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Recent problems solved by 'user_dude2008'

user_dude2008 answered: 1858 problems
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Linear-systems/530229: solve by substitution 2x+2y=2 and -4x+4y=12
1 solutions

Answer 349960 by user_dude2008(1861) About Me  on 2011-11-11 21:25:13 (Show Source):
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Answers: x=-1 and y=2


test/526630:
1 solutions

Answer 348583 by user_dude2008(1861) About Me  on 2011-11-05 17:10:51 (Show Source):


Polynomials-and-rational-expressions/519393: 36^1/2
--------------
15^2
simplify the following algebraic expressions:






1 solutions

Answer 345577 by user_dude2008(1861) About Me  on 2011-10-22 20:05:40 (Show Source):
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     36^1/2           6            2
-------------- = ------------ = --------
     15^2            225           75


Exponents/519400: divide and simplify
s^9/s^17
type exponential notation with positive exponets
1 solutions

Answer 345576 by user_dude2008(1861) About Me  on 2011-10-22 20:03:56 (Show Source):
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s^9/s^17 = 1/s^8


Exponents/519402: find the following
^14√(-4)^14
simplify
1 solutions

Answer 345575 by user_dude2008(1861) About Me  on 2011-10-22 20:03:28 (Show Source):
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^14√(-4)^14 = 4


Exponents/519399: rewrite the following expression with positive exponets
(42xy)^-2/9
A. -(42xy)^2/9
B. 1/(42xy)^9/2
C. 1/(42xy)^2/9
D. (42xy)^9/2
1 solutions

Answer 345574 by user_dude2008(1861) About Me  on 2011-10-22 20:02:08 (Show Source):


Exponential-and-logarithmic-functions/519416: (32xy)^-2/9
Rewrite positive exponents
1 solutions

Answer 345572 by user_dude2008(1861) About Me  on 2011-10-22 20:01:24 (Show Source):
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(32xy)^-2/9 = 1/[(32xy)^2/9]


Exponents/519411: 3x^7-12x^6+24x^5
factor completely
I did but I need to know if it will factor anymore. here is my answer
3x^5(x^2-4x+8)
1 solutions

Answer 345571 by user_dude2008(1861) About Me  on 2011-10-22 20:00:55 (Show Source):
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You have the right answer. It won't factor any more.


Linear-equations/507917: Find an equation of a line perpendicular to x=3 and passing through the point (3, 4)
1 solutions

Answer 340801 by user_dude2008(1861) About Me  on 2011-10-02 13:50:15 (Show Source):


Exponents-negative-and-fractional/398462: Please help me with the following problem. I am not sure where to begin. Thank you.
Factor the polynomial (x-1)(x+4)^2-(x-1)^2(x+4). Your answer can be written as A(x+B)(x+C) with integers A, B, C and B A=
B=
C=
1 solutions

Answer 282345 by user_dude2008(1861) About Me  on 2011-01-23 14:41:56 (Show Source):
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(x-1)(x+4)^2-(x-1)^2(x+4)

(x-1)(x+4)((x+4)-(x-1))

(x-1)(x+4)(x+4-x+1)

(x-1)(x+4)5

5(x-1)(x+4)


Triangles/398475: I have side a= x-2, side b=x and side c=x+2 and it is a right triangle.. I am supposed to solve for x
1 solutions

Answer 282342 by user_dude2008(1861) About Me  on 2011-01-23 14:31:12 (Show Source):
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(x-2)^2+x^2=(x+2)^2
x^2-4x+4+x^2=x^2+4x+4
x^2-8x=0
x(x-8)=0
x=0 or x=8

Answer: x=8


Inequalities/397082: y>3x,{(1,5),(1,0),(-1,0),(5,1)} determine which ordered pairs are part of the solution set for each inequality.
1 solutions

Answer 281493 by user_dude2008(1861) About Me  on 2011-01-19 21:42:24 (Show Source):
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Answers: (1,5),(-1,0)


Evaluation_Word_Problems/397090: how do i write an algebraic expession for nine times m then incresed by six??
1 solutions

Answer 281489 by user_dude2008(1861) About Me  on 2011-01-19 21:40:03 (Show Source):


Polynomials-and-rational-expressions/397085: Multiply.
%28s%2Bd%29%28s%5E2-sd%2Bd%5E2%29
Simplify your answer.
1 solutions

Answer 281488 by user_dude2008(1861) About Me  on 2011-01-19 21:39:44 (Show Source):


Trigonometry-basics/397087: Find the value of x to two decimal places in the following equation: In x = 3
1 solutions

Answer 281487 by user_dude2008(1861) About Me  on 2011-01-19 21:39:16 (Show Source):
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x=e^3=20.0855369232089


Square-cubic-other-roots/394570: not sure how to do this
4^1/5 * 4 ^2/5 =
1 solutions

Answer 279955 by user_dude2008(1861) About Me  on 2011-01-13 23:03:21 (Show Source):
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4^1/5 * 4 ^2/5 = 4^(1/5+2/5) = 4^3/5


logarithm/394438: solve the equation for x.
e^ax=Ce^bx, where a is not equal to b
1 solutions

Answer 279855 by user_dude2008(1861) About Me  on 2011-01-13 19:35:36 (Show Source):
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e^ax=Ce^bx

ln(e^ax)=ln(C)+ln(e^bx)

ax=ln(C)+bx

ax-bx=ln(C)

(a-b)x=ln(C)

x=ln(C)/(a-b)


