Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 42638: Identity the axis of symmetry and create a suitable table of values.
Please help - I am having a hard time understanding these!
y = -x^2 + 3x - 3
Thank you!
Click here to see answer by Nate(3500)

Question 42639: Graph the quadratic equation after completing the given table of values.
Can someone show how to do this?
y = x^2-1
Click here to see answer by Socom491(19)

Question 42672: Suppose you throw a baseball straight up at a velocity of 64 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0
� 16 represents 1/2g, the gravitational pull due to gravity (measured in feet per second2).
� v0 is the initial velocity (how hard do you throw the object, measured in feet per second).
� s0 is the initial distance above ground (in feet). If you are standing on the ground, then s0 = 0.
a) What is the function that describes this problem?
b) The ball will be how high above the ground after 1 second?
c) How long will it take to hit the ground?
d) What is the maximum height of the ball? What time will the maximum height be attained?

Click here to see answer by Nate(3500)

Question 42673: I need help to solve the equation h(X)=-32X^2/(50)^2+X+200
Click here to see answer by rapaljer(4671)

Question 42667: What exactly is a discrimanent? (sorry about the spelling)
Click here to see answer by Nate(3500)

Question 42743: A ball is thrown upward from the roof of a building 100 m tall with an initial velocity of 20 m/s. Use this information for exercises 35 to 38.

When will the ball reach a height of 80 m?

Click here to see answer by Nate(3500)

Question 42803: (a). write the value of the discriminant of each equation. (b). Then use it to decide how many different real number roots the equation has.(do not solve.)
3x to the second power - x - 1 = 0
Click here to see answer by fractalier(6550)

Question 42804: (a). write the value of the discriminant of each equation. (b). Then use it to decide how many different real number roots the equation has.(do not solve.)
x to the second power = 2x - 1
Click here to see answer by fractalier(6550)

Question 42797: 2x to the second power + 5x + 1 = 0
Click here to see answer by fractalier(6550)

Question 42799: 5x to the second power - 4x + 1 = 0
Click here to see answer by fractalier(6550)

Question 42835: I would really appreciate help on this equation. Thank you.
The length of a rectangle is 1 cm longer than its width. If the diagonal of the rectangle is 4 cm, what are the dimensions (the length and the width) of the rectangle?
Click here to see answer by longjonsilver(2297)

Question 42842: I am working on factoring trinomials. The thing is I am so confused with some problems.
2x� + x - 6
can you help me????
Click here to see answer by josmiceli(19441)

Question 42842: I am working on factoring trinomials. The thing is I am so confused with some problems.
2x� + x - 6
can you help me????
Click here to see answer by fractalier(6550)

Question 42842: I am working on factoring trinomials. The thing is I am so confused with some problems.
2x� + x - 6
can you help me????
Click here to see answer by AnlytcPhil(1806)

Question 42843: John has 300 feet of lumber to frame a rectangular patio (the perimeter of a rectangle is 2 times length plus 2 times width). He wants to maximize the area of his patio (area of a rectangle is length times width). What should the dimensions of the patio be, and show how the maximum area of the patio is calculated from the algebraic equation.
*Show clearly the algebraic steps which prove your dimensions are the maximum area which can be obtained.

Click here to see answer by psbhowmick(878)

Question 42871: Using the quadratic equation x2 - 4x - 5 = 0, perform the following tasks:
a) Solve by factoring.
b) Solve by completing the square
c) Solve by using the quadratic formula
Click here to see answer by fractalier(6550)

Question 42876: 2x2+3x-5=0
I'm supposed to solve this equation by using the quadratic formula the 2x2 is two x squared. thanks sarah
Click here to see answer by fractalier(6550)

Question 42877: i'm supposed to solve using the quadratic formula:
3x2-8x-2=0
the 3x2 is three x squared.
thanks
sarah
Click here to see answer by fractalier(6550)

Question 43105:
Solve the following systems: 2x - y = 1 6y - 2x = 9

Click here to see answer by checkley71(8403)

Question 43105:
Solve the following systems: 2x - y = 1 6y - 2x = 9

Click here to see answer by AnlytcPhil(1806)

Question 43106: Which of the ordered pairs (3,1),(0,-4),(-4,0),(-3,-7) are solution for the equation
x - y =4?
Click here to see answer by checkley71(8403)

