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

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Question 1038526:  A penny is 1.55 mm thick. About how many pennies can you stack on top of each other in  order to get one meter? Round to the nearest hundredth.(Hint: There are 1000 mm in a  meter)
Click here to see answer by Alan3354(69443) About Me 

Question 1038539: Describe two real life situations that could be represented by the graph below http://prntscr.com/bhzfg4
Click here to see answer by JulietG(1812) About Me 

Question 1038537: Solve http://prntscr.com/bhzilv Justify each step in your solution
Click here to see answer by Othel(27) About Me 
Question 1038537: Solve http://prntscr.com/bhzilv Justify each step in your solution
Click here to see answer by josgarithmetic(39616) About Me 
Question 1038537: Solve http://prntscr.com/bhzilv Justify each step in your solution
Click here to see answer by jim_thompson5910(35256) About Me 
Question 1038537: Solve http://prntscr.com/bhzilv Justify each step in your solution
Click here to see answer by MathTherapy(10551) About Me 

Question 1038727: Solve
sqrt(x+5)+sqrt(x+10)>=2

Click here to see answer by stanbon(75887) About Me 
Question 1038727: Solve
sqrt(x+5)+sqrt(x+10)>=2

Click here to see answer by ikleyn(52776) About Me 

Question 1038908: please help me in solving this THANK YOU :)
given: Let f(x)= square root of x And g(x)= square root 2-x
Find:
1. (f+g) (x)
2. (f.g) (x)

Click here to see answer by Fombitz(32388) About Me 

Question 1039244: √20a^3b^2
Square root of 20a^3b^2

Click here to see answer by ankor@dixie-net.com(22740) About Me 

Question 1039243: √4y^2
Square root of 4y^2

Click here to see answer by jorel555(1290) About Me 

Question 1039483: Show all steps and solve: 5\sqrt{x+2}=12
Click here to see answer by Aldorozos(172) About Me 
Question 1039483: Show all steps and solve: 5\sqrt{x+2}=12
Click here to see answer by MathTherapy(10551) About Me 

Question 1039638: Hi there, I'm having difficulty with this problem and could really use your help!
verify the given formula by showing the left hand side of the equation simplifies to the right hand side of the equation.
Difference of Cubes: (a - b)(a^2 + ab + b^2) = a^3 - b^3
I'm not sure where to begin here. I would really appreciate your guidance. Thank you!

Click here to see answer by Alan3354(69443) About Me 

Question 1038673: describe the discontinuities of f(x)=x^2+x-6/x^2-5x+6
find an equivalent form for f that shows how the graph of f is related to the graph of y= 1/x
describe the relationship
(no graph needed)

Click here to see answer by robertb(5830) About Me 

Question 1039852: I need your help on this problem please!
Solve the equation. Check all proposed solutions. Show work in solving and in checking, and state your final conclusion.

√(15-2x)=6-x
I don't know where to begin, thank you very much for any help!

Click here to see answer by Fombitz(32388) About Me 

Question 1039862: I could really use some help on this quadratic, I'm lost! :
QUADRATIC REGRESSION
Data: On a particular spring day, the outdoor temperature was recorded at 8 times of the day. The parabola of best fit was determined using the data.
Quadratic Polynomial of Best Fit:
y = -.2t^2 + 6.3t + 42.9 for 0 less than or equal to t less than or equal to 24 where t = time of day (in hours) and y = temperature (in degrees)
REMARKS: The times are the hours since midnight.
For instance, t = 6 means 6 am. t = 22 means 10 pm.
t = 18.25 hours means 6:15 pm
(a) Use the quadratic polynomial to estimate the outdoor temperature at 6:30 am, to the nearest tenth of a degree.


(b) Using algebraic techniques we have learned, find the maximum temperature predicted by the quadratic model and find the time when it occurred. Report the time to the nearest quarter hour (i.e., __:00 or __:15 or __:30 or __:45). (For instance, a time of 18.25 hours is reported as 6:15 pm.) Report the maximum temperature to the nearest tenth of a degree. Show algebraic work.


(c) Use the quadratic polynomial y = -0.2t^2 + 6.3t + 42.9 together with algebra to estimate the time(s) of day when the outdoor temperature y was 82 degrees.
That is, solve the quadratic equation 82 = -0.2t^2 + 6.3t + 42.9.
Show algebraic work in solving. Round the results to the nearest tenth. Write a concluding sentence to report the time(s) to the nearest quarter-hour, in the usual time notation. (Use more paper if needed)

I really appreciate any help that can be offered! Thank you so much!
















Click here to see answer by josgarithmetic(39616) About Me 

Question 1039915: This expression can be expressed as the product of the factors??
2(radical 3)cos(x)csc(x)+4cos(x)-3csc(x)-2(radical 3)

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1040369: I need to solve the square root of 19-3x = x - 3 and I'm having some trouble.
I'm coming up w/ the square root of 5.5, but I don't feel like that's correct. Could you please help clarify?
Thank you!

Click here to see answer by ikleyn(52776) About Me 

Question 1040452: Can someone help me multiply each radical and simplify please?
(2√7+6√2)(√7+4√2)
and
(12-4√5)(12+4√5)
thank you for your help

Click here to see answer by josgarithmetic(39616) About Me 
Question 1040452: Can someone help me multiply each radical and simplify please?
(2√7+6√2)(√7+4√2)
and
(12-4√5)(12+4√5)
thank you for your help

Click here to see answer by ikleyn(52776) About Me 

Question 1040483: I am having trouble with this question: "What is the product of (y+2)(y-8)? The answers available are
y^2+6y-16 , y^2-6y-16 , y^2-6y+16 , y^2+6y+16 . Please explain how you got the correct answer, thank you so much in advance , Emily.

