Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 243867: I am suppose to find out if this equations S= -0.0643t^2 + 3.2152t + 23.9801 is a good equation to base off a companies salary.
I figured it wasn't because it happens to be a parabole that goes down after 25 years of experience. I thought of tbe possibility of people staying at a job for 25 years is highly unlikely but possible... so I figured 18yrs + 25yrs = 43 years of age.
So I figured lowering a employees salary at the age of 44 and on was unethical.
Plus the pay rate increase beforehand was just way to fast and high...
What would you suggest would be a good solution for this company to pay salaries in a equation. It doesn't have to be a quadratic equation but I must be able to graph it.

Click here to see answer by Theo(13342)

Question 244009: What is the quadratic equation of 4x^2-8x-9=0
(simplifiy your answer. type an exact answer using radicals as needed. Use integers or fractions for any number in the expression. Express complex numbers in the form of i.)
Click here to see answer by mathitutor(25)

Question 244008: What is the quadratic equation of 4x^2-8x-9=0
(simplifiy your answer. type an exact answer using radicals as needed. Use integers or fractions for any number in the expression. Express complex numbers in the form of i.)
Click here to see answer by mathitutor(25)

Question 244090: how do u solve 2x squared-13x+6=0 in completing the square
Click here to see answer by solver91311(24713)

Question 244098: 8u^3v^0*10uv^9
Click here to see answer by checkley77(12844)

Question 244184: how do you solve this equation 9x� - 4x - 5 = 0
Click here to see answer by checkley77(12844)

Question 244409: a town population is 5400 in year 2010, show 3% growth for 3 years
Click here to see answer by rfer(16322)

Question 244456: how many x-intercept are there for the quadratric funtion y=x^2-6x+9
Click here to see answer by nyc_function(2741)

Question 244515: Use the quadratic formula to find the roots of the equation. Round to tenths if necessary. 3x2 - 4x - 8 = 0
Click here to see answer by solver91311(24713)

Question 244344: Write the quadratic equation in general form. What is the value of b2 - 4ac? 1 = 2x2 + 7x
Click here to see answer by solver91311(24713)

Question 244521: Use the quadratic formula to find the zeros of the function. y = 16x2 + 40x + 25
Click here to see answer by solver91311(24713)

Question 244520: Use the quadratic formula to find the zeros of the function. Round to tenths if necessary. y = 3x2 + 5x
Click here to see answer by solver91311(24713)

Question 244634: Write the expression 13m^8-3m^4+4 in quadratic form, if possible?
Click here to see answer by jim_thompson5910(35256)

Question 244688: for what values of b will the quadratic equation x^2+bx+10=0 have no real roots?
Click here to see answer by edjones(8007)

Question 244790: how do you factor
x^2=8x
Click here to see answer by edjones(8007)

Question 244784: How would I simplify √6 * √30/√10
Click here to see answer by richwmiller(17219)

Question 244641: Hi! I was wondering if anyone could walk me through how to do this problem?
Write a quadratic function given the following:
(-1,6), (1,4), (2,9)
y=
Thanks!
Click here to see answer by ankor@dixie-net.com(22740)

Question 244806: For the following equation, state the value of the discriminant and then describe the nature of the solutions.
2x^2-10x-12=0
What is the value of the discriminant?
Which one of the statements below is correct?
a. The equation has two imaginary solutions.
b. The equation has two real solutions.
c. The equation has one real solution?
Thanks for your help!
Click here to see answer by jim_thompson5910(35256)

Question 244844: what kind of roots does x^2+2x+8=0 have?
Click here to see answer by edjones(8007)

Question 244844: what kind of roots does x^2+2x+8=0 have?
Click here to see answer by richwmiller(17219)

Question 244844: what kind of roots does x^2+2x+8=0 have?
Click here to see answer by rapaljer(4671)

Question 244844: what kind of roots does x^2+2x+8=0 have?
Click here to see answer by jsmallt9(3758)

Question 244903: what is the area of 60m by 8m
Click here to see answer by Mr. Feliz(12)

Question 244962: Word problem. "The area of a certain square is 5 more than its perimeter. What is the length of each side of the square." and if i could see the what the equation looks like to, that would be wonderful. Thanks!
Click here to see answer by Theo(13342)

Question 245016: Iam preparing for GcSE
and i still dont get it can you give me some help or useful information which could help me
Click here to see answer by Theo(13342)

Question 245016: Iam preparing for GcSE
and i still dont get it can you give me some help or useful information which could help me
Click here to see answer by solver91311(24713)