Question 43111: -8x - 5y = -45 as a function of x.
Options:
A)f(x)=8x + 9
B)f(x) = -8/5 + 9
c)f(x) = 5/8x - 45
d)f(x) = -8x + 45
Click here to see answer by fractalier(6550)

Question 43111: -8x - 5y = -45 as a function of x.
Options:
A)f(x)=8x + 9
B)f(x) = -8/5 + 9
c)f(x) = 5/8x - 45
d)f(x) = -8x + 45
Click here to see answer by tutorcecilia(2152)

Question 43135: I don't understand this!!
Find the indicated root or state that the expression is not a real number.
The cube root of 8/125
I know that 5*5*5 is 125, but what about the 8?
Click here to see answer by stanbon(75887)

Question 43189: For the following equations I am coming up with no real number solutions for either of them. Am I missing something?
x^2 = -100
5x^2 = -125
Click here to see answer by Nate(3500)

Question 43139: I have to simplify the following expression. Can you please tell me if I did this right?
sqrt45x^23 That is the square root of 45 x to the 23rd power.
Here is what I am getting. I'm not sure I am doing the "to the power" part right.
sqrt 9*x^16*5x^7
= sqrt9x^16 * sqrt5x^7
= 3x^4 sqrt5x^7
Am I right?
Click here to see answer by fractalier(6550)

Question 41764: find "h" where 3x^2-hx+9 = 0 and the sum of the solutions is -4 and the product is 3
Click here to see answer by Nate(3500)

Question 43258: I can't get an anwser for this
Given
f(x) = f(x) = square root of x - 3
find f^-1(x)
Click here to see answer by venugopalramana(3286)

Question 43261: simplify
(6^(x-5)) / (6^(3-x))
Click here to see answer by fractalier(6550)

Question 43253: Please help me with this one...it confuses me
solve the following

3/(x-2) > 2/(x-5)
Thanks
Click here to see answer by venugopalramana(3286)

Question 43330: Please help me in solving the quadratic equation x^2 - 7x + 12 = 0. Show all steps.
Click here to see answer by psbhowmick(878)

Question 43347: Please show me how to find the x intercept and y intercept of the following equation.
y=x^2-6x-7
Thanks so much!
Click here to see answer by stanbon(75887)

Question 43361: 50= -4.9t^2 + 38t + 1.75
Click here to see answer by venugopalramana(3286)

Question 43484: Find the exact solutions to 6x^2+x+4=0 by using the quadratic formula.
Thanks
Click here to see answer by Nate(3500)

Question 43547: put the function in the form
y = a(x-h)� + k
Please show work.
Click here to see answer by Nate(3500)

Question 43568: HELP!
I do not understand how to equate the rest of the table for this equation.
y = x2 - 2x

x | y
-3
-2
-1
0
1

Click here to see answer by checkley71(8403)

Question 43569: I would appreciate help with this equation.
Identify the axis of symmetry, creat a suitable table of values, the sketch the graph (including the axis of symmetry).
y = x^2-4x
Click here to see answer by stanbon(75887)

Question 43573: Can someone help me solve this equation please?
9x^2=14
Thank you.
Click here to see answer by stanbon(75887)

Question 43563: Please help me solve this equations:
(x-10)(x-2)=-20
Click here to see answer by Nate(3500)

Question 43676: find the x intercepts y=x^2-x-20
Click here to see answer by Nate(3500)

Question 43677: find x intercepts y=x^2-4x+4
Click here to see answer by Nate(3500)

Question 43678: find x intercepts y=x^2-2x+4 could you show all steps i am having a hard time with this
Click here to see answer by Nate(3500)

Question 43889: find the solution to the equation: x^2+2x+5=0
a.x= -1 + - 2i
b.x= 1 + - 2i
c.x= -2 + - 4i
d.x= 2 + - 4i
using the solver it said there were no solutions, and i am confused on how to
answer,
Click here to see answer by Earlsdon(6294)

Question 44138: Don't understand what is correct way to do this!
Question: What's wrong with using product rule for solving equation -4(under radical sign) times -4 (under the radical sign?
I would say put both under radical and then square to get correct answer of 4. Notes say what is correct product? Hinted that 4 was not it.

Click here to see answer by psbhowmick(878)

Question 44105: can someone help me factor these problems? Thanks.
1.4r^3-4
2.(21-7t)+(3r-rt)
3.x^3+64y^3
4.(x^3+7x^2)(-4x-28)
Click here to see answer by stanbon(75887)

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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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