Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 121165: Which of the following functions represents a person who processes a certain medication more quickly than another person? (a) A=30(0.2)^t ,(b) A=30(0.4)^t , (c) A=30(12)^t (d) A=30(14)^t ?
Click here to see answer by checkley71(8403) About Me 

Question 121177: What are the coordinates of the focal point of y=3(5)^x-1 +-2? ( this + -2 is not part of the exponent).
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Question 121176: Using the following sequence,determine what type of function describes the sequence. Once you determine the type of function, find the function algebraically: (4,9,17,28,42,59,...)
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Question 121169: Donny borrows $20 from his brother Mike at a daily interest rate of 5%. How much will he owe his brother after 14 days?
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Question 121167: The graph of an exponential function of the form y=a(b)^x passes through the points (1,2.8) and (2,3.92). What is the value of b?
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Question 121202: I have to find the line of symmetry equation for a graph. The equation was vertex is (-2,-9) and minimum parabola. Can you help me to find the equation for this line of symmetry?
The equation was:
x(sq)+4x-5=0
There is no ISBN number on this it is an online course.

Click here to see answer by scott8148(6628) About Me 

Question 121224: Please help! I need to be able to do this type of problem for my Chemistry II class and its been a little while since I've had this type of math...

((1.8*10^-3)/(9.0*10^-4))^X = ((6.4*10^-1)/(8.0*10^-2))
In case this is confusing the way it is written out, on the left side of the equation the entire division problem is raised to the power of x.
I know this is a quadratic problem, where I have to get to ax^2 + bx + c = 0, then go on and plug the numbers into the quadratic formula. I'm having trouble getting it into this form though. The professor said that the final answer is 3, but I havent been able to get that on my own. I'd appreciate if anyone could give me a step-by-step explanation of how to do this, so that I can go on to do the other similar problems on my own. Thanks a lot!

Click here to see answer by scott8148(6628) About Me 
Question 121224: Please help! I need to be able to do this type of problem for my Chemistry II class and its been a little while since I've had this type of math...

((1.8*10^-3)/(9.0*10^-4))^X = ((6.4*10^-1)/(8.0*10^-2))
In case this is confusing the way it is written out, on the left side of the equation the entire division problem is raised to the power of x.
I know this is a quadratic problem, where I have to get to ax^2 + bx + c = 0, then go on and plug the numbers into the quadratic formula. I'm having trouble getting it into this form though. The professor said that the final answer is 3, but I havent been able to get that on my own. I'd appreciate if anyone could give me a step-by-step explanation of how to do this, so that I can go on to do the other similar problems on my own. Thanks a lot!

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

Question 121222: graph
y=-1/3x+1
y=1/3x+1
y=-3x+1
y=3x+1

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Question 121241: ((0.5-2x)(0.16-x))/(0.3 + x) = (1.2)(10^-2)
I know the answers to this are 0.279 and 0.137, but everytime I work out the problem I get something completely different. I'd really appreciate if someone could help me get this into ax^2 +bx+c=0 form and then into the quadratic formula. Thanks a lot!

Click here to see answer by MathLover1(20849) About Me 

Question 121292: 37 = x + x-3 + .5x I have to solve it.
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Question 121335: Can you please help me understand the method of arriving at the answer of this problem? Thank you.
In my textbook this was the exercise question
Write the product in standard form:
(2+3i)(2-i)
The answer in the back of the book was X= -4 +or- the sqrt of the fraction 8/3.
I don't understand how they arrived at this answer.

Click here to see answer by Earlsdon(6294) About Me 
Question 121335: Can you please help me understand the method of arriving at the answer of this problem? Thank you.
In my textbook this was the exercise question
Write the product in standard form:
(2+3i)(2-i)
The answer in the back of the book was X= -4 +or- the sqrt of the fraction 8/3.
I don't understand how they arrived at this answer.

Click here to see answer by checkley71(8403) About Me 
Question 121335: Can you please help me understand the method of arriving at the answer of this problem? Thank you.
In my textbook this was the exercise question
Write the product in standard form:
(2+3i)(2-i)
The answer in the back of the book was X= -4 +or- the sqrt of the fraction 8/3.
I don't understand how they arrived at this answer.

Click here to see answer by MathLover1(20849) About Me 

Question 121334: Can you please help me understand the method of arriving at the answer of this problem? Thank you.
In my textbook this was the exercise question
Write the product in standard form:
(2+3i)(2-i)
The answer in the back of the book was X= -4 +or- the sqrt of the fraction 8/3.
I don't understand how they arrived at this answer.

Click here to see answer by Edwin McCravy(20055) About Me 

Question 121325: Solve: 16^2x+1=8^x
Click here to see answer by jim_thompson5910(35256) About Me 

Question 121328: A quadratic function has x-intercepts at (-8,0) and (2,0). What is the transformational form of the function if the minimum y value is -3?
a) y=3/25(x+3)^2-3
b) 25/3(y+3)=(x+3)^2
c) 25/3(y-3)=(x-3)^2
d) 3/25(y-3)=(x-3)^2

Click here to see answer by Edwin McCravy(20055) About Me 

Question 121168: What function represents the data in the following tables?
a) x-0,1,2,3
y-24,12,6,3
b) x-0,3,6,9
y-5,10,20,40

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Question 121356: Use the quadratic formula to solve
2x squared - 5x = 3

3x squared - 2x + 1 = 0


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Question 121358: Solve.
A garden area is 30 feet long and 20 feet wide. A path of uniform width is set around the edge. If the remaining garden area is 400 feet squared, what is the width of the path?

