Questions on Algebra: Equations answered by real tutors!

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Question 1126944: find all the zeroes of x�+(3-√2)x-3√2 if one of its zero is √2?

Click here to see answer by ikleyn(52776)

Question 1127031: Gravel is being dumped from a conveyor belt at a rate of 15 ft3/min, and its coarseness is such that it forms a pile in the shape of a cone whose base diameter and height are always equal. How fast is the height of the pile increasing when the pile is 5 ft high? (Round your answer to two decimal places.)
Click here to see answer by ikleyn(52776)

Question 1127071: factorize 4(x-2)^2+12(x-2)
Click here to see answer by math_helper(2461)

Question 1127074: solve.
5/3x-1/6= -1/2x+5/3

the answer i got was x=1 ???

Click here to see answer by MathLover1(20849)

Question 1127074: solve.
5/3x-1/6= -1/2x+5/3

the answer i got was x=1 ???

Click here to see answer by math_helper(2461)

Question 1127032: Water is leaking out of an inverted conical tank at a rate of 10,500 cm3/min at the same time that water is being pumped into the tank at a constant rate. The tank has height 6 m and the diameter at the top is 4 m. If the water level is rising at a rate of 20 cm/min when the height of the water is 2 m, find the rate at which water is being pumped into the tank. (Round your answer to the nearest integer.)
Click here to see answer by ikleyn(52776)

Question 1127033: Two sides of a triangle have lengths 13 m and 19 m. The angle between them is increasing at a rate of 2�/min. How fast is the length of the third side increasing when the angle between the sides of fixed length is 60�? (Round your answer to three decimal places.)
Click here to see answer by greenestamps(13198)

Question 1127098: Bryan Clark makes $10 an hour cutting grass and $12 an hour raking leaves. He cannot work more than 15 hours per week. Graph two inequalities that Bryan can use to determine how many hours he needs to work at each job if he wants to earn at least $120 per week.
Click here to see answer by addingup(3677)

Question 1127119: Solve t^(2/3)+t^(1/3)-6=0
Click here to see answer by josgarithmetic(39616)

Question 1127093: simplify.
1/2x+5-(5/2x-6)
Click here to see answer by mhusband(3)

Question 1127120: Solve t^(2/3)+t^(1/3)-6=0
Click here to see answer by MathLover1(20849)

Question 1127134: Solve for x by factoring. Show all real solutions.

Click here to see answer by mhusband(3)

Question 1127134: Solve for x by factoring. Show all real solutions.

Click here to see answer by josgarithmetic(39616)

Question 1127134: Solve for x by factoring. Show all real solutions.

Click here to see answer by ikleyn(52776)

Question 1127134: Solve for x by factoring. Show all real solutions.

Click here to see answer by greenestamps(13198)

Question 1127030: A trough is 8 ft long and its ends have the shape of isosceles triangles that are 5 ft across at the top and have a height of 1 ft. If the trough is being filled with water at a rate of 13 ft3/min, how fast is the water level rising when the water is 8 inches deep?
Click here to see answer by greenestamps(13198)

Question 1127154: Hi,
Please help me solve this equation involving negative rational exponents: .
Here are the steps I took to try to solve the problem:
First, I used the substitution method using "u" and tried completing the square and got .
Then, I used the quadratic equation and got 1/ 2 plus or minus 3i sqrt( 3 ) / 2.
Last I tried solving for x^-1/2 to get the final answer, but I cannot yield the books' answer: 3 / 2 plus or minus 3i sqrt( 3 ) / 2.
Can you please help me know where I am going wrong? Thank you.
Click here to see answer by ikleyn(52776)

Question 1127166: If 8 = b^-2, what is the value of b?
Click here to see answer by Theo(13342)

Question 1127192: Given: -2x + 3y = 18.
When x has a value of zero, what is the value of y? When y has a value of zero, what is the value of x? What are these solutions called when they are graphed as part of the line -2x + 3y = 18.
Include your work.

