Questions on Algebra: Quadratic Equation answered by real tutors!

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Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 70567: How do you determine the domain and the range. I know that the domain is the X values and the range is the y values.
Thank you
Frances
Click here to see answer by SHORTY4848(3) About Me 
Question 73775: 4x^2+12x+?
Click here to see answer by checkley75(3666) About Me 
Question 73792: how do you solve quadratic equations by graphing?
Click here to see answer by funmath(2925) About Me 
Question 73799: please help me solve the quadratic equation
12x^2 + 36a^2 = 43ax
Click here to see answer by ankor@dixie-net.com(15661) About Me 
Question 73782: My daughter had this on a test and missed it: Can anyone please assist in these so she will know what she did wrong? I don't have the work with me here today so i can't put her wrong work on here..she is bringing her test home today so of anyone could assist in these I'd really appreciate it so she can know how to do them on her mid-term tomorrow:)
Thanks so much!!


In most businesses, increasing prices of their product can have a negative effect on the number of customers of the business. A bus company in a small town has an average number of riders of 1,000 per day. The bus company charges $2.00 for a ride. They conducted a survey of their customers and found that they will lose approximately 50 customers per day for each $.25 increase in fare.
a) Given the description above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), find the slope of the graph, find the price at which there will be no more riders, and find the maximum number of riders possible. The vertical axis is the number of riders per day, and the horizontal axis is the fare.
Graph:


Graph Type:

What is the slope of the graph?


b) The bus company has determined that even if they set the price very low, there is a maximum number of riders permitted each day. If the price is $0 (free), how many riders are permitted each day?
Answer:
Show work in this space:
c) If the bus company sets the price too high, no one will be willing to ride the bus. Beginning at what ticket price will no one be willing to ride the bus?
Answer:
Show work in this space:

Click here to see answer by ankor@dixie-net.com(15661) About Me 
Question 73794: My daughter has to do a paper on this topic and doesn't know where to begin. Any info would be appreciated:)

The loudness of sound is based on intensity level measured in decibels using a logarithmic scale and is relative to (a ratio of) the weakest sound the ear can hear.


what's the formulaused for measuring sound.
can you give a specific sound, give the decibels of the sound, and explain what this measurement means.
Thanks a bunch!!Any input would help her a great deal..she has searched the web but still nothing to put on her paper!
Click here to see answer by ankor@dixie-net.com(15661) About Me 
Question 73801: my question is this
solve the quadratic equation using the formula
1/1+x -1/3-x = 6/35
Click here to see answer by checkley75(3666) About Me 
Question 73800: please help me solve the quadratic equation
12x^2 + 36a^2 = 43ax
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Question 73689: Find values of m and n that yeild the Pythagorean triple 11, 60 and 61?
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Question 73924: Could I please have some help with this word problem? I started it, but am now lost. Thanks so much.
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.^2, what is the width of the path?
I began by using the equation (20+2x)(30+2x)=400, but I was not able to get a real number.


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Question 73384: Solve for x;
10-3x = -7x-2
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Question 73990: Solve each of the equations for x.
Section 10.1 # 22
25x^2=13
Section 10.1 # 32
2(x-5)^2=3
Section 10.1 # 42
x^2+4x+4=7 (hint: factor the left-hand side)
Click here to see answer by jim_thompson5910(28598) About Me 
Question 73989: Solve each of the following quadratic equations by completing the square.
sect:10.2 # 22
x^2-6x-3=0
Section 10.2 # 28
2x^2+10x+11=0
Sect. 10.2 # 38
Number problems. Find two consecutive positive integers such that the sum of
their squares is 85.


