Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 177451: How do you turn a quadratic equation into standard form (y = ax^2 + bx + c) with 3 points on a parabola? At first I know you plug in the three points into the standard form equation three separate times but i dont know how to simplify to find the solutions to a,b, and c. Please Help Me! :(
Click here to see answer by Mathtut(3670)

Question 177461: This is one question with two parts
For the following equation, state the value of the discriminant and then describe the nature of the solutions.
6x^2+4x-3=0
What is the value of the discriminant?
Which one of the statements below is correct?
a. The equation has one real solution.
b. The equation has two imaginary solutions.
c. The equation has two real solutions.
please help thank you
Click here to see answer by jim_thompson5910(28595)

Question 177456: This is one question with different parts, please help. Thank you
Find the vertex, line of symmetry, the maximum or minimum value of the quadratic function
f(x)=-2x^2+2x+3
What is the x-coordinate of the vertex?
What is the y-coordinate of the vertex?
What is the equation of the line of symmetry?
The max/min of f(x) is?
The value, f(1/2)=7/2 is a maximum or a minimum?

Click here to see answer by stanbon(57361)

Question 177462: This is one question with two parts
For the following equation, state the value of the discriminant and then describe the nature of the solutions.
6x^2+4x-3=0
What is the value of the discriminant?
Which one of the statements below is correct?
a. The equation has one real solution.
b. The equation has two imaginary solutions.
c. The equation has two real solutions.
please help thank you
Click here to see answer by stanbon(57361)

Question 177455: The sales representative here tells you they also have two floor plans available, but they only have 38 homes available. Write an equation that illustrates the situation. Use x and y to denote floor plan #1 and floor plan #2 respectively.
Click here to see answer by Mathtut(3670)

Question 177484: suppose a toy rocket was launched from the ground straight up with initial velocity of 64ft/sec. How many seconds after launch was the rocket 48 feet above the ground
Click here to see answer by solver91311(16897)

Question 177509: Solve 2x^2 + 5x - 1 = 0 by using quadratic formula. Use coefficients, a=2, b=5, c=-1. My Atttempt: Using quadratic formula w/coefficients given

-(5)+/- sqrt (5^2 - 4(2)(-1)
x= _______________________________
2(2)

-(5)+/- sqrt (25-4(2)(-1)
x=_____________________________
2(2)

-5 +/- sqrt (25+8)
x=______________________
4

-5 +/- sqrt (33)
x=__________________
4
I got stuck here!!

Click here to see answer by jim_thompson5910(28595)

Question 177528: solve 6x²+3x-18=0 using quadratic formula. 2. use the graph of y=x²+4-5 to anwer the following a) without solving the equation or factoring, determine the solution(s) to the equation,x²+4-5=0, using only the graph. expalined how you obtained your answer. 3. calculate the discriminant of x²+4x+4=0
Click here to see answer by solver91311(16897)

Question 177546: find the x and y intercepts; do not graph.
x-2y=6
and
2x+3y=27
Click here to see answer by stanbon(57361)

Question 177478: Perform the indicated operation:
a) express the answer in rectangular form:
[5(cos103 degrees + jsin 103 degrees)]
b) express the answer in polar form:
(16.le ^2.03j)(11.9e^-3.34j) I got 192angle-1.31?
c) express answer in rectangular form:
(3angle264 degrees)(4angle72 degrees) I got 10.96-4.88j ?
Click here to see answer by stanbon(57361)

Question 177474: A series ac circuit has R=3.70 ohms, Xl=5.97 ohms, and Xc=7.90 ohms. Find the impedance,and the phase angle between the current and the voltage.
Click here to see answer by Fombitz(13828)

Question 177390: The YMCA has a 40ft by 60ft area in which to build a swimming pool. The pool will have a sidewalk of uniform width around 3 sides. (The director of the YMCA does not want a sidewalk along one of the long sides of the pool) Let "x" be the width of the sidewalk.

