Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)


Question 232437: big bertha a canon used in could fire shots incredibley long distances. The path of a shell could be modeled by y=-0.0196x(squared) plus 1.137x where x was the horizontal distance traveled(in miles) and why was the height(in miles).How far could Big Bertha fire a shell? what was the shells maximum height?

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Question 232492: Help me figure this out...The product of two consecutive negative integers is 462. Determine the two integers. How do I set it up and how do I solve it?
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Question 232492: Help me figure this out...The product of two consecutive negative integers is 462. Determine the two integers. How do I set it up and how do I solve it?
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Question 232490: help me factor completely: 3a^3b^3-6a^2b^2-3ab
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Question 232489: help me solve 3x^2-12x=63
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Question 232506: (P+8)^2=13
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Question 232454: I need help trying to solve f(x)=x³ that little number is a 3..I have many problems like this but just need step by step to know how to complete my problems.
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Question 232547: Sue rowed her boat across lake bend and back in 3hrs. If her rate returning was 2 mph less than the rate going, and if the distance each way was 7 miles, find her rate going.
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Question 232601: I am supposed to solve the formula for the given letter.
a^2 + 1^2 =c^2
Is the answer c^2 -1^2?

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Question 232614: Solve using the Quadratic Formula.
(7/8)x^2 - (3/4)x + (5/16) = 0

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Question 232608: I am supposed to determine the nature of the solutions of the equation. Determine whther there is one real solution, two real solutions, or two non real solutions.
x^2 - 3x +8 =0
There is two real solutions?

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Question 232486: I need help trying to figure out how to factor (using the factoring by pairs technique): x^5+x^2-4x^3-4
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Question 232351: solve x using quadratic formula:
p2x2+(p2-q2)x-q2=0

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Question 232681: What algabraic equation would have the answers of
x=i and x=-i
and how did you figure it out?

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Question 232742: find the discriminant of the quadratic equation.
2x^2+4x-4=0

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Question 232780: f(x)= 7x^2+28x+28
i think i solved it this far.
f(x)=7(x^2+4x)+28
f(x)=7(x^2+4x+4-4)+ 7(-4)+28
f(x)=7(x^2+4x+4)+0
f(x)=7(x^2+4x)=
f(x)=7(x+2)^2
vertix is (-2,0)
so if i graph it x= -2 and y = 0
i have to use more points i tried
x= -1 y=7
x= -3 y= 7
x= -1.5 y= 1.75
i need to know if im rite and what other point i can use

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Question 232807: I am supposed to give exact solutions and approximate solutions to three decimal places:
x^2 + 5x - 3 = 0
Can you please help me on this one, I am lost.

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Question 232806: I am supposed to solve this:
3x^2 - 7x - 13=0
What are the solutions?

I think the answer is there are no solutions,because 7x and 13 are negative. Am I right?

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Question 232777: how to write a quadratic equation with a solution of 5.
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Question 233065: Write a quadratic equation in standard form with the following roots:
1/3,2

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Question 233098: solve.
f(x) = (x+3)^2 find x so that f(x) = 10

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Question 233100: determine whether the following equations have solutions that are two different rational solutions:two different irrational solutions:exactly one rational solution or two different imaginary solutions.
3 + 8z^2= -7z

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Question 233090: write a quadratic equation having the given numbers as solutions.
4i, -4i

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Question 233121: How would I solve the equation using the quadratic formula? The equation is x^2+10x+22=0
I end up with -10±2√14/2. Can I factor something here?

-Mike

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Question 233127: a basketball player has a vertical leap of about 36in.If the equation d=48t^2 describes his hang timet is a function of his verticalleap d,what is his hang time?
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Question 233197: 1. If a varies directly as b and a=1.2, when b=1.5, find a when b=20.
3. If y varies directly as x, and y=3.14 when x=180, find the value if y when x=360.
7. Given that y varies directly as the square of x. The graph of this relation is a
(1)straight line
(2)circle
(3)parabola
(4)hyperbola
9. The graph of all points with coordinates (x,y) such that y vaies directly as x is
(1)a hyperbola, only
(2)a parabola
(3)sometimes a straight line and sometimes a hyperbola
(4)a straight line though the origin
These are the 4 questions i need help with please show steps.

