Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 135033: Any assistance would be appreciated.
The expression for figuring a student's average test score is p/t, where p is the total points earned on all the tests, and t is the number of tests. Find a students average when 344 points are earned on 4 tests.

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Question 135031: Please help. Thank you.
Find -x when x=20

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Question 135067: What is the difference between domain and range? Describe a real-life situation that could be modeled by a function.
Can someone explain this so I can understand it?

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Question 135030: Please Help!
Factor
12m-12n+108
Thank you

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Question 134920: 3x^2+7=31
7n^2-6=15
5x^2-12=5
what does x =

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Question 135108: Ok my problem is a graph and im supposed to find the quadractic function and put it in standard form. The graph has two points on it which are vertex(0,3) and another point of (2,4). so today we went over in class how to solve problems like these so i put the information i had into f(x)= a(x-h)∧2 + k. I get all the way down to solving it but when i graph it. It doesnt graph out right which makes me think im doing it wrong. I know a is supposed to be negative but when i solved it, it came out positive so that was also wrong. I just dont know what to do.
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Question 135108: Ok my problem is a graph and im supposed to find the quadractic function and put it in standard form. The graph has two points on it which are vertex(0,3) and another point of (2,4). so today we went over in class how to solve problems like these so i put the information i had into f(x)= a(x-h)∧2 + k. I get all the way down to solving it but when i graph it. It doesnt graph out right which makes me think im doing it wrong. I know a is supposed to be negative but when i solved it, it came out positive so that was also wrong. I just dont know what to do.
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Question 135152: A circle passes through the origin at point (3,0) and (0,4). What is the radius of the circle?
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Question 135163: A silver coin was purchased for $430 in 1985.The market value for silver declined to the point that in 2007 the coin was worth $200. What was the average annual rate of depreciation of the silver coin?
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Question 135209: Happy Friday to you math pros! Can I get a little help from you this morning?
The expression for figuring a student's average test score is p/t, where p is the total points earned on all the tests, and t is the number of tests. Find a student's average when 344 points are earned on 4 tests.
The average is____ points.
thanks

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Question 135211: Is this right?
Use the commutative law to find an equivalent expression zy.
Is it z.x?
Thank you for your time.

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Question 135213: Please. I need help evaluating this problem.
p+q/5 for p=44 and q=1 (simplify the answer)
Thank you

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Question 135214: o.k. o.k. last one today I promise!
Use multiplying by 1 to find an expression equivalent to 16/7 with a denominator of 28x.
Do not simplify type a fraction

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Question 135227: Can all quadratic equations be solved by factoring? Explain with examples
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Question 135205: calculate the value of the discriminant of x^ + 2x +1 = 0 by examining the sign of the discriminant in part a, how many x- intercepts would the graph of y + x^ + 2x +1 have ? Why?
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Question 135282: I worked this problem out and I'm not sure of my answer. Please Help!!!
Solve equation using the quadratic formula
x%5E2-8x%2B16=0

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Question 135288: Please Help Me!!!
Solve equation by using the quadratic formula
3x%5E2-4x=2

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Question 135289: confused on quadratic formula
solve following equation using quadratic formula
x%5E2-8x%2B16=0

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Question 135299: Complete tables of value and Graph quadratic equation
y=x%5E2-2
x y
______
-2
-1
0
1
2

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Question 135300: Solve:
a) logbase3 27+ logbase3 9-logbase3 81= logbase3 x ( I think the answer is 3)
b) logbase2 8 - logbase2 4=x ( I think the answer is 1)
c) logbase5 6- logbase5 x=logbase5 2 ( I think the answer is 3)

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Question 135292: solve equation using quadratic formula
x%5E2-5x%2B7=5

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Question 135306: Michael is growing two strains of yeast in the labratory. Strain A originally had 80 cells and is known to quadruple every 2 hours. Strain B initially had 640 cells and doubles every 5 hours. When will Michael observe the same number of cells in the two yeast cultures.
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Question 135309: please help with this math question from blitzer 4
(1) use the graph of y =x^2 -2x -8, what are the solutions to this equation?
(b) does this unction have a maximum or a minimum ?
(c) what is the equation of the line of symmetry for this graph?
(d) what are the coordinates of the vertex in (x,y) form?