Question 245216: please help me solve this problem:
A lidless box is made from a square piece of metal by cutting 3 cm squares from the corners and bending up the sides. If the volume of the box is 60 cm^3 find the dimensions of the square piece of metal
Click here to see answer by ankor@dixie-net.com(22740)

Question 245316: Enter the quadratic equation in standard form. x^2 - 10 + 3x = (x - 2)^2 + 1

Click here to see answer by rapaljer(4671)

Question 245351: Find the possible value or values of r in the quadratic equation r^2 � 7r � 8 = 0.
Click here to see answer by dabanfield(803)

Question 245396: how many solutions does y^2= 4/7 y +2/5 have?
f(x)=-2x^2+2x+6
what is the x cordinate of the vertex?
the y cordinate of the vertex?
the equation of the line of semitry?
the minumun/maximun value of f(x)?
Click here to see answer by stanbon(75887)

Question 245437: A farmer decides to enclose a rectangular garden using the side of a barn as one side of the rectangle. What is the maximum area that the farmer can enclose with 100 feet of fence? What should the dimensions of the garden be to give this area? The maximum area the farmer can enclose 100 feet of fence is how many square feet? The dimensions of the garden to give this one is 50 feet by __ feet?
Click here to see answer by richwmiller(17219)

Question 245438: Solve for x:
5x^2=-17x-6
I have no idea where to begin. Thanks.
Click here to see answer by unlockmath(1688)

Question 245438: Solve for x:
5x^2=-17x-6
I have no idea where to begin. Thanks.
Click here to see answer by richwmiller(17219)

Question 245735: Is y = (x + 3)(x � 6) � 2x2 linear or quadratic? Identify the quadratic, linear, and constant terms.
Click here to see answer by TheProdicalSon(34)

Question 245734: Is y = (x + 3)(x � 6) � 2x2 linear or quadratic? Identify the quadratic, linear, and constant terms.
Click here to see answer by richwmiller(17219)

Question 245751: I need to find the zeros of f(x)=x^2+2ix-3.
I tried using the quadratic equation, but the i is confusing me.
Help?
Click here to see answer by jim_thompson5910(35256)

Question 245836: how would you solve this quadratic equation y squared plus 3y plus 2=o
Click here to see answer by College Student(505)

Question 245836: how would you solve this quadratic equation y squared plus 3y plus 2=o
Click here to see answer by dabanfield(803)

Question 245847: How do a use the quadratic formula to solve this partial equation..
(4x+1)^2 = 3x+4
Click here to see answer by nerdybill(7384)

Question 245847: How do a use the quadratic formula to solve this partial equation..
(4x+1)^2 = 3x+4
Click here to see answer by dabanfield(803)

Question 245847: How do a use the quadratic formula to solve this partial equation..
(4x+1)^2 = 3x+4
Click here to see answer by jsmallt9(3758)

Question 245854: Prove the quadratic formula by completing the square.
ax^2+by=-c
Click here to see answer by jsmallt9(3758)

Question 245844: if a number is added to two times its square, the result is thirty-six. Find all such numbers
Click here to see answer by dabanfield(803)

Question 245814: I need help w/step by step instruction on how to solve this word problem.
The speed of a boat in still water is 10 km/h. The boat travels 48km upstream and 48km downstream in a total time of 10 hr. What is the speed of the stream?
I think I know the answer but am unsure of how to show it, step by step, in an algebraic equation.
Thanks!
Click here to see answer by Alan3354(69443)

Question 245946: Quadratic Functions and Equations

The first question I gave it go at.
Solve.
3t^2-2=0
+2+2
3t^2=2
______
3 3

t^2=2/3 or (I don't know how to do the square root sign on here.)
_ ______ _ _ __________
V2/3 or V 2/3

Hope I did it right.

Then the next is also solve.

x^2+7=3x
Now so far all I have done is taken 3x from both sides
which brings us to
x^2-3x+7=0
At this point I am lost. Because normally I would think we would do this but I can't find anything to add up to equal 3
(x )(x )=0

So I am stuck with this problem.

Last problem I am having is one that I got so confused w/ the process that I couldn't even start it. I am just lost.

It states:
For each quadratic function, (a) find the vertex and the axis of symmetry and (b) graph the function.

g(x)=2x^2+5x-1

I know we follow the form of a(x-h)^2+k. But I am so lost at this. I know it is most likely real easy but I am lost.
Click here to see answer by richwmiller(17219)

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, 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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, 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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, 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