Questions on Algebra: Radicals -- complicated equations involving roots answered by real tutors!

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Question 1127145: The graph to the right shows the projected elderly population of a country for ages​ 65-84 and for ages 85 and older. The function f(x) = 5 √x + 34.8 models the projected number of citizens ages​ 65-84, f (x), in​ millions, x years after 2010. Complete parts​ (a) and ​(b).

Use the function to find f(40)-f(0). Express this difference in simplified radical form. What does this simplified radical​ represent?

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Question 1127573: Simplify 5 square root of 2 divided 2-i by rationalizing the denominator
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Question 1127582: Which expression has the same value as 25^1/2?
A. 125^2/3
B. -5
C. 25^ 1/3
D. sqrt(-5)^2

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Question 1127581: Which of these radical expressions simplifies to x?
A. (sqrtx)^2
B. sqrtx/x
C. sqrtx^2
D. sqrt-x

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Question 1127581: Which of these radical expressions simplifies to x?
A. (sqrtx)^2
B. sqrtx/x
C. sqrtx^2
D. sqrt-x

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Question 1127580: Which of theses expressions simplifies to square root of 3(|x|-5x^2)/3?
A. sqrtx^3-5sqrtx^5/sqrt3x
B. sqrtx^2(x-5)/3sqrtx
C. sqrt3(|x|-5x^2)/3
D. sqrtx^2(1-5x)/3sqrtx

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Question 1127584: Simplify 2sqrt2(-sqrt8+2sqrt6)
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Question 1127584: Simplify 2sqrt2(-sqrt8+2sqrt6)
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Question 1127838: When solving the system of equations 6x+2y=-1 and -x+10y=5 by Cramer's Rule, what are the values of D, Dx, and Dy
A. D=58, Dx=20, Dy=-28
B. D=62, Dx=20, Dy=28
C. D=58, Dx=-20, Dy=-29
D. D=62, Dx--20, Dy=29

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Question 1127838: When solving the system of equations 6x+2y=-1 and -x+10y=5 by Cramer's Rule, what are the values of D, Dx, and Dy
A. D=58, Dx=20, Dy=-28
B. D=62, Dx=20, Dy=28
C. D=58, Dx=-20, Dy=-29
D. D=62, Dx--20, Dy=29

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Question 1127836: Solve the of equation 2x-y+z=-7, x-3y+4z=-19, and -x+4y-3z=18.
A. There is one solution (-1,2,-3)
B. There is one solution (1,-2,3)
C. There is one solution (-1,-2,-3)
D. There is one solution (1,2,3)

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Question 1127836: Solve the of equation 2x-y+z=-7, x-3y+4z=-19, and -x+4y-3z=18.
A. There is one solution (-1,2,-3)
B. There is one solution (1,-2,3)
C. There is one solution (-1,-2,-3)
D. There is one solution (1,2,3)

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Question 1127875: For the following exercise, determine the function described and then use it to answer the question.
The surface area, A, of a cylinder in terms of its radius, r, and height, h, is given by A = 2πr^2 + 2πrh. If the height of the cylinder is 4 feet, express the radius as a function of V and find the radius if the surface area is 360ft.

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Question 1128130: Use a calculator to graph the function. Then, using the graph, give three points on the graph of the inverse with the y-coordinates given.
f(x) = x^4 + 6x + 4, −1 ≤ x ≤ 1, y = −1,1
Y= -1 (X, Y)=
Y= 1 (X, Y)=

* I understand that the inverses are the original points reversed, so to solve the problem I would simply need to plug in each point given into the equation, above, arrive at the answer, and reverse the points in order to transform it into an inverse function. However, I’m not sure how −1 ≤ x ≤ 1 factors into the solution.

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Question 1128328: Given the statement sqrt of 4x^2-4x+1 = 2x - 1 (x is an integer), the average of the 4 largest integer values of 2x-1 for which this equality is not true is
A)-1 1/2 B)-2 C)-4 D)-3 E)-6

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Question 1128840: The sum of cube root 6a^4b^2 and cube root 162a^4b^2, expressed in simplest radical form, is
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Question 1129093: Hello hope you are having a good day
I am doing simplifying radicles in school and am have trouble with the following question
( radical sign ) 384 x to the power of 4 y cube

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Question 1129207: Prove that no rational number is equal to √p, where p is a prime number, using proof by contradiction.
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Question 1129694: 31/4=8-(-8-m)^-1/2
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Question 1129822: Sophia earned $52 at her job when she worked for 2 hours. What was her hourly pay rate in hours per dollar? Express your answer in simplest form.
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Question 1129822: Sophia earned $52 at her job when she worked for 2 hours. What was her hourly pay rate in hours per dollar? Express your answer in simplest form.
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Question 1129822: Sophia earned $52 at her job when she worked for 2 hours. What was her hourly pay rate in hours per dollar? Express your answer in simplest form.
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Question 1130134: 42divided by 5085
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Question 1130704: Using proof by contradiction, prove that 7√2 is irrational.
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Question 1130742: Perform the indicated operations and simplify the result.
2√45-3√2-4√125

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Question 1130741: use the radical notation to rewrite the expression. Simplify if possible
(49)^(3/2)+(-125)^(2/3)

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Question 1130740: show work and simplify the radical expression.
∛(-216x^10 y^21 )

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Question 1130740: show work and simplify the radical expression.
∛(-216x^10 y^21 )

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Question 1130745: show all work as you simplify the radical expression.
∜(256x^4 y^12 z^20 )

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Question 1130746: Perform the indicated operations and simplify the result.
(4√7-5)(-5√7+5)

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Question 1130994: Rationalize the denominator of (2\root( )(3) -\root( )(7))/(3\sqrt( 3)+\sqrt(7))
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Question 1130995: Rationalize the denominator of (2\root( )(3) -\root( )(7))/(3\sqrt( 3)+\sqrt(7))

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Question 1131171: The maximum distance D(h) in kilometers that a person can see from a height h kilometers above the ground is given by the function D(h)=111.7 times square root of h. Find the height that would allow a person to see 60 kilometers.
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Question 1131444: Solve The Equations and Check:
a)\sqrt(q+2)=7
b)\sqrt(5x-1)+3=0

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Question 1131443: Solve For X:
\sqrt(5-x)=x+1

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Question 1131442: Solve The Equation & Check:
a)\sqrt(q+2)=7
b)\sqrt(5-x)=x+1

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Question 1131442: Solve The Equation & Check:
a)\sqrt(q+2)=7
b)\sqrt(5-x)=x+1

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Question 1131440: Subtract: 5√32-6√8
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Question 1131441: Simplify (Rationalize The Denominator)
a)(1)/(\sqrt(5))
b)(5)/(2+\sqrt(3))

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Question 1131439: Simplify
a) √(32k^(7)q^(8))
b)³√(-64a^(8))

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Question 1131612: √5x+1 +√x+1 =√10x+6
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Question 1131612: √5x+1 +√x+1 =√10x+6
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Question 1131662: Search results - Virgin Mobile Canada

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Question 1132068:
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Question 1132146: Factor completely: x%5E2+%2B+2mn+-+m%5E2+-+n%5E2
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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