Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 563721: Give exact and approximate solutions to three decimal places.
y^2-2y+1=81
a. The solutions are y= -8,10
b. There are no approximate solutions since the solutions are integers.
Since the solutions I got are integers, I'm confused as to whether my answer is right. If my answer is right could someone tell me how I get it to three decimal places. Thank You

Click here to see answer by solver91311(24713) About Me 

Question 563743: write a quadratic equation in the variable x having the given numbers as solutions. Type the equation in standard form,ax^2+bx+c+0
The solutions are -5 and 1
I'm lost and could use some help.
Thank You

Click here to see answer by stanbon(75887) About Me 

Question 563746: f(x)+3x^2-18x+2
I need to graph this but don't know how
Help! I'm lost

Click here to see answer by nyc_function(2741) About Me 
Question 563746: f(x)+3x^2-18x+2
I need to graph this but don't know how
Help! I'm lost

Click here to see answer by lwsshak3(11628) About Me 

Question 563723: a^2+k^2=j^2
Solve for a
When I do this problem I get two solutions. The answer only gives a choice of one. Could someone please help me. I'm confused. Thank You

Click here to see answer by Tatiana_Stebko(1539) About Me 

Question 563771: Solve the equation for the variable x. The constrants a and b represent positive real numbers:
x%5E4+%2B+5ax%5E2+%2B+4a%5E2+=+0

Click here to see answer by lwsshak3(11628) About Me 

Question 563800: (Solve)Air Travel: A turbo-jet flies 50mph faster than a super-prop plane. If a turbo-jet goes 2000mi in 3hr less time than it takes the super-prop to go 2800mi, find the speed of each plane.
Click here to see answer by mananth(16946) About Me 

Question 563740: f(x)=25x^2+10x+1
type an ordered pair
I got 1 for y
I got -1/5 for x
The answer isn't an ordered pair though.
Could someone please help me out.
Thank You

Click here to see answer by KMST(5328) About Me 
Question 563740: f(x)=25x^2+10x+1
type an ordered pair
I got 1 for y
I got -1/5 for x
The answer isn't an ordered pair though.
Could someone please help me out.
Thank You

Click here to see answer by Earlsdon(6294) About Me 

Question 563842: Change the equation to quadratic form and solve it by the most efficient method.

45/b - 16 = - 16/b+1

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Question 563890: Average mass of a group of people is 45.2kg. A newcomer to the group weighs 51kg, which increases the average by 0.2kg How many people are now in the group?
This is a question which needs a quadratic equation to be set up in the form ax˛+bx+c=0 so that it can be solved using the quadratic formula. I just can't figure out how to set it up. Please help me! :-)

Click here to see answer by mananth(16946) About Me 

Question 563930: I have a bit of a problem with this word problem:
A ball is hit by a bat when 3 ft off the ground. It is caught at the same height 300 feet from the batter. How far from the batter did it reach its maximum height?


I was thinking 150 feet from batter, but that seems too simple. Any help?

Click here to see answer by scott8148(6628) About Me 

Question 564056: ok so here is the fourth question.
45>m>35
and there should be a straight line under the second arrow pointing to the 35
thank you

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Question 564060: I guess there were five questions i needed help with...
a small dinner roll has 10 fewer calories than twice the number of calories in a slice of white bread. Together they contain at least 185 calories. Find the smallest possible number of calories in the slice of white bread.
thats it thanks in advance again have a great day)

Click here to see answer by stanbon(75887) About Me 

Question 564062: ok here goes the fourth question...
45>m>35
there is also a straight line under the second arrow that points to the 35
I tried to send this before but it didnt show up so i hope it didnt go through twice. sorry if it did
thanks again

Click here to see answer by richard1234(7193) About Me 

Question 564109: if (p+3) and (q-4) are the roots of the equation x^2=8x-15. What is the values of p and q?

Click here to see answer by KMST(5328) About Me 

Question 564052: I am not sure what topic this question would fall under since i didn't find word problems under the algebra stuff. sorry. anyways i have been working on 4 questions for the last 2 months and i just cannot figure it out so maybe you can help.
a company has four large buses and five small ones. Each large bus has 12 seats more than a small bus. The total seating capacity of all buses is 336. how many seats are on a large bus?
Thanks in advance)

Click here to see answer by KMST(5328) About Me 

Question 564173: Hi, I am having a problem forming the equation from a worded problem. I am struggling to understand what the terms mean in this equation and how they worked them out. I understand how to solve and can write quadratic motion equations. I have a good understanding.
The problem is: A school concert usually attracts 600 people at a cost of $10 per person. On avaerage for every $1 rise in admission price, 50 less people attend the concert. If T is the total amount of takings and n is the number of $1 increases write a rule for the function which gives T in terms of n.
The answer is: T = 6000 + 100n -50n^2
My thinking is that the 6000 represents the miinmum of the independant variable 600 people at $10 each which totals $6000. So this is where the parabola will start from the y-axis (i.e at zero). But how did they get the 100n? What does this mean in the context of the problem and why n^2?
Why isn't it linear? Like T = 6000 - 50(n)
Your help would be appreciated.

Click here to see answer by ankor@dixie-net.com(22740) About Me 
Question 564173: Hi, I am having a problem forming the equation from a worded problem. I am struggling to understand what the terms mean in this equation and how they worked them out. I understand how to solve and can write quadratic motion equations. I have a good understanding.
The problem is: A school concert usually attracts 600 people at a cost of $10 per person. On avaerage for every $1 rise in admission price, 50 less people attend the concert. If T is the total amount of takings and n is the number of $1 increases write a rule for the function which gives T in terms of n.
The answer is: T = 6000 + 100n -50n^2
My thinking is that the 6000 represents the miinmum of the independant variable 600 people at $10 each which totals $6000. So this is where the parabola will start from the y-axis (i.e at zero). But how did they get the 100n? What does this mean in the context of the problem and why n^2?
Why isn't it linear? Like T = 6000 - 50(n)
Your help would be appreciated.