Click here to see answer by MathLover1(20849)

Question 1127191: What is the equation of the line, in standard form, that passes through (4, -3) and is parallel to the line whose equation is 4x + y - 2 = 0?
A) 4x - y = 13
B) 4x + y = 13
C) 4x + y = -13
Click here to see answer by MathLover1(20849)

Question 1127171: Determine the equation of
a curve whose coordinates always multiply to give 14
a circle, centre origin and diameter 9
Click here to see answer by Boreal(15235)

Question 1127165: Solve for x/theta
a) 12 sin^2(theta) - 7sin(theta) + 1 =0
b) 1/x = 1/a +1/b
c) (x^2) - 3/x^2 = 2
Click here to see answer by Boreal(15235)

Question 1127220: Leonard wants to save $100 in the next 2 months. He knows that in the second month he will be able to save $20 more than during the first month. How much should he save each month?
Click here to see answer by Alan3354(69443)

Question 1127238: 14.50=(x*0.45)+(28*0.16)+3.00
Click here to see answer by MathLover1(20849)

Question 1127242: 15= (2*0.45)+(x*0.16)+3.00
Click here to see answer by stanbon(75887)

Question 1127255: x^2+4x+8=0
what is the discriminant b^2 - 4ac?
Click here to see answer by josgarithmetic(39616)

Question 1127256: f(c)=c^2+9c+20
find the zeros of the function
Click here to see answer by josgarithmetic(39616)

Question 1127250: A)A highway patrolman traveling at the speed limit is passed by a car going 20 mph faster than the speed limit. After one minute, the patrolman speeds up to 115 mph. How long after speeding up until the patrolman catches up with the speeding car. The speed limit is 55 mph.
B)Same question, but this time the patrolman speeds up to a speed of v mph (v>75).
Click here to see answer by KMST(5328)

Question 1127315: 1. Factor the expression using the two different techniques listed for Parts 1(a) and 1(b).
(a) Factor the given expression using the GCF monomial.
(b) Factor the given expression using the difference of squares.

Click here to see answer by greenestamps(13198)

Question 1127029: A plane flies horizontally at an altitude of 3 km and passes directly over a tracking telescope on the ground. When the angle of elevation is π/4, this angle is decreasing at a rate of π/4 rad/min. How fast is the plane traveling at that time?
Click here to see answer by greenestamps(13198)

Question 935468:
What does y equal to in the equation 42y+5=17

Click here to see answer by scampbell9972(1)

Question 1127438: 3-5-156=0
Click here to see answer by 4198181(13)

Question 1127460: If f(x) = x^2 − 4x − 17and f(c) = 4,find c. (Enter your answers as a comma-separated list.)
Click here to see answer by FrankM(1040)

Question 1127460: If f(x) = x^2 − 4x − 17and f(c) = 4,find c. (Enter your answers as a comma-separated list.)
Click here to see answer by josgarithmetic(39616)

Question 1127468: Given g(x) = 9x2 + 4,find the following.
g(3) =
g(-1)=
g(0)=
g(1/2)=
g(c) =
g(c+5) =
Click here to see answer by MathLover1(20849)

Question 1127469: If √x+√y=√45 and x and y are positive integers, then what is the value of √x+y?
Click here to see answer by MathLover1(20849)

Question 1127469: If √x+√y=√45 and x and y are positive integers, then what is the value of √x+y?
Click here to see answer by ikleyn(52776)

Question 1127545: 3. Solve the system of equations. Show your work.

y= x^2-3x+4
x+4=4
Click here to see answer by ikleyn(52776)

Question 1127545: 3. Solve the system of equations. Show your work.

y= x^2-3x+4
x+4=4
Click here to see answer by MathLover1(20849)

Question 1127544: 2. In 2010, the population of a town is 8500. The population decreases by 4.5% each year.
(a) Write an equation to find the population of the town t years after 2010.
(b) In what year will the population of the town be 7000? Show your work.