Inequalities/393015: Please solve and show work thanks!
If a-b > a+b, which statement is true?
A) THE VALUE OF A IS POSITIVE
B) THE VALUE OF B IS POSITIVE
C) THE VALUE OF A IS NEGATIVE
D) THE VAULUE OF B IS NEGATION
1 solutions

Answer 278969 by user_dude2008(1861) About Me  on 2011-01-10 22:17:01 (Show Source):
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a-b > a+b
-b > b
0 > b+b
0 > 2b
0 > b
b < 0

Answer: D


Linear-systems/391710: my Question is like that :3x+4y=s
6x+8y+t
a)determine particular values for s and t so that the system is consistent.
b)determine particular values for s and t so that the system is inconsistent.
c)what relationship between the values of s and t will guarantee that the system is consistent?
my work was stuck at here :eqn 1+eqn 2
-2s+t=0
2s=t
1 solutions

Answer 277980 by user_dude2008(1861) About Me  on 2011-01-07 17:44:18 (Show Source):
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a)
s = 1
t = 2

b)
s = 3
t = 9

c)
t = 2s



Quadratic_Equations/390358: Find two consecutive even integers such that the sum of their squares is 52
1 solutions

Answer 276745 by user_dude2008(1861) About Me  on 2011-01-03 17:31:07 (Show Source):
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(2x)^2+(2x+2)^2=52
4x^2+4x^2+8x+4=52
4x^2+4x^2+8x+4-52=0
8x^2+8x-48=0
8(x^2+x-6)=0
8(x+3)(x-2)=0
x+3=0 or x-2=0
x=-3 or x=2

Numbers are: -6, -4 or 4, 6


Numbers_Word_Problems/390207: There are 4 friends going to a movie.How many seating combinations are possible?
1 solutions

Answer 276615 by user_dude2008(1861) About Me  on 2011-01-03 01:13:39 (Show Source):
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4! = 4*3*2*1 = 24


Length-and-distance/390012: a translation moves A(2,3) onto A' (4,8). What are the coordinates of B', the image of B(4,6) under the same translation?
1) (12,18)
2) (8,12)
3) (6,8)
4) (6,11)
1 solutions

Answer 276477 by user_dude2008(1861) About Me  on 2011-01-02 16:38:11 (Show Source):
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P(x,y) ----> P'(x+2,y+5)
B(4,6) ----> B'(4+2, 6+5) = B'(6,11)

Answer: (6,11)


Length-and-distance/390009: if the measure of the angles of a triangle are in the ratio 2:3:4, the measure of the smallest angle is
1) 60 degrees
2) 20 degrees
3) 40 degrees
4) 80 degrees

1 solutions

Answer 276476 by user_dude2008(1861) About Me  on 2011-01-02 16:36:40 (Show Source):
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2x+3x+4x=180
9x=180
x=20
2x=2*20=40
Answer: 40


Functions/390007: What is the domain and range if there is a closed circle at (-4,4) and a open circle at (3,-5)points are connected thanks
1 solutions

Answer 276474 by user_dude2008(1861) About Me  on 2011-01-02 16:34:59 (Show Source):
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Domain:

Range:


Miscellaneous_Word_Problems/390000: Write the following union of intervals as a single interval. [0, 3) U (2, 6]
1 solutions

Answer 276470 by user_dude2008(1861) About Me  on 2011-01-02 16:26:29 (Show Source):
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[0, 3) U (2, 6] = [0, 6]


Rational-functions/389805: Find the value of |3 7||5 -2|
Thank you so much!!!!!!
God Bless and Happy New Year!!!!!!!
1 solutions

Answer 276346 by user_dude2008(1861) About Me  on 2011-01-01 23:17:31 (Show Source):
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|3 7|
|5 -2|
= (3)(-2)-(5)(7) = -6-35 = -41

Answer: -41




Complex_Numbers/389790: what is the domain of the function:
f(x) 3x^2/x^2-49
1 solutions

Answer 276320 by user_dude2008(1861) About Me  on 2011-01-01 20:32:45 (Show Source):


Complex_Numbers/389788: please help me simplify this expression
5 square root r times square root rs
1 solutions

Answer 276318 by user_dude2008(1861) About Me  on 2011-01-01 20:29:06 (Show Source):


Triangles/389777: an isoseles triangle has a perimeter of 50in. the congrtuent sides measure (2x=3)cm. the length of the third side is 4x cm. what is the valu of x?
1 solutions

Answer 276310 by user_dude2008(1861) About Me  on 2011-01-01 18:56:51 (Show Source):
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(2x+3)+(2x+3)+(4x)=50
2x+3+2x+3+4x=50
8x+6=50
8x=50-6
8x=44
x=44/8
x=11/2
x=5.5


Percentage-and-ratio-word-problems/388746: Mrs. Smith's class has 15 girls and 12 boys. The entire school has 300 girls and the same proportion f girls to boys as Mrs. Smith's class. How many boys does the entire school have?
1 solutions

Answer 275120 by user_dude2008(1861) About Me  on 2010-12-24 17:31:31 (Show Source):
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b=# of boys
15/12=300/b
15b=3600
b=3600/15
b=240

Answer: 240 boys


Geometry_Word_Problems/388531: the perimeter of a parallelogram is 54cm. the ratio of the lengths of the sides is 2:7. what are the lengths of the sides?
1 solutions

Answer 274937 by user_dude2008(1861) About Me  on 2010-12-22 23:38:41 (Show Source):
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2/7=a/b
2b=7a

2a+2b=54
2a+7a=54
9a=54
a=6

2b=7*6
2b=42
b=21

sides are 6, 21