Click here to see answer by bucky(2189) About Me 
Question 74019: I need help on one of the questions on my final study guide.
A quadratic function g has a vertex (2,3) and passes through the point of (0,6). Write the equation of the axis of symmetry of the graph of g.
Thank you.
Click here to see answer by stanbon(57399) About Me 
Question 74142: I am trying to figure out what y=-4x^2+8x-1 in vertex form would be.
I know that I need to complete the square. I think I am supposed to add 1 and then balance it by subtracting 1? ((-2/2)^2=1)
y=(-4x^2+8x+1)-1+1.
Is that what I was supposed to do? If so, how do I write that as a perfect square to get the vertex form? Please help!
Click here to see answer by funmath(2925) About Me 
Question 74193: Can you help me solve: A rectangular pen is made with 100 m of fencing on three sides. The fourth side is a stone wall. Find the greatest possible area of such an enclosure.
Click here to see answer by checkley75(3666) About Me 
Question 74405: you have 80 yards of fencing to enclose a rectangular region. find the dimensions of the rectangle that maximize the enclosed area. what is the maximum area?
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Question 74404: solve using the quadratic formula
5x^2 + 8x = -3
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Question 74406: solve 2x - 7*(sq.rt of x) - 30 = 0
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Question 74403: solve
x^2 - 4x + 8 = 0
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Question 74455: 62/t=(69/(t+1))+2. Solve for t. Thanks in advance
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Question 74543: how do you find the vertex and the axis of symetry of:
y=-(x+11)^2+8
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Question 74580: How do you do 1/2 radical sign with 112 inside the radical sign? Its on Page 514 number 18.
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Question 74644: Find the slope of any line perpendicular to the line through points (6, 3) and (7, 7).
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Question 74644: Find the slope of any line perpendicular to the line through points (6, 3) and (7, 7).
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Question 74697: How long before I get an answer?
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Question 74839: Solve the following quadratic equations by factoring or by any other techniques of this chapter and explain why you chose that method over the other methods or each problem.
%28x-1%29%5E2=7
The answer I got was 2sqrt%287%2B1%29. I am not sure what method I used and why or how to explain it. I am needed some help with that part. Is this answer correct? Thanks
Click here to see answer by jim_thompson5910(28598) About Me 
Question 74839: Solve the following quadratic equations by factoring or by any other techniques of this chapter and explain why you chose that method over the other methods or each problem.
%28x-1%29%5E2=7
The answer I got was 2sqrt%287%2B1%29. I am not sure what method I used and why or how to explain it. I am needed some help with that part. Is this answer correct? Thanks
Click here to see answer by Earlsdon(6287) About Me 
Question 74837: (x+5)(x+7)=0 solving quadratic equtions by factoring
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Question 74837: (x+5)(x+7)=0 solving quadratic equtions by factoring
Click here to see answer by Nate(3500) About Me 
Question 74853: Solve the following quadratic equations by factoring or by any of the techniques of this chapter. Explain why you chose one method over the other for each problem.
x%5E2-9x-4=6
The answer I got for this one is
x%5E2-9%2Ax-4=6
%28x%5E2-9%2Ax-4%29%2B%28-6%29=6%2B%28-6%29
x%5E2-9%2Ax-4-6=6-6
x%5E2-9%2Ax-10=0
x=%28-%28-9%29%2B2sqrt%28-9%29%5E2-4%2A1%2A%28-10%29%29%2F%282%2A1%29,x=%28-%28-9%29-2sqrt%28-9%29%5E2-4%2A1%2A%28-10%29%29%2F%282%2A1%29
x=%28-%28-9%29%2B2sqrt%28-9%29%5E2-4%2A1%2A%28-10%29%29%2F2,x=%28-%28-9%29-2sqrt%28-9%29%5E2-4%2A1%2A%28-10%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%28-%283%5E2%29%29%5E2-4%2A%28-10%29%29%29%2F2,x=%28-%28-9%29-2sqrt%28%28-%283%5E2%29%29%5E2-4%2A%28-10%29%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%28-9%29%5E2-4%2A%28-10%29%29%29%2F2,x=%28-%28-9%29-2sqrt%28%28-9%29%5E2-4%2A%28-10%29%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%289%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%289%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%289%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%289%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%28%283%5E2%29%5E2%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%283%5E%282%2A2%29%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%283%5E%282%2A2%29%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%283%5E4%2B40%29%29%2F2,x=%28-%28-9%29-%283%5E4%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%2881%2B40%29%29%2F2,x=%28-%28-9%29-2sqrt%2881%2B40%29%29%2F2
x=%28-%28-9%29%2B2sqrt%28121%29%29%2F2,x=%28-%28-9%29-2sqrt%28121%29%29%2F2
x=%28-%28-9%29%2B2sqrt%2811%5E2%29%29%2F2,x=%28-%28-9%29-2sqrt%2811%5E2%29%29%2F2
:
x=%28-%28-9%29%2B%282%2F2%29sqrt%2811%5E%282%2F2%29%29%29%2F2,x=%28-%28-9%29-%282%2F2%29sqrt%2811%5E%282%2F2%29%29%29%2F2
x=%28-%28-9%29%2B%281%2F1%29sqrt%2811%5E%281%2F1%29%29%29%2F2,x=%28-%28-9%29-%281%2F1%29sqrt%2811%5E%281%2F1%29%29%29%2F2
x=%28-%28-9%29%2B1sqrt%2811%5E1%29%29%2F2,x=%28-%28-9%29-1sqrt%2811%5E1%29%29%2F2
x=%28-%28-9%29%2B1sqrt%2811%29%29%2F2,x=%28-%28-9%29-1sqrt%2811%29%29%2F2
x=%28-%28-9%29%2B11%29%2F2,x=%28-%28-9%29-11%29%2F2
x=%289%2B11%29%2F2,x=%289-11%29%2F2
x=20%2F2,x=%28-2%29%2F2
x=2%5E2%2A5%2F2,x=%28-2%29%2F2
x=2%5E%282-1%29%2A5%2F1,x=%28-2%29%2F2
x=2%5E1%2A5%2F1,x=%28-2%29%2F2
x=2%2A5%2F1,x=%28-2%29%2F2
x=2%2A5,x=%28-2%29%2F2
x=10,x=%28-2%29%2F2
x=10,x=-1%2F1
x=10,x=-1
Is this correct. I am not sure which method I used and why I would use this particular method over another and need some help with that.Thanks (Sorry this is so long I don't like to do this because of that, but I wanted you to see my work on this one.)
Click here to see answer by jim_thompson5910(28598) About Me 
Question 74861: Solve the following quadratic equations by factoring or by any of the techniques of this chapter.Share why you chose one method over the other for each problem.
4x%5E2-8x=3=5
The answer I got was 2sqrt%286%2B2%29%2F2,-2sqrt%286%2B2%29%2F2. Is this correct? Thanks. Is this the square root method? Thank.
Click here to see answer by jim_thompson5910(28598) About Me 
Question 74863: The pare of the Quadratic formula,b%5E2-4acthat is under the radical is called the discriminant. Complete the following sentences to show how this value indicates whether there are no solutions, one solution, or two solutions for the quadratic equation.
A) When b^2-4ac is _________________, there are no real number soulutions because......
B) When b^2-4ac is _________________, there is one solution because.....
C)When b^2-4ac is __________________, there are two solutions because.....
D)When b^2-4ac is __________________, there are two rational solutions because.....
E)When b^2-4ac is __________________, there are two irrational solutions because.....
I am really needing some help with this. I searched the internet for the answers, and now I am really confused. please help. Thanks
Click here to see answer by jim_thompson5910(28598) About Me 
Question 74829: Pamela has 50 feet of fencing tp put around a rectangular dog pen. Her house is used as one side of the pen. A 2 feet opening is left on another side for a gate. What length and width will provide a maximim area for her dog?
Click here to see answer by checkley75(3666) About Me 
Question 74838: I need to convert this into a quadratic equation. I can get the correct answer, I just can't figure out how to write a quadratic equation that works.