Click here to see answer by greenestamps(13198)

Question 1127543: 1. A statue creates a shadow that is 30 ft long. The angle of elevation of the sun is 50�.
(a) Draw a diagram that represents this situation.
(b) How tall is the statue? Round your answer to the nearest tenth of a foot. Show your work.

Click here to see answer by josgarithmetic(39616)

Question 1127609: Find x so that (x, -16) is a solution to 2x+3y=12
A. x=60
B. x=-36
C. x=-18
D. x=30
Click here to see answer by josgarithmetic(39616)

Question 1127406: Solve log(logx) + log(logx⁴-3) = 0
Click here to see answer by Alan3354(69443)

Question 1127662: Explain why 3x-y is the same as -y+3x
Click here to see answer by math_helper(2461)

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, 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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, 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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, 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33526..33570, 33571..33615, 33616..33660, 33661..33705, 33706..33750, 33751..33795, 33796..33840, 33841..33885, 33886..33930, 33931..33975, 33976..34020, 34021..34065, 34066..34110, 34111..34155, 34156..34200, 34201..34245, 34246..34290, 34291..34335, 34336..34380, 34381..34425, 34426..34470, 34471..34515, 34516..34560, 34561..34605, 34606..34650, 34651..34695, 34696..34740, 34741..34785, 34786..34830, 34831..34875, 34876..34920, 34921..34965, 34966..35010, 35011..35055, 35056..35100, 35101..35145, 35146..35190, 35191..35235, 35236..35280, 35281..35325, 35326..35370, 35371..35415, 35416..35460, 35461..35505, 35506..35550, 35551..35595, 35596..35640, 35641..35685, 35686..35730, 35731..35775, 35776..35820, 35821..35865, 35866..35910, 35911..35955, 35956..36000, 36001..36045, 36046..36090, 36091..36135, 36136..36180, 36181..36225, 36226..36270, 36271..36315, 36316..36360, 36361..36405, 36406..36450, 36451..36495, 36496..36540, 36541..36585, 36586..36630, 36631..36675, 36676..36720, 36721..36765, 36766..36810, 36811..36855, 36856..36900, 36901..36945, 36946..36990, 36991..37035, 37036..37080, 37081..37125, 37126..37170, 37171..37215, 37216..37260, 37261..37305, 37306..37350, 37351..37395, 37396..37440, 37441..37485, 37486..37530, 37531..37575, 37576..37620, 37621..37665, 37666..37710, 37711..37755, 37756..37800, 37801..37845, 37846..37890, 37891..37935, 37936..37980, 37981..38025, 38026..38070, 38071..38115, 38116..38160, 38161..38205, 38206..38250, 38251..38295, 38296..38340, 38341..38385, 38386..38430, 38431..38475, 38476..38520, 38521..38565, 38566..38610, 38611..38655, 38656..38700, 38701..38745, 38746..38790, 38791..38835, 38836..38880, 38881..38925, 38926..38970, 38971..39015, 39016..39060, 39061..39105, 39106..39150, 39151..39195, 39196..39240, 39241..39285, 39286..39330, 39331..39375, 39376..39420, 39421..39465, 39466..39510, 39511..39555, 39556..39600, 39601..39645, 39646..39690, 39691..39735, 39736..39780, 39781..39825, 39826..39870, 39871..39915, 39916..39960, 39961..40005, 40006..40050, 40051..40095, 40096..40140, 40141..40185, 40186..40230, 40231..40275, 40276..40320, 40321..40365, 40366..40410, 40411..40455, 40456..40500, 40501..40545, 40546..40590, 40591..40635, 40636..40680, 40681..40725, 40726..40770, 40771..40815, 40816..40860, 40861..40905, 40906..40950, 40951..40995, 40996..41040, 41041..41085, 41086..41130, 41131..41175, 41176..41220, 41221..41265, 41266..41310, 41311..41355, 41356..41400, 41401..41445, 41446..41490, 41491..41535, 41536..41580