(5-6y)+3x�(7x-y)

Click here to see answer by josgarithmetic(39613)

Question 704748: determine the set of values of p for which has real and distinct roots.
Click here to see answer by mouk(232)

Question 704817: I just bought a GPS the cost was $379.99 the sales price was $76.99 what percent is the markup.
Click here to see answer by stanbon(75887)

Question 704826: I just brought a gps at the sale price of $76.99 the original cost was $379.99. What is the mark down percentage?
Click here to see answer by Stitch(470)

Question 704846: (x-3)(x+1)(2x-9)=0
How do I solve this? I am stuck
Click here to see answer by Simnepi(216)

Question 704910: A quadratic equation has two roots: 3/4 and -5. Find a quadratic equation where the coefficient of the x^2 term is 1 and find a second equation that has only integers as coefficients.
Click here to see answer by lwsshak3(11628)

Question 704741: The quadratic equation has roots and / Find
a. The value of ,
b. the values of given that
Click here to see answer by ankor@dixie-net.com(22740)

Question 705199: 1. If is one of the roots of the quadratic equation , find the value of .
2. If is one of the roots of the quadratic equation , find the value of
Click here to see answer by josgarithmetic(39613)

Question 705145: Find all solutions, real and complex, of the equation. (Enter your answers as a comma-separated list. If there is no solution, enter NO SOLUTION.)
x4 − 9x2 + 20 = 0
Click here to see answer by josgarithmetic(39613)

Question 705658: . Roots = m,n. m=n, find p
Click here to see answer by josgarithmetic(39613)

Question 705675: Solve using substitution: 2x^2+16=11x
Solve using elimination: -x^2+12x=52
Solve using completing the square: 7=(x-3)^2-1
I don't know those three methods, I know how to solve the quadratic formula though.
Click here to see answer by josgarithmetic(39613)

Question 705625: two numbers have a sum of 10. the sum of the first number plus three times the second number is 24. find the numbers
Click here to see answer by geetha_rama(94)

Question 705660: . * Roots = 3,m * k is constant * Find m and k.
Click here to see answer by akashalhat(1)

Question 705705: If the roots of 2x^2 +3x-1=0 are alpha and beta. Find the values of alpha square + beta square
Click here to see answer by KMST(5328)

Question 705730: 18y^3-28y-25.2
Click here to see answer by lynnlo(4176)

Question 705760: Someone PLEASE help me!I'm am all sorts of confused on these. Can anyone help me out and show me how do get to these?
1. Given the following quadratic equation, find
a. the vertex
b. the axis of symmetry
c. the intercepts
d. the domain
e. the range
f. the interval where the function is increasing, and
g. the interval where the function is decreasing
h. Graph the function.
y=-x^2+2x+8
2.��Given the following rational function, find�
a. the horizontal asymptote(s),��
b. the vertical asymptote(s), if any, and
c. the oblique asymptote(s), if any.
f(x)=6/(x-5)
Click here to see answer by stanbon(75887)

Question 705795: A farmer plans to enclose a rectangular region, using part of his barn for one side and fencing for the other three sides. If the side parallel to the barn is to be twice the length of an adjacent side, and the area of the region is to be 162 ft2, how many feet of fencing should be purchased?
Click here to see answer by jsmallt9(3758)

Question 705562: f(x)=-x^2+2x+7 Determine if this has a maximum or a minimum value. Then find the max/min value.
Click here to see answer by jsmallt9(3758)

Question 705265: 5x^2-5x=150 found solution using quadratic equation to be 6 and -5.
6^2=36 5*36=180
5*6=30
180-30=150
Use solution in original equation, 6 works, but for the life of me I cannot figure out what I am doing wrong with the -5 solution.
-5^2=-25 -25*5=-125
Thanks
5*-5=-25
-125 --25=100
Click here to see answer by jsmallt9(3758)

Question 706220: A purse sold for $698 is now on sale and markdown 25% during the sale the purse is scratch and is reduced additional 20% off the selling price. What is the total discount amount?
Click here to see answer by josmiceli(19441)

Question 706353: A piece of sheet metal, w = 16 inches wide, is bent to form the gutter shown in the illustration. If the cross-sectional area is 24 square inches, find the depth of the gutter.
Click here to see answer by josgarithmetic(39613)

Question 706395: large plywood box has a volume of 768 ft3. Its length is 16 ft greater than its height, and its width is 4 ft less than its height. What are the dimensions of the box
Click here to see answer by ankor@dixie-net.com(22740)

Question 706444: In a certain electrical circuit,an engineer found out that the power P can be expressed by the function P=2x^2-60x+480 where x is the current.Can the power of the circuit ever be zero?
Click here to see answer by ankor@dixie-net.com(22740)

Question 706493: The store is selling a pearl necklace at $2500 with a markup of 65% jill has a coupon for 35 % off the original selling price. What is the total of the purchase price?
Click here to see answer by rfer(16322)

Question 706505: the jeweler is selling a ring for $4500 with a 100% markup what is the total price of the ring
Click here to see answer by checkley79(3341)

Question 706591: if you were given a quadratic relation in the form of: y=a(x-r)(x-s), what can you tell me about the graph relationship:
a) direction of opening
b) location of vertex
c) pattern for y as x increases or decreases by 1 from the vertex
d) X intercepts
e) Y intercepts
Click here to see answer by josgarithmetic(39613)

Question 706800: Can you please help me solve this equation by completing the square.
-9x^+18x=16
Thank you!!
Click here to see answer by MathLover1(20849)

Question 706871: A quadratic equation has -10 and 5 as solutions. Find the values of b and c if the value of a is 1.
Thank in in advance for you help!!
Click here to see answer by josgarithmetic(39613)

Question 706862: I could really use some help on how to solve the following equation for t:

Click here to see answer by josgarithmetic(39613)

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, 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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