Click here to see answer by bucky(2189) About Me 

Question 564338:
the length of a retangle is twice the width.the area is 200yd^2??? Can someone help me please!!!!!find the lenght and width

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Question 564341: give exact and approiximate to 3 decimals places:x^2+8x+16=25
Click here to see answer by ad_alta(240) About Me 

Question 564417:
Click here to see answer by Alan3354(69443) About Me 

Question 564420: f(x)=x^2-10x-5
The solutions are 5,-30
I need to graph this but don't know how.
Could someone please draw me a picture of how it will look on a graph?

Click here to see answer by stanbon(75887) About Me 

Question 564379: find the rule of the mapping:
0-1
1-1
2-4
3-27
4-256
5-3125

Click here to see answer by richard1234(7193) About Me 

Question 564945: I need help on this one please
f(x)= 1/4(x+9)^2+1
I need to find out what the vertex is____
I need to find out what the line of symmentry is _____
I need to find out what is the max/min value of fx is _________

Click here to see answer by Alan3354(69443) About Me 
Question 564945: I need help on this one please
f(x)= 1/4(x+9)^2+1
I need to find out what the vertex is____
I need to find out what the line of symmentry is _____
I need to find out what is the max/min value of fx is _________

Click here to see answer by htmentor(1343) About Me 

Question 565344: Hi. I'm looking for the quadratic equation that describes the following three sets of coordinates: (5,19) (75,75) (150, 101). Please help. I have no idea where to begin. Thanks!!!
Click here to see answer by lwsshak3(11628) About Me 

Question 565617: I have to come up with an quadratic equation with the solutions of:
x=-3
x=0
x=5
I am confused because I was no aware of a solution being a negative number, or quadratic equation having 3 soultions. I am speechless on how to come up with an quadratic equation. Could you please help me?

Click here to see answer by stanbon(75887) About Me 

Question 565615: I have a quadratic equation that I need to solve for. The solution is: I have to come up with an equation.
x = 3
x = 6
So would you reverse and use (x-3) (x-6)?

Click here to see answer by stanbon(75887) About Me 

Question 565650: why is it necessary to know different methods of solving quadratic equations?
Click here to see answer by Alan3354(69443) About Me 

Question 565692: How do I solve this?
y = 2x - 4
y = -2x + 4

Daren Smith

Click here to see answer by Leaf W.(135) About Me 

Question 565690: Solve,
x + y = 6
y = 2x - 3
I'm completely lost
Daren

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 565570: What is the lenghts of the legs?
The hypotenuse of a right triangle is 4 cm long. One leg is 1 cm longer than the other. Find the lengths of the legs. Round to the nearest tenth.
Thank You =)

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Question 565869: 4x2-3=9
Click here to see answer by ad_alta(240) About Me 

Question 565872: 3(x-5)2=21
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Question 565891: A 24-inch-wide sheet of metal is to be bent into a rectangular trough with the cross section shown in the illustration. Find the dimensions that will maximize the amount of water the trough can hold. That is, find the dimensions that will maximize the cross-sectional area.(depth and width = 24 inches)
Click here to see answer by solver91311(24713) About Me 

Question 566000: The directions are: Solve over the complex numbers
The problems are b-3 sqrt of b -10=0 (b minus 3 times the square root of b minus 10 equal 0.
and 2x-9 sqrt x + 4=0 (2x minus 9 times the square root of x plus 4)
The title of the paper is the Discriminant: equations in quadratic form. Since there is no squared number in these I don't know how to begin doing them.
Thank you!

Click here to see answer by stanbon(75887) About Me 

Question 566320: Find two consecutive negative integers such that the sum of their squares is 113.
Click here to see answer by ad_alta(240) About Me 

Question 566456: factor and solve the following quadratic equation.
4x^2+10x=x^2-x+4

Click here to see answer by mananth(16946) About Me 

Question 566846: 4/7,7 WHATS THE QUADRATIC EQUATION?
Click here to see answer by solver91311(24713) About Me 

Question 567184: -4x+5y=20 in y-intercept form and graph
Click here to see answer by mananth(16946) About Me 

Question 567353: A flag is raised while an onlooker watches from a distance of 21 feet away from the base of the flag pole (see the figure below). The flag rises vertically at a rate of 8 inches per second. Let t denote the time (in seconds) after the flag begins to rise (For simplicity, assume that when the flag begins to rise it is 0 inches above the ground). Express the distance d (in feet) between the flag and the onlooker as a function of t.
All of the answers I come up with are incorrect! Any help is greatly appreciated!!! Thanks!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 567351: A box with an open top is constructed from a rectangular piece of cardboard which is initially 30 inches long and 23 inches wide. The box will be formed by removing squares of length x inches from each corner and then folding up the sides (as shown below). Express the volume (V) of the box as a function of x.
I've been trying to figure out this problem for a while, any help is greatly appreciated!!! Thanks!

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 567571: Tell whether y=-3x^2+18x-20 has a minimum value or a maximum value?Then find the minimum or maximum value.
Click here to see answer by lwsshak3(11628) About Me 

Question 567780: The quadratic equations are difficult. I need help with this equation.
Write a quadratic equation having the given numbers as solutions - sqrt5 and 8sqrt5.

Click here to see answer by Alan3354(69443) 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, 20251..20295, 20296..20340, 20341..20385, 20386..20430, 20431..20475, 20476..20520, 20521..20565, 20566..20610, 20611..20655, 20656..20700, 20701..20745, 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