Click here to see answer by josgarithmetic(39616) About Me 
Question 1040483: I am having trouble with this question: "What is the product of (y+2)(y-8)? The answers available are
y^2+6y-16 , y^2-6y-16 , y^2-6y+16 , y^2+6y+16 . Please explain how you got the correct answer, thank you so much in advance , Emily.

Click here to see answer by Theo(13342) About Me 
Question 1040483: I am having trouble with this question: "What is the product of (y+2)(y-8)? The answers available are
y^2+6y-16 , y^2-6y-16 , y^2-6y+16 , y^2+6y+16 . Please explain how you got the correct answer, thank you so much in advance , Emily.

Click here to see answer by MathTherapy(10551) About Me 

Question 1040516: Solve the following optimization problem: Minimize x^3-10x^2+6
Then I must determine whether the solutions are locally or globally optimal
Thank you,
June

Click here to see answer by robertb(5830) About Me 

Question 1040542: I need help solving this problem please!
f(x) = sqrt(x+5) and g(x)=x-3
I need to find (f/g)(-1) and I'm coming up with:
sqrt((x+5)(x-3))/ x-3
I'm also asked to find the domain and come up with:
(−∞,−5]∪(3,∞)
am I on the right track?
Thank you for any guidance!

Click here to see answer by stanbon(75887) About Me 
Question 1040542: I need help solving this problem please!
f(x) = sqrt(x+5) and g(x)=x-3
I need to find (f/g)(-1) and I'm coming up with:
sqrt((x+5)(x-3))/ x-3
I'm also asked to find the domain and come up with:
(−∞,−5]∪(3,∞)
am I on the right track?
Thank you for any guidance!

Click here to see answer by Aldorozos(172) About Me 

Question 1040625: I could really use some help on this problem please!
I'm trying to find the diameter of a circle with the two points (-1, 0) and -9, -8).
This is what I've come up with, but I"m not sure if it's correct:
√((-1-(-9) )^2+(0-(-8))^2)
8^2 + 8^2
64 + 64
128
Any help is greatly appreciated!

Click here to see answer by jim_thompson5910(35256) About Me 
Question 1040625: I could really use some help on this problem please!
I'm trying to find the diameter of a circle with the two points (-1, 0) and -9, -8).
This is what I've come up with, but I"m not sure if it's correct:
√((-1-(-9) )^2+(0-(-8))^2)
8^2 + 8^2
64 + 64
128
Any help is greatly appreciated!

Click here to see answer by ikleyn(52776) About Me 

Question 1040626: I'm needing some help on this. I submitted earlier, but I didn't get a confirmation it went through:
I have two points end points on a circle and I need to find the diameter: (–1, 0) and (–9, –8) and I need to find the diameter.
I've come up with this, but I"m not sure if it's accurate:
√((-1-(-9) )^2+(0-(-8))^2)
8^2 + 8^2
64 + 64
128

any help is greatly appreciated!

Click here to see answer by Boreal(15235) About Me 

Question 1041020: (7+12sqrt(7))+(2-sqrt(63))(5+sqrt(7))
Simplify

Click here to see answer by stanbon(75887) About Me 
Question 1041020: (7+12sqrt(7))+(2-sqrt(63))(5+sqrt(7))
Simplify

Click here to see answer by MathTherapy(10551) About Me 

Question 1041320: can you show me step by step how to simplify this problem:
(45 /((-9 square root of 5)/5))i

Click here to see answer by josgarithmetic(39616) About Me 

Question 1041398: Find the value of m and n if .
Click here to see answer by Alan3354(69443) About Me 
Question 1041398: Find the value of m and n if .
Click here to see answer by Fombitz(32388) About Me 
Question 1041398: Find the value of m and n if .
Click here to see answer by stanbon(75887) About Me 

Question 1041795: √(2x+1)+√(x-3)=2
Click here to see answer by stanbon(75887) About Me 
Question 1041795: √(2x+1)+√(x-3)=2
Click here to see answer by MathTherapy(10551) About Me 
Question 1041795: √(2x+1)+√(x-3)=2
Click here to see answer by ikleyn(52776) About Me 

Question 1041816: Please help me simplify this sqrt{(6 + sqrt(12) + sqrt(24) - sqrt(8))}
the answer is 1+sqrt(3)-sqrt(2)

Click here to see answer by Fombitz(32388) About Me 

Question 1042187: A board of length 7/x-2 meters was cut into two pieces.If one piece is 3/x+2 meters,express the length of the other board, in meters, as a rational expression.
Click here to see answer by josmiceli(19441) About Me 

Question 1042599: (2x)^-3

Click here to see answer by Boreal(15235) About Me 

Question 1042670: Express (2y)^(3/2) in radical form

Click here to see answer by Edwin McCravy(20054) About Me 

Question 1042782: Sqrtx+8+sqrt+15=sqrt9x+40
Click here to see answer by Alan3354(69443) About Me 

Question 1043149: I need to understand how to simplify:
sort(30^2+50^2) to 10sqrt34
I don't understand how they got there :/

Click here to see answer by richard1234(7193) About Me 

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