Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 351803: multiply and simplify sqrt8x^5 * sqrt 3x^2 I have tried to figure out how to solve this I keep getting an answer of 2x^3sqrt 6x The steps and answer would be greatly appreciated thank you
Click here to see answer by scott8148(6628)

Question 351950: A model for a company's revenue from selling a software package is
r = -2.5p (squared) + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
Click here to see answer by stanbon(75887)

Question 352006: this is a rational equation
Z+x + 5z +z
Zx^2 z^2x

Click here to see answer by Fombitz(32388)

Question 352114: Solving Radical Equations (quadratic)
I am given a right triangle. One leg is a=7mm and the hypotenuse is c=7.4mm.
It says to find the length of the unknown side b of the given right triangle
and to also give the exact length and a one decimal place approximation.
Click here to see answer by Fombitz(32388)

Question 352169: how do I find the vertex in fraction form for the following problem:
f(x)=-3x^2+2x=5
Click here to see answer by Fombitz(32388)

Question 352195: B = 2AD + 3CD
solving for A
Click here to see answer by Fombitz(32388)

Question 352198: Three times the difference between a number and twenty-one is fifty. Find the number.
Click here to see answer by nyc_function(2741)

Question 352192: x2 + 3 = 4x2 + x - 1
The 2 are exponents.
Click here to see answer by nerdybill(7384)

Question 352193: square root 3x+2=3x
Click here to see answer by Fombitz(32388)

Question 352265: Find the exact solution to 6x^2+1= -8x by using the Quadratic Formula.
A.) -4�√10
B.) (-4�√22)/6
C.) (-2�2√10)/3
D.) (-4�√10)/6
Click here to see answer by jim_thompson5910(35256)

Question 352418: [-12 + (-18)](-16 + -4)
[-12 + (-18] = -30
-30(-16 + -4) = 480 + 120
480 + 120 = 600
Did I calculate this correctly
Click here to see answer by mananth(16946)

Question 352374: What is the solution to (2t-2)(2t+2) ?
Click here to see answer by jim_thompson5910(35256)

Question 352459: Do you think each generalization is true for all integers a, b, c, and d?
Substitute integers and find counterexamples, if possible...
A. (a + b) divided by c = a divided c + b divided c.
B. a divided (b + c) = a divided b + a divided c.
C. (a + b)(a b) = ab.
D. If a < b, then a2 < b2
E. If a < b, then c-a < c-b
A. TRUE IF C IS NOT ZERO
B. FALSE,
C. FALSE,
D. TRUE
E. FALSE,
I don't know what counter examples really mean
Click here to see answer by edjones(8007)

Question 352586: Find the vertex, the line of symmetry, and the maximum or minimum value of f(x).
F(x)=1/5(x+1)^2+7
Any help is greatly appreciated. These always confuse me.
Thank you in advance!
Click here to see answer by Fombitz(32388)

Question 352607: Find the vertex, the line of symmetry, the maxiumum or minimum value of the quadratic function, and graph the function.
f(x)=-2x^2+2x+3
The x-coordinate of the vertex is:
The y-coordinate of the vertex is:
The equation of the line of symmetry is x=
The maximum/minimum of f(x) is:
The value, f(1/2)=7/2 is minimum or maximum?
So far, I have tried to work the problem. This is what I have:
f(x)=-2x^2+2x+3, so you use (-b/2a,4ac-b^2/4a)
Therefore, if -b/2a=-(2)/2(-1)=1
Then put 1 back into the equation.
f(1)=-2(1)^2+2(1)+3
Using FOIL, I come up with 1.
This where I get confused. Is the x-coordinate 1? How do i come up with y-coordinate?
Is the line of symmetry also 1?
I think I confuse myself the most when I try to apply the FOIL method?
Any help is so very much appreciated! Thanks in advance!
Click here to see answer by Fombitz(32388)

Question 352626: x3rd + x2nd - 2x =2
Click here to see answer by Jk22(389)

Question 352720: find the equations of the asymptof of the curve; y = 2x - 3 / X + 1
Click here to see answer by Fombitz(32388)

Question 352787: Hi im in the 10th grade and I definitley need help in math .. right now we are working on quadratic formula and the discrminent.
can you show me how to solve
4x-6=-12x
Click here to see answer by jim_thompson5910(35256)

Question 352786: x squared-8x-29=(this equal sign has 3 lines)(x+a)squared+b, where a and b are constants. find the value of a and the value of b
Click here to see answer by solver91311(24713)

Question 352771: Can you please help me understand how to do this problem.
Solve for X
x^2 - x + 11 = 0 so x = ?
I came up with this answer and I am unsure if it is correct.
1 + sqrt43 over 2
1 - sqrt42 over 2

Click here to see answer by jim_thompson5910(35256)

