Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 150315: y=x^2+2x+1 I discriminant for this what I have can you tell me if this right.
d=b^2-4ac, 2*2^2-4*1*1, 8-4=4

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

Question 150370: Please help. If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30 foot building how high is the rock after 2 seconds,how many seconds will the graph reach maximum height and what is the maximum height? Can someone please help
Click here to see answer by Earlsdon(6294) About Me 

Question 150442: The following appears to prove that any two numbers are equal. Obviously it is wrong; can you spot the flaw?
Let a and b be any two different numbers. Define x as the difference between them:
x = b - a
Multiply both sides of the equation by (b-a):
x(b – a) = (b – a)(b – a)
bx – ax = b^2 – 2ab + a^2
Add –bx+ab-a^2 to both sides and simplify:
bx – ax – bx + ab – a^2 = b^2 – 2ab + a^2 – bx + ab – a^2
bx – bx – ax + ab – a^2 = –bx + b^2 – 2ab + ab + a^2 – a^2
–ax + ab – a^2 = –bx + b^2 – ab
Both sides of this equation have a common factor:
a(–x + b – a) = b(–x + b – a)
Divide both sides by (-x+b-a):
a(–x + b – a)/-x + b-a = b(–x + b – a)/ -x + b - a
a = b

What was my mistake?

Click here to see answer by vleith(2983) About Me 

Question 150327: i need to find how how to do factoring
5t2 - 10t = 0

Click here to see answer by smalltimegenius(2) About Me 

Question 150441: The following appears to prove that any two numbers are equal. Obviously it is wrong; can you spot the flaw?
Let a and b be any two different numbers. Define x as the difference between them:
x = b - a
Multiply both sides of the equation by (b-a):
x(b – a) = (b – a)(b – a)
bx – ax = b^2 – 2ab + a^2
Add –bx+ab-a^2 to both sides and simplify:
bx – ax – bx + ab – a^2 = b^2 – 2ab + a^2 – bx + ab – a^2
bx – bx – ax + ab – a^2 = –bx + b^2 – 2ab + ab + a^2 – a^2
–ax + ab – a^2 = –bx + b^2 – ab
Both sides of this equation have a common factor:
a(–x + b – a) = b(–x + b – a)
Divide both sides by (-x+b-a):
a(–x + b – a)/-x + b-a = b(–x + b – a)/ -x + b - a
a = b

What was my mistake?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 150367: Could you please help with this. Find the corresponding y values for x=-4,-3,-2,-1,0,1,2 if y=x^2+2x-15 Thank you
Click here to see answer by Fombitz(32388) About Me 

Question 150456: My father-in-law used to have a garden in our backyard. We worried about him weeding the whole garden by himself so we usually sent one of our children out to help. Now, if my son worked on the garden by himself it would take him 4 hours longer to weed the garden than his grandfather took. However, if he worked with my father-in-law, he worked twice as fast. The formula
t(t+4)/3t+4 represents how long it took for both of them to weed the whole garden working together.
Using the formula t(t+4)/3t+4, How long would it take the son alone,if it took an hour and a quarter for them to weed the garden together?
Please help?

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

Question 150470: Can someone please help me I seem to not be able to find the corresponding y values for x=-4,-3,-2,-1,0,1,2 if y=x^2+2x-15. Also can you show me how it is graphed. Thank you
Click here to see answer by jim_thompson5910(35256) About Me 

Question 150503: solve equation by completing the square
p^2-8+12=0
this is not from the text book but from homework assignment.

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

Question 150318: The path of a falling object is given by the function s+-16t^2+vot + so where represents the initial velocity in ft/sec and represents the initial height in feet. Also, s o represents the height in feet of the object at any time, t, which is measured in seconds.
a) If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30-foot building, write the height (s) equation using this information.



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

Question 150532: Please help I am stuck on this problem f(x)=3x^2+5x-2 find F(-2),F(4)Thank you in advance.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 150584: 1. The square of an interger is 30 more than the integer. Find the integer.
I tried.... x^2 = x+30 to get a solution of x=6 and x-5
I am unsure if this is the right equation for the problem above.
2. The sum of an integer and its square is 30. Find the number.
I tried..... x + x^2= 30 to get a solution of x=-6 and x=5
Once again I am unsure if this is the right equation for the problem above.

Click here to see answer by Edwin McCravy(20054) About Me 

Question 150585: Help!!! I have no idea how to solve these problems......
Solve: 2x*(x+3) = x+25
and
3x*(x+3) = 2*(5x+1)
and
(x^2-2x)(x+3) = -2x(x+1)

Click here to see answer by edjones(8007) About Me 
Question 150585: Help!!! I have no idea how to solve these problems......
Solve: 2x*(x+3) = x+25
and
3x*(x+3) = 2*(5x+1)
and
(x^2-2x)(x+3) = -2x(x+1)

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

Question 150568: Find the value for the correlation coefficient r
x 5, 1, 4, 2, 3
-------------------------
y 5, 10, 12, 4, 8

Can anyone help?

