Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 126782: 9 2/3 = a+19
Click here to see answer by stanbon(57412)

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(28598)

Question 126906: What is a vertical shift of a graph?
Click here to see answer by stanbon(57412)

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(13828)

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(6645)

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(57412)

Question 127083: Simplify:
((9x(^1/2))-x(^1/2))^2
Click here to see answer by josmiceli(9697)

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(15661)

Question 127085: Solve for x:
96(8(^x/2))=6
Click here to see answer by Fombitz(13828)

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(57412)

Question 127202: Solve:
((4^(1/3))/2)=2sqrt2
Click here to see answer by stanbon(57412)

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(57412)

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(15661)

Question 127199: Solve:
4^(x^2-x)(128^x)=8^3/(1/8) Note:The 1/8 is the denominator of 8^3.
Click here to see answer by bucky(2189)

Question 127244: Please help me solve this equation.
In the equation 5x+y=-1,What does m equal?
Click here to see answer by MathLover1(6645)

Question 127243: Please help me solve this equation.
In the equation 5x+y=-1,What does m equal?
Click here to see answer by MathLover1(6645)

Question 127308: The sum of a number, five-fourths of the number, and a third of the number is one hundred fifty-five. Find the number.
Here's what I have
x + x + 5/4 + x + 1/3 + x =155
4x + 5/4 + 1/3 =155
5/4 + 1/3= 1 7/12
4x = 1 7/12
?????
Click here to see answer by jim_thompson5910(28598)

Question 127313: The length of a rectangle is 50ft. The perimeter of the rectangle is 275ft more than the width of the rectangle. Find the width.
Here's what I have
2(50)+2w = 275-w
100+2w = 275-w
+w +w
100+3w = 275
-100 -100
3w - 175
3w/3 175/3
w=58.3333...
Click here to see answer by checkley71(8403)

Question 127319: the graph of f(x) = -5 falls in which quadrants?
Click here to see answer by josmiceli(9697)

Question 127315: Miranda is making a bow for a Christmas wreath. The bow is made from six yards of ribbon which must be cut into three pieces where two pieces are the same length and the third piece is eight times as long. Find the length of each piece.
I don't know where to even begin....HELP!!
Click here to see answer by ankor@dixie-net.com(15661)

Question 127325: A sphere has a diameter 12m. Find its volume using pi = 3.14 as an approximation.
Click here to see answer by checkley71(8403)

Question 127362: Frida is five years older than Fredelyn. In three years the product of her age and Fredelyn's age five years ago will be 9o years. zFind their present ages.
Click here to see answer by solver91311(16897)

Question 127306: A desk top has the shape of a trapezoid. The two parallel sides have lengths 2m and 2.8 m, and the distance between the sides is 1.5m. To protect the wood surface, a blotter will be made, at a cost of $25 per square meter, to cover the entire desk top. Find the total cost of the blotter.
Click here to see answer by edjones(7569)

Question 127474: What is the value of logbase2 (1/sqrt32?
Click here to see answer by josmiceli(9697)

Question 127474: What is the value of logbase2 (1/sqrt32?
Click here to see answer by bucky(2189)

Question 127473: Write an equation that best models the datd:
x- -2,0,2,4
y- 3.5,7,14,28

Click here to see answer by checkley71(8403)

Question 127464: What is the y-intercept of 4(y-1)=2(^2(x+1) Note: the 2(x+1) is the exponent .
Click here to see answer by scott8148(6628)

Question 127471: Two die- cast metal car models were purchased at the same time. The first cost $99.50 and appreciated by 10% yearly. The second cost $49.50 and appreciated 16% yearly. Algebraically determine how many years will it take for the two models to be of equal value.
Click here to see answer by ankor@dixie-net.com(15661)

Question 127467: Mary wants her $9000 GIC to double in value in nine years. What annual rate of interest is required for her to reach her goal. Assume interest is compounded annually.
Click here to see answer by ankor@dixie-net.com(15661)

Question 127472: What is the inverse of the function y=logbase2 x ?
Click here to see answer by josmiceli(9697)

Question 127475: What is the range of the function : -2(y-4)=5(^x+2) ? I think it is y such that y is greater than 4.
Click here to see answer by josmiceli(9697)

Question 127519: Find the constant term to make x^2-4x a perfect square trinomial

Click here to see answer by bucky(2189)

Question 127530: please solve these two numbers by factoring completely:
1. 9 - (2a + b)^4
2. 32a^4b - 162b^5
Click here to see answer by edjones(7569)

Question 127617: The publisher of a magazine that has a circulation of 80,000 and sells for 1.60$ a copy decides to raise the price of the magazine because of costs. By surveying the readers, he finds that he will lose 10,000 readers for each .40 $ increase. What price per copy maximizes growth?
TYVM for ANY answers =D
Click here to see answer by ankor@dixie-net.com(15661)

Question 127679: Solve for x:
a) (log base2 x)^2-(logbase2 x^2)=0
b) log base2(logbasex 64)=1
c) log base5(5x+2)=1/2 logbase5 49+logbase5 16
Click here to see answer by stanbon(57412)

Question 127692: Solve for x:
a) log base4 (x+2) + log base4 (n-4)=2
b) log base2 (x^2-2) - log base2 (1/2x+5)=1 Can someone please help me with these and show me how to check my answers ??????
Click here to see answer by stanbon(57412)

Question 127760: Simplify the logarithmetic expression log 1000 - log(10^-1) + logsqrt10.
Click here to see answer by stanbon(57412)

Question 127759: Solve:
a) t=5*logbase4 16
b) t=4*logbase1/3 3sqrt243

Click here to see answer by stanbon(57412)

Question 127753: A certain radioactive element decays exponentially with a half-life of 5 hours. Find the time that has elapsed if a 50mg sample has decayed to 17 mg.
Click here to see answer by stanbon(57412)

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