A.) write a quadratic function in terms of "x" expressing the area of the pool
B.) The YMCA would like to construct the pool so that the area of the pool is at least half of the total area set aside for this project. Then state a reasonable interval for "x" that would satisfy this condition

Thank U!
Click here to see answer by ankor@dixie-net.com(15656)

Question 177744: A new computer can process a company’s monthly payroll in 1 hour less time than the old computer. To really save time, the manager used both computers and finished the payroll in 3 hours. How long would it take the new computer to do the payroll by itself?
Click here to see answer by solver91311(16897)

Question 177761: Linear System
Explain why the following linear system has no solution.
y-2x=1
y=2x+3
Click here to see answer by solver91311(16897)

Question 177761: Linear System
Explain why the following linear system has no solution.
y-2x=1
y=2x+3
Click here to see answer by stanbon(57361)

Question 177760: Linear System
Solve by elimination. Check each solution.
a) 2a+b=5
a-2b=10
b) 4k+3h=12
4k-h=4

Click here to see answer by solver91311(16897)

Question 177765: Linear System
What vloumes of 60% hydrochloric acid solution and 30% hydrochloric must be mixed to make 125 mL of 36% hydrocloric acid solution?
Click here to see answer by Mathtut(3670)

Question 177781: Analytic Geometry
Find the diameter and the area of the circle defined by x^2+y^2=64.
Click here to see answer by Mathtut(3670)

Question 177788: Analytic geometry
Determine the shortest distance from the point (5,2) to the line represented by y=2x+1. Use a diagram to check your answer.
Click here to see answer by Mathtut(3670)

Question 177793: Analytic Geometry
1.a) Draw the triangle with vertices P(-2,-2), Q(2,4), and R(8,0).
b) Show algebraically that PQR is a right triangle.
c) Is PQR also an isosceles triangle?
Use algebraic reasoning to justify your answer.

Click here to see answer by Fombitz(13828)

Question 177827: Quadratic Equations
The hypotenuse of a right triangle measures 20cm. The sum of the lengths of the legs is 28cm. Find the length of each leg of the triangle.
Click here to see answer by ankor@dixie-net.com(15656)

Question 177834: Quadratic Equations
Write a quadratic equation with the given roots.
a)5, and -2
b)-3 over 4, and -2 over 3
Click here to see answer by Mathtut(3670)

Question 177834: Quadratic Equations
Write a quadratic equation with the given roots.
a)5, and -2
b)-3 over 4, and -2 over 3
Click here to see answer by solver91311(16897)

Question 177832: Quadratic Equations
20) The perimeter of a rectangle is 8m and its area is 2m^2. Find the length and width of the rectangle to the nearest tenth of a metre.
Thank you
Click here to see answer by edjones(7569)

Question 177774: Analytic Geometry
On a street map, the coordinates of the two fire stations in a town are A(10, 63) and B(87, 30). A neighbour reports smoke coming from the kitchen of a house at C(41,18).
a) Which fire station is closer to this house?
b) Describe how to use geometry software to asnwer part a).
Click here to see answer by Mathtut(3670)

Question 177861: If a pro-basketball player has a vertical leap of 35 in, what is his hang time? Use the hang time function of V=48T^2.
Hang time in seconds.
Please help, thank you.
Click here to see answer by nerdybill(6962)

Question 177862: Jeff can mow his lawn in 4 hours time. His sister can mow the same lawn in 3 hours. How much time would it take them if they mowed it together?
Could you please help with this one? Thank you.
Click here to see answer by Mathtut(3670)

Question 177806: Quadratic Relations
A basketball shot is taken from a horizontal distance of 5m from the hoop. The height of the ball can be modelled by the relation h=-7.3t^2+8.25t+2.1, where h is the height, in metres, and t is the time, in seconds, since the ball was released.
a) From what height was the ball released?
b) What was the maximum height reached by the ball?
c) If the ball reached the hoop in 1 s, what was the height of the hoop?
Click here to see answer by ankor@dixie-net.com(15656)

Question 177876: Here is one that I am struggling with the directions.
Find the polynomial for the perimeter and the area. Do not factor.
there is a rectangle with the length labeled z+5 and the width is labeled z.
I think the perimeter would be 2z+2(z+5) and the area may be z(z+5). Thanks
Click here to see answer by stanbon(57361)

Question 177880: Solve. s^2+3s-54+0
I think I use the quadratic equation to solve this. I did and got the answers of -3Plus or minus the square root of -207 all divided by 2. Is this right? Thank you for your help.