Click here to see answer by Edwin McCravy(20054) About Me 

Question 150609: (4 / x^6) ^3 I need to simplify it and I am pulling my hair out. Maybe I am too old for this! Can you possibly show me a detailed explanation?
Click here to see answer by stanbon(75887) About Me 

Question 150601: I really need help with this 4 part equation.I have looked at it and just stumped could someone please help me.
A.Without solving the equation or factoring , determine the solutions to the equation x^2-2x-8=0 by inspecting the graph. why?
B. Does the function have a maximum or a minimum?
C. What is the eqution of the line of symmetry for this graph?
D. What are the coordinates of the vertex in (x,y)form?

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

Question 150618: Please show me how to work out this problem. I know the roots are -1/3, -1/2, and 3, but I don't know how to work the problem by hand to find the answer. Please help so I know how to solve this kind of problem in the future!
-21x^3 + 53x^2 + 53x + 20 = 3x^3 + x^2 -3x + 8
-24x^3 + 52x^2 + 56x + 12 = 0

Click here to see answer by Edwin McCravy(20054) About Me 

Question 150596: y=x^2+2x-15 find the corresponding y values for x=-4,-3,-2,-1,0,1,2 y=4x^2 +2x-15 y=18x-15 y=18x-15 then moved the 18 xon the other side to move the x to the other side y=15-18x the answer is -3 is this right. Then how do i find the corresponding for the # that is at the top.
Click here to see answer by jim_thompson5910(35256) About Me 

Question 150638: How do you factor completly 5y^8 - 125, whats the factored answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 150648: How do you completly factor 6y2 - 54, whats the answer?
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Question 150651: How do you completly factor 6y^2 - 54, whats the answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 150650: How do you completly factor 6y^2 - 54, whats the answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 150647: How do you completly factor 6y2 - 54, whats the answer?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 150644: How do you completly factor 4c^2 - 12c + 9, whats the answer?
Click here to see answer by scott8148(6628) About Me 

Question 150646: How do you completly factor p^4 - 1, what is the answer?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 150646: How do you completly factor p^4 - 1, what is the answer?
Click here to see answer by scott8148(6628) About Me 
Question 150646: How do you completly factor p^4 - 1, what is the answer?
Click here to see answer by vleith(2983) About Me 

Question 150652: How do you completly factor a problem like x^2 + 10x + 21, what's the answer for it?
Click here to see answer by jim_thompson5910(35256) About Me 

Question 150645: How do you completly factor p^4 - 1, what is the answer?
Click here to see answer by scott8148(6628) About Me 

Question 150639: How do you factor a^2 - 2ab - 15b^2 completly, whats the answer?
Click here to see answer by jim_thompson5910(35256) About Me 
Question 150639: How do you factor a^2 - 2ab - 15b^2 completly, whats the answer?
Click here to see answer by scott8148(6628) About Me 

Question 150659: Completly factor 5x^2 - 10x, what's the answer please?
Click here to see answer by oscargut(2103) About Me 

Question 150664: Solve.
x2 + 3 = -17

Click here to see answer by checkley77(12844) About Me 

Question 150658: Completly factor 5x^2 - 10x, what's the answer please?
Click here to see answer by checkley77(12844) About Me 

Question 150657: Completly factor 5x^2 - 10x, what's the answer please?
Click here to see answer by checkley77(12844) About Me 

Question 150656: How do you completly factor a^2 - 10ab + 3b^2, what's the answer?
Click here to see answer by stanbon(75887) About Me 

Question 150685: The path of a falling object is given by using the function s= -16t^2+ v sub0 t+ s sub0 where
v sub0 represents the initial height in ft/sec and
s sub0 represents the initial height in feet.
Also, s represents the height in feet of the object at any time, t which is measured in seconds.
A. If a rock is thrown upward with an initial velocity of 40 feet per second from the top of a 30 foot building, write the height (s) equation using this information...
I got.. -16t^2 + 40t + 30
B.How high is the rock after 2 seconds?
I got..
s(t)= -16(2)^2 + 40(2) + 30
s(t)= 46
C. After how many seconds will the graph reach maximum height? Show work algebraically.

D What is the maximum height?


I need help on C and D... and please tell me if I have figured A and B correctly... Thank you so very much.

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

Question 150687: write the rational expression Y 3/7 as a root
thank you

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

Question 150686: Solve 3x^2 + 19x-14=0 using the quadratic formula

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Question 150695: carry out the indicated operation
3rd root of 8x + 3rd root of 27x
I don't know if you understand what i'm asking or not the 3 is in the Vof the root sign. if there is a way to write this on a keyboard please let me know.
thank you

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

Question 150699: simplify
X^4/5
-------
X^2/3

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

Question 150698: carry out the indicated operation
(root sign 3x-5)^3

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Question 150697: rationalize the denominator
7
------
root sign 10

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

Question 150696: carry out the indicated operation
(x - root sign 7)(x-root sign 7)

Click here to see answer by edjones(8007) 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