1. A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?
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Question 74975:
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Question 74972: Please help me with this problem. Thank you!!
2t^2+7t=4
Thank you!!!
Click here to see answer by funmath(2925) About Me 
Question 75008: Solve each equation for X.
25x%5E2+=+13
I got the answer of:13%5E%281%2F2%29%2F5, -13%5E%281%2F2%29%2F5. Is this correct? Thanks
Click here to see answer by jim_thompson5910(28598) About Me 
Question 75010: Solve each equation for x.
x%5E2%2B4x%2B4=7
(Hint:Factor the left-hand side.)
My answer was:x=2sqrt%287-2%29,x=-2sqrt%287-2%29.Is this correct. Thanks.
Click here to see answer by checkley75(3666) About Me 
Question 75018: Number Problems. Find two consecutive positive integers such that the sums of their squares is 85.
I am in need of some help with this problem. Thanks.
Click here to see answer by checkley75(3666) About Me 
Question 75039: how can i solve this quadratic equation?
4x^2=13x+12
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Question 75039: how can i solve this quadratic equation?
4x^2=13x+12
Click here to see answer by Earlsdon(6287) About Me 
Question 75015: y-5=1/3(x+2)^2 (Thank - you)
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Question 75017: Solve each of the following quadratic equations by completing the square.
2x%5E2%2Bx%2B11=0
My answer was:x=-1%2F4%2B%282sqrt%2887%29%2F4%29%2Ai,x=-1%2F4-%282sqrt%2887%29%2F4%29%2Ai. Is this correct? Thanks.
Click here to see answer by bucky(2189) About Me 
Question 75016: Solve each of the following quadratic equations by completing the square.
x%5E2-6x-3=0
My answer for this problem was x=2%2A2sqrt%283%2B3%29,x=-2%2A2sqrt%283%2B3%29. Is this correct? Thanks
Click here to see answer by bucky(2189) About Me 
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