Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 187810: 3. Use the two roots given by the quadratic equation
a. find a formula for the sum of the roots
b. find a formula for the product of the roots
c. without solving tell the sum and product of the solutions of 2x^2+5x-3=0
I don't even understand the question at all....I feel like it doesn't make sense

Click here to see answer by jim_thompson5910(35256) About Me 

Question 187834: Okay, and here I'm confused again ...
Three out of four American adults under age 35 have eaten pizza for breakfast. If a random sample of 20 adults under age 35 is selected, find the probability that exactly 16 have eaten pizza for breakfast.
p=25
q=
n=20
x=16
I'm not sure what goes where. Help.
Thanks, P

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

Question 187871: Please Help!! I got how many cells after 5 hours but I am lost on the 6,000,000,000 A cell divides into two identical copies every 4 minutes. How many cells will exist after 5 hours? Then how long (approximately) it would take to have 6,000,000,000 cells.


Click here to see answer by user_dude2008(1862) About Me 

Question 187927: I am suppose to find the center (h,k) and the radius of the circle given by the equation: x^2-6x+y^2+10y=-30 by completing the square.
Click here to see answer by Earlsdon(6294) About Me 

Question 188100: I need to solve this problem withour using the quadratic equation.
Solve 3x ( x+3) = 2 (5x+1)

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

Question 188098: I was told to solve this withot using the quadratic equation. I have no idea how to do this.
Solve 2x ( x + 3 ) = x + 25

Click here to see answer by Mathtut(3670) About Me 

Question 188091: which of the following relations is a function?
{(3,4),(-3,1),(4,4),(0,7)}
{(0,4),(-3,1),(2,-4),(0,7)}
{(4,4),(-3,1),(4,-4),(0,7)}
{(2,4),(3,1),(3,-4),(-3,7)}

Click here to see answer by Mathtut(3670) About Me 

Question 188095: in direct variation 2y=3x, what is the K value?
a)3/2
b)3
c)2/3
d)2
what is the slope of the direct variation y=3/5x
a)3
b)5
c)3/5
d)5/3

Click here to see answer by Mathtut(3670) About Me 

Question 188094: find the next term in following sequence 1/8,1/4,3/8,1/2,.....
a)7/8
b)5/8
c)3/4
d)5/16

Click here to see answer by Mathtut(3670) About Me 

Question 188090: which of the following relations is a function?
{(-9,5),(7,1),(0,-8),(1,7)}
{(-9,5),(0,1),(4,-8),(4,7)}
{(-9,5),(0,1),(6,-8),(0,7)}
{(-9,5),(7,1),(0,-8),(7,3)}

Click here to see answer by Mathtut(3670) About Me 

Question 188099: I have to solve this without using the quadratic equation and really just dont know how to.
Solve ( x^2 – 2x )( x + 3) = -2x ( x + 1)

Click here to see answer by jim_thompson5910(35256) About Me 

Question 188146: 5x2 + 8x + 2 = 0


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Question 188246: x^2+2x+1=0
Click here to see answer by uday1435(57) About Me 

Question 188251: would you please help me how to solve this problem
y=-6^2+3x
and
y=-3x-6x-1
thank you

Click here to see answer by jojo14344(1513) About Me 

Question 188254: I know this is a dumb question but if I could please get an answer! Can a linear equation be graph such as 2x + 6 = 10?
Click here to see answer by Alan3354(69443) About Me 

Question 188260: Solve by Factorization
1. x2 - 13x + 30 = 0
2. 2x2 - 3x = 2
3. 3x2 - 7x - 6 = 0
4. 5x2 - 40 x = 0
5. 36x2 - 81 = 0
6. 4x2 - 16 = 0
7. 3x2 = 4x + 7
8. x2 + 2x = 0
9. 5x2 - 40 x = 0
10. x2 + x = 0
Solve By Quadratic Formula
1. 2x2 - 6x + 3 = 0
2. 7x2 + 4x = 1
3. 2x2 + 6x + 3 = 0
4. x2 - 5x + 6 = 0
5. 3x2 = 4x + 5

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

Question 188319: can you please help me solve.
simplify the expression
+5x%5E2%2B4x-6%283x%5E2-2%29+

Click here to see answer by jim_thompson5910(35256) About Me 

Question 188317: can you please help me !
Simplify the expression +x%5E2-4x%2B4%28x%5E2%2B2x-5%29+

Click here to see answer by jim_thompson5910(35256) About Me 

Question 188290: x^2+3x-40=0
Click here to see answer by jim_thompson5910(35256) About Me 

Question 188384: How would you graph this polynomial 3x² + 4x – 5? Or how do you graph any polynomial. Please Help!!!!!
Click here to see answer by jojo14344(1513) About Me 

Question 188403: find the solution of x^2-21=4x. if the solution is a fraction, enter it in simplest form
x= or x=

Click here to see answer by josmiceli(19441) About Me 

Question 188406: For the exponential function e^x and logarithmic function log x, graphically show the effect if x is halved. I am really confused.
Click here to see answer by solver91311(24713) About Me 

Question 188398:
Click here to see answer by Mathtut(3670) About Me 

Question 188428: tickets= 0.2x^2+12x+11
A. Does this graph gp up or down? How did you determine this?
B. Describe what happens to ticket sales as time passes?
C. Use the quadrtic equation to determine the last day that tickets will be sold. (write your answer in terms of the number of days after ticket sales begin)
D. will tickets peak or be at a low during the middle of the sales? How do you know?
E. After how many days will the peak or low occur.
F. How many tickets will be sold on the day when the peak or low occurs?
G. What is the point of the vertex? How does this number relate to your answers in parts e anf f?
H. How many solutions are there in -0.2x^2+12x+11=0? How ndo you know?
I. What do the solutions represent? Is there a sloution that does not make sense? If so, in what ways does the solution not make sense?