(2) calculate the value of the discriminant of x^2 + 2x +1 =0
(b)how many x intercepts would the graph of y =x^2 +2x +1
(3) if a rock is throw upward with an initial velocity of 40 ft per second from the top of a 30 ft building, write the height as so, velocity as vo and t as time. equation being s=-16t^2+40+30
(a) how high is the rock after 2 seconds?
(b) how many second will the graph reach maximum height?
(c) what is the maximum height?
i know it's a lot ,but i really need your help. thank you so much

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Question 135297: Solve for x: logbase2(x-6)+logbase2(x)=4
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Question 135305: Solve for x: 2(8)^(4x)-33(8)^(2x)+16=0
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Question 135356: Create an equation of a nonlinear function and provide two inputs for your classmates to evaluate.
Help please.

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Question 135303: Solve the system of equations: 9^(3x-y)=(1/81)^-1 and
(sqrt5^(2x-y))=1

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Question 135417: Expanding Brackets when cubed eg
(x - 5)3 Answer given is xcubed -15xsquared + 75x -125 How do I work this? I can do two brackets but having trouble with the three brackets. Thanks

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Question 135380: calculate the value of the discriminant of x^2 + 2x +1 = 0, and show work.
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Question 135380: calculate the value of the discriminant of x^2 + 2x +1 = 0, and show work.
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Question 135244: Given the function f(x) = 3x2-2x-1, graph f(x) labeling the x and y intercept(s), vertex, and axis of symmetry.
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Question 135477: Solve:
a) logbase5 6-logbase5 x=logbase5 2
b) logbase2 8-logbase2 4=x
c) logbase3 27+ logbase3 9-logbase3 81=logbase3 x
d) logbase2 8+logbase2 4-logbase2 2=x

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Question 135476: The vertices of the rhombus ABCD are A(-7,3),B(2,8),C(7,-1)and D(-2,-6).
a) Show that the opposite sides are parallel.
b) Show that the diagonals bisect each other.
I found the slopes to be : AB=5/9,BC=-9/5,CD=5/9,and AD=-9/5 so the opposite sides are parallel. For part (b) I found the midpoint for AC (-4,5) and BD(0,1). I think I may have this part wrong. Can someone please help me ???

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Question 135543: Hello, my great Math friend and helper my question is this.
If you are looking at a graph of a quadratic equation, how do you determine where the solutions are? Thanks in advance!
Roosevelt

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Question 135538: the area of a rectangular field is 1200 m^2. two parallel sides are fenced with aluminum at $20/m. the remaining two sides are fenced with steel at $10/m. the total cost is $2200
a. what is the length of each side fenced with aluminum?
b. what is the length of each side fenced with steel?

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Question 135624: Can someone show me how to find the equation for the line going through.
(2,3), (5,11) and (3,1) (3, -1)

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Question 135622: Find Equation for the line going through. How do I solve this?
(0,3),(5,0) and
M=2, (3,5)

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Question 135644: Can someone solve the equations for these. (3,1),(1,3) and (0,3),(5,0)to show me the answer? Thanks!

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Question 135724: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b Help me please.
(-9,2);6x=7y+5

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Question 135805: The square of the sum of a number and 3 is 16. Find the number. (There are two solutions.)
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Question 135857: Write an equation of the line containing the given point and parallel to the given line. Express your answer in the form y=mx+b
(3,7); x+7y=5
Will some one please help me. I do not understand these problems at all.

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Question 135865: In 1920, the record for a certain race was 45.5 sec. In 1950, it was 45.2 sec. Let
R(t)=the record in the race and t=the number of years since 1920.
a) Find a linear function that fits the data.
b) Use the function in (a) to predict the record in 2003 and in 2006.
c) Find the year when the record will be 44.6 sec.
Find a linear function that fits the data.
R(t)=?
Can you please help me with this?

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Question 135867: In 1995, the life expectancy of males in a certain country was 66.9 years. In 2002, it was 69.7 years. Let E represent the life expectancy in year t and let t represent the number of years since 1995.
Find a linear function E(t) that fits the data.
E(t)= ?t+?
HELP PLEASE!!!

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Question 135870: Find an equation of the line containing the given pair of points.
(-3,-1) and (-9,-6)
The equation of the line y = ?
Once again I need some serious help with this.

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Question 135885: Write an equation of the line containing the given point and perpendicular to the given line.
(3,-6);5x+2y=9
Can someone please help me with this.

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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