Question 352873: there are currently 20 members in a school's ski club and the dues are $8 per member. to encourage the recruiting of new members, the club treasurer suggests that for each new member recruited, the dues for all members be reduced by 10 cents
a) how much membership money will the club have if it recruits 10 new members? 15 new memers? N new members?
b) for what value of N will be the club's total membership money be a maximum??
please help i am clueless in how to solve this problem thanks!!
Click here to see answer by scott8148(6628)

Question 353035: f(x)=8-x^2
I got
Vertex (0, x^2)
Line of Symmetry x=0
Max/Min -x^2
Value of, f(0)=8 max/min
I choose max.
What I cannot figure out is how do I graph this one?
Click here to see answer by stanbon(75887)

Question 353026: Algebra: Find the vertex, symmetry, maximum, and minimum of f(x)=-x^2+12x+1.
Click here to see answer by robertb(5830)

Question 353039: Find vertex, line of symmetry, max/min value of the quadratic function, and graph the function.
f(x) = -2x^2+2x+9
x-coordinate of the vertex is?
y-coordinate of the vertex is?
the equation of the line of symmetry is x=?
Max/min of f(x) is ?
The value, f(1/2)=19/2 is the minimum or maximum?
Click here to see answer by solver91311(24713)

Question 353037: Solve 6x+x(x-3)=0
Find the x-intercepts of f(x) = 6x+x(x-3)
Solutions in ordered pair.
x-intercept in ordered pair.
Click here to see answer by edjones(8007)

Question 353174: factor completely:
2x^2-20x+50-18y^2=0
Click here to see answer by CharlesG2(834)

Question 353174: factor completely:
2x^2-20x+50-18y^2=0
Click here to see answer by ewatrrr(24785)

Question 353193: How do I use the quadratic formula to solve this x^2-3x=-6 ?
Click here to see answer by ewatrrr(24785)

Question 353221: find the vertex, the line of symmetry and the maximum or minimum value of f(x). Graph the function
f(x)=1/2(x+3)^2+3?
Click here to see answer by stanbon(75887)

Question 353348: list an equation that models the following characteristics:
Graph is a parabola that opens up
vertex is loctaed at (-73,26)
Click here to see answer by edjones(8007)

Question 353418: Solve the quadratic equation by completing the square:
4(x)^2 � 12(x) � 55 = 0
4(x)^2 � 12(x) = 55
4(x)^2 � 3(x) = 55
(x)^2 � 3(x) = 55/4

I know I have to add (b/2)^2 to both sides of the equation, which I calculated as 9/4...or do I keep this as (3/2)^2?
(x^2 � 3x + 9/4) = (55/4 + 9/4)
(x^2 � 3x + 9/4) = 16
And this is where I get lost. There seem to be so many different ways this is done and I can't figure out what my goal is. I've been trying to figure this out for a while and could use a little guidance. Thanks for your time :-)
Click here to see answer by edjones(8007)

Question 353431: can you help with answers to these two for me please
first ....
5(-m-3)+4m-10= if m=5
second...
-w-5+5(-5w+9)= if w=1
Click here to see answer by stanbon(75887)

Question 353398: If f(x)=ax^2+bx+c
Show that (f(x-h)-f(x))/h = 2ax+ah+b
Click here to see answer by jsmallt9(3758)

Question 353347: list the vertex for each parabola modeled by these second-degree equations. Be sure to include both coordinates of the vertex in each response. y=3(x-5)^2-8
Click here to see answer by jsmallt9(3758)

Question 353571: what is the difference between solving equation by factoring and equation using tsbles? can you please give me an example thankyou.. Yuli
Click here to see answer by Alan3354(69443)

Question 352806: A rectangle has a perimeter of 42 feet. The length is 3 feet longer than the width . What is the lenght and width of the deck
Click here to see answer by sofiyac(983)

Question 353641: The x-intercepts of a parabola are (-5,0) and (3,0). Determine the x- coordinate of the vertex.
Click here to see answer by Fombitz(32388)

Question 353342: provide a sketch of the graph for the following wquation. be sure the graph clearly indicates the location of the vertex. y-20=(x-54)^2
Click here to see answer by Fombitz(32388)

Question 353349: list an equation that models the following characteristics
graph is a parabola that opens down
vertex is located at (0,84)
graph is wider that the graph of y=x^2
Click here to see answer by Fombitz(32388)

Question 353639: The president of a company producing water pumps has gathered data suggesting that the average cost in dollars of producing x units per hour of a new style of pump will be c(x)=x^2-22x+166. Determine the number of pumps per hour to produce to keep the average cost below $75 per pump.
Click here to see answer by josmiceli(19441)

Question 353786: solve by completing the square
x^2-4x=10
x=
type exact answer using radicals as needed
Click here to see answer by solver91311(24713)

Question 353789: solve by completing the square
x^2+7x-30=0
what is the solution for x?? use commas to separate as needed
Click here to see answer by josmiceli(19441)

Question 353795: The sum of the base and height of a triangle is 16 inches. If the area of the triangle is 30 square inches, what is the length of the base and height?
Click here to see answer by mananth(16946)

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, 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