Click here to see answer by stanbon(57361)

Question 177791: Analytic geometry
Determine the shortest distance from the point H(5,2) to the line through points J(-6,4) and K(-2,-4).
Click here to see answer by Fombitz(13828)

Question 177883: solve.
x^2+18x-4=0. Do I use the quadratic equation or do I factor this to solve it?
Please and thank you for your help
Click here to see answer by Alan3354(30993)

Question 177776: Use analytic geometry to classify the quadrilateral with vertices D(10,0), E(2,4), F(-8,-6), and G(6,-8). Explain your reasoning and show all your work.
Click here to see answer by Fombitz(13828)

Question 177874: Please help. Solve for x, and simplify answers. 4x(x-2)-5x(x-1)=2.
I have the problem simplified to -x^2-8x+3=0 (I think this is correct) then I think I use the quadratic equation and I got: 8+square root of 76 divided by -2 and 8-square root of 76 divided by -2.
Do I divide by two?
Click here to see answer by solver91311(16897)

Question 177884: Please help.
Factor out the GCF.
7x^7-49x^6+56x^5=0
Click here to see answer by Mathtut(3670)

Question 177853: Solve by completing the square. Show your work.[please]

29. 2x2 - 6x + 1 = 0
30. -x2 - 8x + 5 = 0

31. 9x2 - 18x - 1 = 0
32. -4x2 + 8x - 3 = 0
Click here to see answer by jim_thompson5910(28595)

Question 177853: Solve by completing the square. Show your work.[please]

29. 2x2 - 6x + 1 = 0
30. -x2 - 8x + 5 = 0

31. 9x2 - 18x - 1 = 0
32. -4x2 + 8x - 3 = 0
Click here to see answer by gonzo(654)

Question 177764: Linear System
A boat took 5 h to travel 60km up a river, against the current. The return trip took 3 h. Find the speed of the boat in still water and the speed of the current.
Click here to see answer by ankor@dixie-net.com(15656)

Question 177756: Linear System
Solve each linear system using the method of substitution.
a) y=6-3x
y=2x+1
b) 5x-y=4
3x+y=4
Click here to see answer by MathTherapy(1425)

Question 177918: Evaluate the discriminant of each equation. How many real and imaginary
solutions does each have?

37. x2 + 5x + 6 = 0
38. 3x2 - 4x + 3 = 0

39. -2x2 - 5x + 4 = 0
40. 16x2 - 8x + 1 = 0
Click here to see answer by Mathtut(3670)

Question 177932: What is the vertex of the parabola given by y=x^2+4x+3?
Click here to see answer by EMStelley(187)

Question 177941: please solve each matriz..
1. [3 4] [3]
[-1 -1]x=[2]

2. [6 2] [8 1]
[-1 4]-x [1 3]

3. x+[1 3 6] [8 1 0]
[-1 2 1]= [14 3 -1]

4. [-3 -2] [8 -1]
[1 1] x=[6 0]

5. 4x+3 [3 2] [10 8]
[1 -2]= [5 -2]

6. 2x=1/4[-6 2]
[8 -8]

Click here to see answer by Mathtut(3670)

Question 177945: A quadratic function has a vertex(-3,0) and opens down. What is the nature of the roots?
a) imaginary and equal
b) imaginary and unequal
c) real and equal
d) real and unequal
Click here to see answer by jim_thompson5910(28595)

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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