Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 132651: Given f(x)=3^x, which statement is true?
a) f(x+y)=f(x)+(y)
b) f(x+y)=f(x)f(y)
c) f(xy)=f(x)+f(y)
d) f(x/y)=f(x-y)

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Question 132657: What persent of 240 is 60?




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Question 132649: A hot cup of coffee is left outside where it cools exponentially. The temperature, T, of the coffee in degrees Celsius after t minutes is modeled by the function T=66(b)^(x/2)+17. The temperature of the coffee after 9 minutes is 56 degrees Celsius. What is the rate of cooling?
I think the answer is 3% every two minutes????

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Question 132620: Write as a single logarithm and simplify.
2/3logbase8 (64)-1/2logbase8 (16)+3logbase8 (4)

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Question 132614: The graph of the quadratic function has vertex (3,-2). If the zero of the graph is -7, then what is the other zero??????
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Question 132661: The length of rectangular mural is 2m greater than the width. The area is 20m squared. Find the dimensions of the mural.
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Question 132616: Solve for x:
2logbase4(2x)-logbase4(3x-5)=logbase3 (9)???

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Question 132646: Solve: logbase4(3x^2-2x)=logbase6 36 I think the answer is {8/3}????
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Question 132642:

x+y/7 for x=36 and y=13
x+y/7=
Help would this be 7?

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Question 132623: In 1990,Joshua's university tuition was $1500. In 1995, tuition at the same university cost $3200. Assuming that an exponential model applies, how much will tuition cost in 2009?
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Question 132621: A square lawn is surrounded by a walk one metre wide. If the area of the walk is equal to half the area of the lawn,what are the dimensions of the lawn???
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Question 132749: Which function has a domain {xsuch thatx is less than 2, x is R}?
a) -1/4(y-2)=(x+5)^2
b) y=3(4)(^-(x-2)) +2
c) y=log(4-2x)
d) y=log base1/2 (x-2)
I think the answer is (B)?????????

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Question 132752: What is the value of x for the logarithmic equation: logbase3(logbase2 x)=1???
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Question 132777: Two lines have slopes 2k-4 and k+6. What value(s) of k will produce perpendicular lines? I think the answer is k=-4+ or - sqrt62/2???
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Question 132775: Simplify : -2^0 + (16(^5/4))/(125^-2/3) I think the answer is 801 or 799??? Can someone please help me ??
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Question 132801:

9x-8=5x
Help me please.

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Question 132804:

Factor 7p + 5x =
Help me factor this please. Not good at all with these problems.

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Question 132795: why does the slope equal 0. 5p2+25p+3=0

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Question 132816: [3(4-9)-2]-[6-(4-3)]=
Can some body please help me with this problem. I do not understand at all.

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Question 132748: A motor boat travels 300km downstream and returns 300km upstream in a total of 12 hours. The speed of the current is 6km/h. Write the equation that could be used to determine the speed of the motorboat in still water? I think it is (300/x )+(300/x+6)=12 Can someone please confirm this for me ????
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Question 132822: Subtract the following
-6-(-4)
Would this be -10?

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Question 132822: Subtract the following
-6-(-4)
Would this be -10?

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Question 132818: Hello
I hope someone can help me. Here is the question: THe position of an object moving in a straight line is given by s= 2t^2 - 3t, where s is in meters and t is the time in seconds the object has been in motion. How long (to the nearest tenth) wiil it take the object to move 17 meters?
I am so lost! SO far what I have gotten from this is:
17= 2t^2 - 3t
2t^2 - 3t - 17= 0 But now what do I do? Please help-THank you!

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Question 132831: Rita rows 12 km upstream and 12 km downstream in 3 hours. The speed of her boat in still water is 9 km/hr. Find the speed of the stream
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Question 132817: Find the equivelent expression without perenthisis
-(a-68)=

HELP!!

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Question 132828: Some students planned for a get-together. The budget for food was $500. Five of the students failed to come because of the distance and therefore the cost of food for each member increased by $5. How many students attended the get-together?

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Question 132850: Rewrite the expression x^3-2x^2y+xy^2 so that it is easy to calculate the its value without a calculator when x=21 and y=19.
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Question 132853: What type of solution do you get for quadratic equations where D < 0? Give reasons for your answer. Also provide an example of such a quadratic equation and find the solution of the equation.

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Question 132847: 3. The speed of sound in air is 1100 feet per second. The speed of sound in steel is 16500 per second. Robin, one ear pressed against the railroad track, hears a sound through the rail six seconds before hearing the same sound through the air. To the nearest foot, how far away is the source of that sound?
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Question 132874: Solve : 3(2^(2x)) - 2^(x+2) +1=0
I am having real trouble with this one , I hope someone can help me:)

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Question 132826: A designer, attempting to arrange the characters of his artwork in the form of a square grid with equal number of rows and columns, found that 24 characters were left out. When he tried to add one more row and column, he found that he was short of 25 characters. Can you find the number of characters used by the designer?

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Question 132911: Please help me solve these equations: 9x%5E2-24x%2B16=0+.
x%5E2-3x=40+.

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Question 132906: While I can solve basic quadratic equations I am having problems figuring out how to solve the equations where you complete the square when ax^2+bx+c is equal to a number other than 0. For example:
-2.2x^2-7.4x+0.7=0.8

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Question 132889: Given a=x(^1/2)- 4x(^-1/2). What is the value of 1/a^-2??? I think the answer is x^2-8x+16/x , can someone please confirm ????
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Question 132946: Determine whether the following equations have a solution or not? Justify your answer.
(7)1/2y2 - 6y - 13(7)1/2 = 0 Please help with this difficult question.

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Question 132944: Solve the following Quadratic equation
4x+x(x-3)=5 Please help me figure this ine out.

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Question 132985: 5. Solve using the quadratic formula:
x^2 – 3x = 4x – 1

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Question 132984: 6. Solve using the quadratic formula:
x^2 – 5x – 1 = -7

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Question 132899: A group of people want to share equally the cost of a $200,000 airplane. They want to find 5 more people to join their club so that the cost per person decreases by $2000. How many people are currently in the club?
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Question 132877: In 1990, Michael's college tuition was $1500. In 1995, tuition at the same college cost $3200. Assuming that an exponential model applies, how much will tuition cost in 2009?? I think the answer is $6837 ????????
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Question 132849: Robin is mowing a rectangular field that measures 24 yards by 32 yards, by pushing the mower around and around the outside of the plot. This creates a widening border that surrounds the unmowed grass in the center. During a brief rest, Robin wonders whether the job is half done yet. How wide is the uniform mowed border when Robin is half done?
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Question 132848: Sam is a guest on the TV show Math Jeopardy, and has just chosen the $300 question in the category "Quadratic Equations." The answer is "The solutions are x=3 and x=-2." What question could Sam ask that would win the $300? Is there more than one possible correct question? Explain.
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Question 132996: In a right triangle, find the length of the side not given.
One side is a; one side = 2 and the other side is sqrt (13);
What is the length of side a;

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Question 133001: Write a quadratic equation in the variable "x" having the given numbers as solutions. Type the equation in standard, ax^2 + bx + c = 0.
Solution: 8, only solution
I am having trouble backing into the equation. Can someone help explain to me.
Thank you.

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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, 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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