Questions on Algebra: Quadratic Equation answered by real tutors!

Tutors Answer Your Questions about Quadratic Equations (FREE)

Question 126054: Write as a single logarithm and simplify:
a) logbase2 48 - logbase2 3
b) 1/2logbase9 36 - logbase9 2

Click here to see answer by stanbon(75887)

Question 126105: The formula for describing the amount of radioactive Plutonium-35 is A=Ao(1/2)(^t/4370),where A is the remaining amount of Plutonium-35 and t is the time given in years.
a) When will the remaining Plutonium-35 be 1/8 of the original amount?
b) When will the remaining Plutonium-35 be 1/sqrt2 of the original amount?
c) When will the remaining Plutonium-35 be 1/sqrt32 of the original amount?
I am not sure if I have typed the Formala A=Ao(1/2)^t/4370 correctly. I don't know if I should say A= Abase0(1/2)(^t/4370).Can someone clarify this for me?
Click here to see answer by stanbon(75887)

Question 126041: Simplify the logarithmetic expression:
log1000-log(10^-1)+logsqrt10.
Click here to see answer by scott8148(6628)

Question 126098: Find the value of n for which (8(^n+1))(2(^2n-1))(4(^n+1))/16^n=32.
Click here to see answer by scott8148(6628)

Question 126235: 3x^2+12x+5=p(x+q)^2+r
find values for p,q and r
I appreciate any form of help you can give me.
Click here to see answer by uma(370)

Question 126193: x^2=-121
Click here to see answer by checkley71(8403)

Question 126251:
express x^2 + 6x + 1 in the form (x+a)^2 + b
Click here to see answer by checkley71(8403)

Question 126390: What is the common point on the graphs of y=(3/4)^x and y=(4/3)^x?
Click here to see answer by stanbon(75887)

Question 126407: 56 bananas are what % of 80 bananas
p/100=a/b
Click here to see answer by josmiceli(19441)

Question 126457: (x+1)(x+2)(x+3)(x+4) = 120
Click here to see answer by bucky(2189)

Question 126385: A table of values for the exponential function y=(1/2)^x has an x-increment of one. If the x-values are changed so that they increase by three rather than one, what is the ratio of the successive y-values? I think it will be 1/8 but I'm not sure.
Click here to see answer by bucky(2189)

Question 126466: Simplify:A) (9x(^-1/2)-x(^1/2))^2
B) x(^-2)y(3(x^-1)y^3)^4

Click here to see answer by MathLover1(20849)

Question 126474: On January 1, Adam borrowed $20 from his brother, Gerry, and promised to repay the loan on February 18th. If Gerry charged 2% interest, compounded daily, from January 1 to February 18th inclusive, how much did Adam pay him back?
Click here to see answer by bucky(2189)

Question 126473: The quadratic function y=a(x-h)^2+k,a is less than 0,is translated nine units down. What is the range of the function? I think it is (y such that y is less than or equal to k-9,y belongs to a set of real numbers)
Click here to see answer by stanbon(75887)

Question 126471: The graph of y=4^x is transformed and the new focal point is (16,7).What is the new function?
Click here to see answer by Edwin McCravy(20054)

Question 126468: A piece of sculpture is purchased for $3000 in 1960. In 2008,the sculpture is valued at $186000. What is the average annual rate of appreciation of the sculpture?
Click here to see answer by checkley71(8403)

Question 126465: A conservation organization releases 100 animals of an endangered species into a game preserve. The growth of the herd will be modeled by P(t)=1000/19(2.7^-0.1656t),where P is the population of the herd t months after releasing the animals. How many animals are in the herd after one year?
Click here to see answer by stanbon(75887)

Question 126381: At the beginning of a study, there are 50 grams of a substance present. After 17 days, there are 38.7 grams remaining. What is the rate of decay? How much of the substance will be present after 40 days? Assume the substance decays exponentially. Please help me.
Click here to see answer by ankor@dixie-net.com(22740)

Question 126472: One root of the function y=x^2-10x+k is 5+2isqrt3. What is the value of k?
Click here to see answer by MathLover1(20849)

Question 126382: Solve:(A) (1/27)sqrt3^x=81(^x-1)/9
(B) (cubedsqrt4/2)^6x=2sqrt2
I am worried that I have not typed (B) correctly but if someone could even help me with(A) I would appreciate it .
Click here to see answer by ankor@dixie-net.com(22740)

Question 126383: A conservation organization releases 100 animals of an endangered species into a game preserve. The growth of the herd will be modeled by P(t)=1000/19(2.7^-0.1656t), where P is the population of the herd t months after releasing the animals. How many animals are in the herd after one year? Can someone please help me?
Click here to see answer by ankor@dixie-net.com(22740)

