Questions on Algebra: Quadratic Equation answered by real tutors!

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Question 125683: the widthof a piece is 4 metres less than is length. the air in the room is 165 m^2. find the length and breadth of this piece
Click here to see answer by checkley71(8403)

Question 125682: a number increased buy 3 time the square root is 28. what is this number
Click here to see answer by josmiceli(9668)

Question 125676: Use properties of exponents to simplify:
a)100^3/2
b)-9^1/2
c)3^1/2*27^1/2
d)((1/8)^-2)^1/3
e)((121^-1)^-1/2)/22)
Click here to see answer by stanbon(57290)

Question 125713: complete the square, and find the roots of the quadratic equation.
x2 - 2/3x = 0

Click here to see answer by MathLover1(6625)

Question 125675: Solve for the unknown variable:
a)sqrt9^x=27
b)8^(1/2x)=(2^7)*(4^9)
c)sqrt125^x=5/25^x Can someone PLEASE help me ???
Click here to see answer by solver91311(16877)

Question 125710: apply the quadratic formula to find the roots of the given function, and then graph the function.
f(x) = x2 + 4
g(x) = x2 + x + 12

Click here to see answer by checkley71(8403)

Question 125796:
solution of x²-5x+6=0 and 2x²-3x+1=0
Click here to see answer by Earlsdon(6287)

Question 125796:
solution of x²-5x+6=0 and 2x²-3x+1=0
Click here to see answer by checkley71(8403)

Question 125835: -54y to the fourth power + 24x Squared
How do i factor this as a difference of two squares?
Click here to see answer by checkley71(8403)

Question 125835: -54y to the fourth power + 24x Squared
How do i factor this as a difference of two squares?
Click here to see answer by Earlsdon(6287)

Question 125834: -54y to the fourth power + 24x Squared
How do i factor this as a difference of two squares?
Click here to see answer by checkley71(8403)

Question 125554: A designer attempts to arrange the characters of his artwork in the form of a square grid with equal numbers of rows and columns, but finds that 24 characters are left out. When he tries to add one more row and column, he finds that he has 25 too few characters. Find the number of characters used by the designer.
Click here to see answer by ankor@dixie-net.com(15646)

Question 125814: A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet?
Click here to see answer by checkley71(8403)

Question 125815: 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?
Click here to see answer by checkley71(8403)

Question 125617: how do you find the quadratic egaution of a quardratic parbolia? if the parbolia is grapghed for you and they just ask for the eguation.?
Click here to see answer by ankor@dixie-net.com(15646)

Question 125908: Solve by using the quadratic formula. x^2 + 5x – 14 = 0
Click here to see answer by jim_thompson5910(28536)

Question 125949: I need to solve this and I don't know why it is giving me a problem.
–9(x – 3)^2 = –7
Click here to see answer by Earlsdon(6287)

Question 125953: One team scored 4 runs less than the other team. The average of the squares of their scores was 53. What are their scores?
Click here to see answer by ankor@dixie-net.com(15646)

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(57290)

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(57290)

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(57290)

Question 126407: 56 bananas are what % of 80 bananas
p/100=a/b
Click here to see answer by josmiceli(9668)

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(6625)

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(57290)

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(8893)

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(57290)

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(15646)

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(6625)

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(15646)

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(15646)

Question 126670: the solution of
a.) 10x²+21-10=0
b.) 60y²+32y-15=0
c.) 3x²+32x-48=0
d.) 3x²+13x-10=0
e.) 2y²+5y-25=0
Click here to see answer by solver91311(16877)

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(57290)

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(148)

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)

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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