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Question 233167: please help me solve this problem

A rectangular garden is 15 ft longer than it is wide. Its area is 4500 feet squared. What are its dimensions?

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Question 233255: When graphing a quadratic equation why are there two x-intercepts and one y-intercept?
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Question 233185: find two consecutive positive even numbers such that the sum of their squares is 164.
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Question 233184: two positive numbers differ by 5 and the square of their sum is 169. find the numbers.
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Question 233322: What is the x-coordinate of the vertex for the graph of the equation y=2/3x^2-6x+4?
a) 1/18
b)1/3
c) 3
d) 9/2/2

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Question 233339: I need exact solutions to three decimal places for the following:
(x-6)^2=1

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Question 233339: I need exact solutions to three decimal places for the following:
(x-6)^2=1

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Question 233285: This is a word problem. A farmer wishes to enclose a pasture that is bordered on one side by a river (one of the four sides wont require fencing) She has decided to create a rectangular shape for the area, and will use barbed wire to create the enclosure. There are 600 feet of wire available for this project, and she will use all the wire. What is the maximum area that can be enclosed by the fence?
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Question 233404: the difference between the roots of x^2 - 7x - 9 = 0 is
a) 7 b) 7/2 c) 9 d) 2 square root 85 e) square root 85

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Question 233411: I am supposed to complete the square: x^2 + 5/2x = 5
How do I get rid of the fraction 5/2- I can't square it, can I? I don't know how to solve it.

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Question 233410: I am supposed to write a quadratic equation in the variable x having the given numbers as a solution. I am supposed to type the equation in standard form, ax^2 + bx + c = 0. The solutions are -5,1
Is the answer x^2 - 25 = 0?

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Question 233412: I cannot figure out how to put this in form of a quadratic equation.
A piece of sheet metal is 2.1 times as long as it is wide. It is to be made into a box with an open top by cutting 3-inche squares from each corner and folding up the sides.
I just do not know what to do with the volume. I get this far, but cannot go any further.
V=3(x-6)(2.1x-6). I know I have to distribute the height which is 3, but not sure to what and how many times. I have to use a graphing calculator and use the intesect feature, which I know how to do, but the step I do not know how to do is convert the volume equation to a quadratic equation. Thank You

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Question 233415: You will need to use the formula 4.9t2 + vot = s.
A ball is thrown downward at a speed of 40 meters per second (v0) from an altitude of 781 meters. Approximately how long does it take to reach the ground?
i solved it to be t=9.19seconds using the quadratic formula

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Question 233413: Determine the nature of the solutions of the equation:
Does it have 1 real solution, 2 real solutions, or 2 non real solutions?
x^2 - 8x + 16 = 0
(-8)^2 -16*x*16= 64-256
The answer 2 non real solutions? I think I went wrong somewhere.

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Question 233414: Find the x- and y-intercepts. If no x-intercepts exist, state so
f(x) = x2 - 6x + 17 (Points: 3)
a No x-intercepts, (0, 17)
b No x-intercepts, (0, -17)
c (6√104)/2 (0, -17)
d (6√104)/2, (0, 17)

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Question 233538: (((Solve. 6b^4 - 18b^3 - 60b^2 = 0)))
I solved this equation with the quadratic equation but my question is if the solution looks like this: 6b^2(b-5)(b+2)=0 is the answer b=5, b=-2 and b=0 or is it just b=5 and b=-2? Please help I am confused.

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Question 233097: determine the x-intercepts (if any) and evaluate for several values of x.use the resulting points to graph.
f(x)= -x^2 + 2x - 2

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Question 233605: express 3x²+24x+1 in the form a(x+b)²+c

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Question 233856: The height in feet of a glof ball hit from an elevated tee box is given by h(t) = -16t^2 + 60t + 25 where t represents the time in seconds the ball is in flight.
determine the time interval for which the ball is above 25 ft.

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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