Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 254298: Find vertex and y-intercept of the equation y=0.5x^2+6x+10
Click here to see answer by drk(1908)

Question 254338: The volume, V, of a tank varies directly with its height, h. A tank 12 feet high holds 300 cubic feet. Write an equation relating v and h.
Click here to see answer by drk(1908)

Question 254211: The vertical height, h, in metres of a golf ball as it travels a horizontal distance, d metres, down the fairway, can be described using a quadratic function. A pro-golfer can drive the ball 300m down the fairway before it lands. If the ball's maximum height was 15m:
- draw a sketch of the path of the golf ball
- find the equation of the path of the golf ball
- determine the two distances down the fairway when the ball is 10m above the ground. Give your answer to the nearest tenth of a metre.
Click here to see answer by solver91311(16897)

Question 254430: If x^2 + y^2 = 58 and xy = 21 , find the largest possible value of x + 1/y
Click here to see answer by richwmiller(9143)

Question 254455: Quadratic equations may be solved by graphing, using the quadratic formula, completing the square, and factoring. What are the pros and cons of each of these methods? When might each method be most appropriate?
Click here to see answer by richwmiller(9143)

Question 254335: The area of a rectagle is 357cm2. The width of the rectangle is 4cm less than the length. What are the dimensions of the rectangle
Click here to see answer by checkley77(12569)

Question 254468: Solve 4x – 7 > x – 2.
Click here to see answer by unlockmath(1603)

Question 254535: I'm trying to figure out how to solve this problem. Thank you for all your help.
Graph the quadratic function f(x)= 4(x+5)^2-1
Click here to see answer by JimboP1977(308)

Question 254607: find two consecutive integers whose product is 42
Click here to see answer by richwmiller(9143)

Question 254642: x^2=x+6

please help.
Click here to see answer by JimboP1977(308)

Question 254642: x^2=x+6

please help.
Click here to see answer by drk(1908)

Question 254645: x^2=x+6

please help.
Click here to see answer by richwmiller(9143)

Question 254683: How many solutions can an equation whose form is (x-1)(x –2)(x – 3) = 0 have?
Click here to see answer by solver91311(16897)

Question 254683: How many solutions can an equation whose form is (x-1)(x –2)(x – 3) = 0 have?
Click here to see answer by palanisamy(496)

Question 254702: For y=x^2, find the average rate of change as
a) x changes from 1 to 3
b) x changes from 2 to 5
Click here to see answer by drk(1908)

Question 254716: The area of a rectangle is 63 ft squared. the length is 2 ft longer than the width. what are the dimentions of the rectangle.
Click here to see answer by drk(1908)

Question 254765: can you please help me write a quadratic equation with the roots 0,3 (in standad form)

Click here to see answer by stanbon(57412)

Question 254833: A rectangular field is 300 ft by 500 ft. A roadway of width x ft is to be built just inside the field. What is the widest the roadway can be and still leave 100,000 ft2 in the region?
Click here to see answer by richwmiller(9143)

Question 254837: The sales price of a car is $12,590, which is 20% off the original price. What is the original price?
A. $14,310.40
B. $14,990.90
C. $15,290.70
D. $15,737.50
E. $16,935.80
Click here to see answer by vksarvepalli(154)

Question 255048: simplify completely.
x - 2/8x^2 - 32
Click here to see answer by palanisamy(496)

Question 255026: Please solve x^3=1
Click here to see answer by Alan3354(30993)

Question 255064: The sides of an equilateral triangle are shortened by 12 units,13 units and 14 units respectively and a right angled triangle is formed.Find the side of the equilateral triangle.
Click here to see answer by Theo(3472)

Question 255127: A parabola forms the top of a fencing panel. This parabola can be modeled by the graph of the function y=0.03125x^2-0.25x+4 where x and y are measured in feet and y represents the number of feet the parabola is above the ground. How far above the ground is the lowest point of the parabola formed by the fence?
Do I start of the problem by using the formula
x= -b/2a ?
If so would it be
--0.25/2(0.03125) ?

Thank you very much for reading and reviewing my question. It is okay if you cannot answer it, I understand.
Thank you again so much really appreciate it.
Click here to see answer by stanbon(57412)

Question 255162: f(x)=x^2-7 I'm supposed tell weather the function has a minimum or a maximum value, and we're supposed to find the minumum and maxmum value as well. I donot know how should i procced with the problem. Do I solve the problem with the formula
x=-b/2a yes or no?
Thank You very much for taking time out of your day to help me with my Algebra 1 homework, I really apperciate it. Have a nice day, and thank you again.
Click here to see answer by dabanfield(803)

Question 255201: what are the solutions of the quadratic equation 3xsquared+5x=-4
Click here to see answer by dabanfield(803)

Question 255179: What is the center and the radius of the equation of the circle below?
x^2+y^2+10y-56=0
Click here to see answer by CharlesG2(828)

Question 255215: The equation cos(x) = 0.3x has three solutions. Find their values correct to two decimal places
Click here to see answer by Edwin McCravy(8918)

Question 255297: solve
25x^4-20x^2+3=0
Click here to see answer by richwmiller(9143)

Question 255297: solve
25x^4-20x^2+3=0
Click here to see answer by checkley77(12569)

Question 255297: solve
25x^4-20x^2+3=0
Click here to see answer by CharlesG2(828)

Question 255334: I can substitue everything into the equation but I'm not getting the right answer. What am I doing wrong?
Click here to see answer by rfer(12677)

Question 255368: How can I solve for the real number solution of x^2-100=0?

Click here to see answer by richwmiller(9143)

Question 255366: (x*-3x)+8=0
cant figure out how to do the last part of question after I get here
x= 3 + - square root -23 over 2
Click here to see answer by richwmiller(9143)

Question 255366: (x*-3x)+8=0
cant figure out how to do the last part of question after I get here
x= 3 + - square root -23 over 2
Click here to see answer by drk(1908)

Question 255371: The square of a number plus the number is 132. What is the number?
Click here to see answer by jim_thompson5910(28598)

Question 255512: Find a quadratic model for the set of values
(-2,8),(0,-4),(4,68)
Click here to see answer by richwmiller(9143)

Question 255522: Identify the vertex and the y-intercept of the graph of the function y = -3(x + 2)^2 + 5
Click here to see answer by stanbon(57412)

Question 255645: i need a solver for when the equation is not = 0.
Click here to see answer by stanbon(57412)

Question 255628: solve and check the quadratic equation below by taking the square root of both sides. express irrational answers in radical form.
(x-10)^2=4
check
Click here to see answer by stanbon(57412)

Question 255656: what is x^2 -4 = x
we're doing 'solving equations graphically?
Click here to see answer by Edwin McCravy(8918)

Question 255666: determine whether the given numbers are solution of inequality, x-2≥ 8; -5,0,5,20
Click here to see answer by EMStelley(187)

Question 255739: f(x)= x^2 + 8x-3
Click here to see answer by checkley77(12569)

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