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Question 121306: There are two rectangular plots of land, A and B. The difference between the length and the width of A is 3 m. The length of A is 8 m more than that of B; the width of A is 5 m less than the width of B and the area of B is 250 m squared more than half the area of A. Find lengths and widths of A and B.
Formula given:
Area of B - 1/2 Area of A = 250

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Question 121355: Solve.

Find 2 consecutive positive integers such that the sum of their squares is 85.

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Question 121354: Solve by completeing the square.
x squared - 6x -3 = 0


2x squared + 10x + 11 = 0

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Question 121353: solve the equation for x by factoring the left-hand side.

x squared + 4x + 4 = 7

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Question 121352: Solve the equations for x.


25x squared = 13



2(x-5)squared = 3

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Question 121448: please solve this quadratic formula for me, this is an algebra book question.
6x^ +3x -18 =0, help me please

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Question 121505:
What is the general form of the equation: -1/2(y+2)=(x-4)^2?

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Question 121509: Old MacDonald wants to build a rectangular pen for his animals. He has 40m of fencing and he plans to use the barn as one side for his pen. What dimensions will give the maximum area?
Click here to see answer by checkley71(8403) About Me 

Question 121511: The fromula A=30(0.46)^t describes the amount of ASA in a typical patient's bloodstream in mg/cm^3 in terms of the time t in hours after the peak dosage.Make a table of values and draw the graph of this function. Can someone please help me ???
Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 121506: What tpye of polynomial sequence has a common difference at D2? Is it linear,quadratic,cubic, or quartic?
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Question 121510: Given the quadratic equation x^2-15=2k(x-4), find k if there are two real and equal roots.
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Question 121510: Given the quadratic equation x^2-15=2k(x-4), find k if there are two real and equal roots.
Click here to see answer by bucky(2189) About Me 

Question 121508: Which function represents the data in the following table of values?
a) x- 0,1,2,3
y- 24,12,6,3
Is it (a)y=24(0.5)^1/x ,(b)y=24(2)^x ,(c) y=12(0.5)^x, or (d) y=24(0.5)^x
b) x-0,3,6,9
y-5,10,20,40
Is it (a) y=5(2)^x ,(b)y=5(3)^x ,(c) y=5(2)^x/3,or (d) y=5(3)^x/2

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

Question 121500: What type of function does the following table of values represent?
x- -21,-18,-15,-12,-9
y- 3,6,12,24,48
Is it arithmetic,quadratic, cubic, or exponential?

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Question 121503: Use completing the square to find the zeros of the function y=9x^2-12x-33.
Click here to see answer by MathLover1(20849) About Me 

Question 121458: i'm sorry, i left ouy sq 2.the question again was solve the quadratic formula for 6x^2+3x-18=0. help
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Question 121714: Joey did an experiment in which he measured the temperature(T) of a cup of hot chocolate, in degrees celcius, with respect to time(t), in minutes. He found that the function T=33(0.28)^t/26 +24 described the relationship. What was the room temperature of the room in which it was placed to cool?
I think it is 24 degrees celcius, does anyone know this one ?

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Question 121713: What is the correct mapping rule to show the transformation of y=2^x for the equation 1/4(y-5)=2^2x-3 ? Can someone please help, I've been stuck for a few days on this one.I'm guessing: (x,y)-(x+3),(4y+5), anyone know?
Click here to see answer by stanbon(75887) About Me 

Question 121711: What Transformation of y=2^x results in the equation 1/5(y-3)=2^-(x-4)? Is it:
a)horizontal translation of 4,vertical translation of 3,stretch of 5, reflection in x-axis
b) ht of -4,vt of 3, stretch of 5, reflection in x-axis
c) ht of 4,vt of 3, stretch of 5, reflection in y-axis
d) ht of -4,vt of 3, stretch of 5, reflection in y-axis
Can someone please help me??????

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

Question 121710: Find the value of c so that the quadratic equation 2x^2+4x-c=0 has two equal real roots. Can someone please help me ? I think the answer is -1/2 but I'm not sure ?!!?
Click here to see answer by Fombitz(32388) About Me 

Question 121705: Find the root(s) of : 8/x-3 -3= 2-3x/x=3 (Note: the subtract 3 is not part of the denominator) Can someone PLEASE help me with this???
Click here to see answer by Fombitz(32388) About Me 

Question 121712: Simplify:

a) (3/4)^-2 +(2/5)^0 -(4/3)^2
b) (x^-1 + y^-2)^-2

Click here to see answer by checkley71(8403) About Me 
Question 121712: Simplify:

a) (3/4)^-2 +(2/5)^0 -(4/3)^2
b) (x^-1 + y^-2)^-2

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Question 121704: Bacteria has a tripling time of 8 minutes. If there were initially 24 spores of bacteria on a hamburger, how many spores will be present after one hour ?
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Question 121706: What is the horizontal asymptote of the function y=4(2^x)+3? Can someone please help me??
Click here to see answer by stanbon(75887) 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