Question 126670: the solution of
a.) 10x�+21-10=0
b.) 60y�+32y-15=0
c.) 3x�+32x-48=0
d.) 3x�+13x-10=0
e.) 2y�+5y-25=0
Click here to see answer by solver91311(24713)

Question 126694: Which situation would produce an exponential graph?
a) The earning of compound interest on a term deposit.
b) The ebb and flow of tides in the Bay of Fundy.
c) The motion of a Ferris Wheel.
d) The path of flight of a launched missile.
Click here to see answer by stanbon(75887)

Question 126689: A cup of tea cools exponentially according to the function T(x)=60(0.79)(^x/3)+30,where T is the temperature in degrees celcius and x is time in minutes. What was the initial temperature of the tea? I think it is 90 degrees celcius. Can someone kindly confirm ???
Click here to see answer by kev82(151)

Question 126695: If f(x)= 3(1/125)(^x-2)+12,then what is the value of x when f(x)=87?
Click here to see answer by bucky(2189)

Question 126782: 9 2/3 = a+19
Click here to see answer by stanbon(75887)

Question 126876: Hello I was wondering if you would be able to assist me please, as I am stuck on some problems which I have no idea how to start. An example is as follows and
I am asked to factorize the following 27X^3 + 8Y^3
Any help would be greatly appreciated. Cheers D.
Click here to see answer by jim_thompson5910(35256)

Question 126906: What is a vertical shift of a graph?
Click here to see answer by stanbon(75887)

Question 126900: A charity collected $2,040 in equal donations from their members to share the cost of a new building. If there were sixty-nine more members, then each member could contribute $23 less. How many members does this charity have?
Click here to see answer by bucky(2189)

Question 126901: Thomas drove 60 kilometers at a constant rate of speed. If he had driven 40 kph faster, he would have traveled the same distance for 24 minutes less. How fast did he drive?
Click here to see answer by checkley71(8403)

Question 126919: Can someone please show me ALL the steps to do this????
Find the zero(s) of the function y=3(^-2(x-4)-sqrt27 without using technology.
Just to be clear, the exponent next to the three is -2(x-4).
I know the answer is x=13/4 but I don't understand completely and I would appreciate any help I can get :)
Click here to see answer by Fombitz(32388)

Question 126928:
joe can paint a room in 6 hours less than billy. if they can paint the room in 4 hours working together, how long would it take each to paint the room working alone?
can you please solve this using the quadratic equations?? thanks!!
Click here to see answer by checkley71(8403)

Question 126944: Please help me solve this equation.
Graph f(x)=log3x. (the 3 is small at the end below the g)
Thank you!
Click here to see answer by MathLover1(20849)

Question 126911: Which expression is equivalent to (27(^-2x))((25^x)^4)((3^6x)^1/2) /9^x((625(^x-1)^-2)) ?
a) 3(^-5x)*5(^16x-8)
b) 3(^-5x)*5(^16x+8)
c) 3^-x*5^-8
d) 3^-x*5^8 ???
Click here to see answer by CHFS22144(5)

Question 127052: I typed my problem incorrectly
It is
3x squared +x-5
Click here to see answer by checkley71(8403)

Question 127088: The graph of y=4^x is transformed and the new focal point is (16,7). What is the new function ? Can someone please explain to me how this is done ???
Click here to see answer by stanbon(75887)

Question 127083: Simplify:
((9x(^1/2))-x(^1/2))^2
Click here to see answer by josmiceli(19441)

Question 126899: Daniel and Jonathan drove separately to a park that is 12 kilometers away. Daniel left at 9:41 a.m. and arrived at 10:29 a.m. Jonathan left at 10:35 a.m. and arrived at 10:50 a.m. Jonathan drove his car at a rate that averaged 33 kph faster than Daniel. What were Daniel's and Jonathan's speeds?
Click here to see answer by ankor@dixie-net.com(22740)

Question 127085: Solve for x:
96(8(^x/2))=6
Click here to see answer by Fombitz(32388)

Question 127201: At the beginning of a study , there are 50 grams of a substance present. After 17 days there are 38.7 grams remaining. What is the rate of decay ???? How much of the substance will be present after 40 days???? Assume the substance decays exponentially.
Click here to see answer by stanbon(75887)

Question 127202: Solve:
((4^(1/3))/2)=2sqrt2
Click here to see answer by stanbon(75887)

Question 127200: One root of the function y=x^2-10x+k is 5+2isqrt3. What is the value of k????
Click here to see answer by stanbon(75887)

Question 126925: a man purchased a number of balloons, each of the same price, for a total of $720. he sold them all at $40 each, thus realizing a profit equal to his 8 balloons. how many did he buy?
can you solve this using the quadratic equation??? thanks!!
Click here to see answer by ankor@dixie-net.com(22740)

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