Please help me solve these questions. I am not understanding this!!!''
Thank you for your help....

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

Question 188393: -3-4(t-5)=2(t+3)+11=
Click here to see answer by checkley77(12844) About Me 

Question 188496: Evaluate the functions for the values of x given as 1, 2, 4, 8, and 16. Describe the differences in the rate at which each function changes with increasing values of x. So my question is for the equation f(x) = log x means that logx we assue that is log10^x. Thanks in advance!
Click here to see answer by solver91311(24713) About Me 

Question 188501: Sam shot his model rocket up into the air and counted the seconds it stayed in flight. He noticed the rocket seemed to be at the same height as the top of a television antenna at 3 and 6 seconds.(gravity of earth is 32ft/s)
a)find initial speed of rocket
b)height of television antenna.

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

Question 188533: 3.6+m=2.5
Click here to see answer by Mathtut(3670) About Me 

Question 188519: can you help me solve this :

how do you graphically solve the quadratic equation +x%5E2%2B3x-10=5+

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

Question 188574: find the solution of x^2+4x+4=0. if the solution is a fraction enter it in simplest form.
x=
or
x=

Click here to see answer by jojo14344(1513) About Me 

Question 188615: I am trying to teach my students quadriatic equations but I need to understand them myself. We use the Plato program but I keep coming up with the wrong answer. Can you give me the steps.... in laymans terms. I am NOT a math brained person. Two of the problems that have given us trouble are:
1.) 24 + 11y + y2 = 0
and
2.) 5y - 14 = -y2

Thanks

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

Question 188716: Length of a Line Segment
20. The point A(x, 1) is 5 units from the point (2, 6).
a) Find a possible value for x.
b) Is this value the only solution? Explain.
Thank you very much!!! pleaseeeeee

Click here to see answer by jim_thompson5910(35256) About Me 

Question 188710: Length of a Line Segment
13. A line segment has endpoints K(-2, 7) and L(4, -2).
a) Find the coordinates of the midpoint of this line segment.
b) Use the length formula to verify your answer to part a).
Thank you very much!!!!

Click here to see answer by jim_thompson5910(35256) About Me 

Question 188708: Length of a Line Segment
12. Use the length formula to verify that C(-5, -1) is the midpoint of the line segment joining A(-2, 5) and B(-8, -7).
Thank you very much!!!

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

Question 188734: Solve x^2+3x is greater than 18 algebraically.
I worked it out to x is less than-6 or x is greater than 3.

Click here to see answer by user_dude2008(1862) About Me 

Question 188737: Please help me with this problem. I am confused and am trying to learn how to solve this type of problem. It is a fraction on top of a fraction and needs to be simplified; If anyone can help me understand this I would greatly appreciate it. Thank you.

2
--- +1
x+3
---
4
---- +2
x+3

Click here to see answer by jim_thompson5910(35256) About Me 
Question 188737: Please help me with this problem. I am confused and am trying to learn how to solve this type of problem. It is a fraction on top of a fraction and needs to be simplified; If anyone can help me understand this I would greatly appreciate it. Thank you.

2
--- +1
x+3
---
4
---- +2
x+3

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

Question 188745: I did this problem and somehow came out with such a big answer that it does not seem right can anyone explain how to solve this by simplifying? Thank you.
(2b+1)^4

Click here to see answer by edjones(8007) About Me 

Question 188744: stuck on solving this problem and I need help. I am trying to understand this type of problem and cannot grasp how to simplify this when the problem is set up this way
5x^2 - 3y^-1
-------------
x^-1 + y^-1

Click here to see answer by jim_thompson5910(35256) About Me 

Question 188743: I am struggling with this problem and do not know how to solve it. Please help if you can.. I am not to good at this type of problem and do not know where to begin. Thank you and this is a fraction over fraction and I need to simplify
%282%2F%28x%2B5%29%2B4%2F%28x%2B3%29%29%2F%28%283x%2B13%29%2F%28x%5E2%2B8x%2B15%29%29

Click here to see answer by Edwin McCravy(20055) About Me 

Question 188742: I'm having difficulty understanding this problem...
I am asked to evaluate the functions for the values of x given as 1,2,4,8 and 16. Describe the differences in the rate at which each function changes with increasing values of x:
if the functions are
f(x) = x^2 - 4x + 3 which is a quadratic function producing the points
(1,0)(2,-1),(4,3),(8,35),(16,195)
f(x) = 7^x which is an exponential function producing the points
(1,7)(2,49),(4,2401),(8,5764801), and (16,3.323X10^13)
f(x) = log x which is a logarithmic function producing the points
(1,0), (2,0.3), (4, 0.6), (8, 0.9)and (16, 1,2)
I am sure that the quadratic function is much more accelerated in rate than a linear function, and the exponential function is the fastest rate of all, with the slowest rate by the logarithmic function. But I am not sure how to justify each evaluation of rate? Could you please help me understand how to arrive at evaluating the differences in rate of these functions? Thanks!

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

Question 188752: Points are marked on a circle, and chords are drawn joining all the points.
1 point - 0 chords
2points - 1 chord
3 ponts - 3 chords
find an expression for the number of chords if there are n points on the circle.

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

Question 188773: Help please I am confused and need some clarifying on this problem I seem to be getting wrong answer. Thank you!
This is two fractions adding and then one is the answer
1 + 1 = 2
-------- ------- -------
x^2 -2x + x = 3

Click here to see answer by jim_thompson5910(35256) About Me 

Question 188824: Solve the quadratic equation by completing the square.
+2x%5E2+ + 5x - 8 = 0

Could you please provide me a detailed explanation of how to obtain the answer

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