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Recent problems solved by 'user_dude2008'

user_dude2008 answered: 1858 problems
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Functions/274931: 1. Determine the domain of f in f(x) = 10 - square root of 3 -x
2. What is the function which would intersect the y-axis 2 positions up (vertical) from the function F(x)=x^2?
3. For f(x) = 4x+1 and g(x)=x^2-2x-4 find (g-f)(x)
1 solutions

Answer 200587 by user_dude2008(1861) About Me  on 2010-02-27 15:43:52 (Show Source):
You can put this solution on YOUR website!
1. 3-x >= 0 ---> x <= 3 Domain: (-infinity, 3]
2. Function is G(x)=x^2+2
3. (g-f)(x)=(x^2-2x-4)-(4x+1)=x^2-2x-4-4x-1=x^2-6x-5


Polynomials-and-rational-expressions/274929: Swimming space. The length of a rectangular swimming
pool is 2x - 1 meters, and the width is x+ 2 meters. Write
a polynomial A(x) that represents the area. Find A(5).
1 solutions

Answer 200585 by user_dude2008(1861) About Me  on 2010-02-27 15:41:23 (Show Source):


Linear-systems/274922: solve using the substitution method:
2(x-y)=3+x,
x=3y+4
1 solutions

Answer 200582 by user_dude2008(1861) About Me  on 2010-02-27 15:39:11 (Show Source):
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2(x-y)=3+x

2(3y+4-y)=3+3y+4

2(2y+4)=3y+7

4y+8=3y+7

4y-3y=7-8

y=-1

x=3y+4=3(-1)+4=-3+4=1

Answers: x=1, y=-1


Graphs/274928: How do you go about writing the following equation in standard form with integer coefficients: x%2B2y-4=0. Thank you.
1 solutions

Answer 200578 by user_dude2008(1861) About Me  on 2010-02-27 15:33:03 (Show Source):
You can put this solution on YOUR website!
x+2y-4=0 ----> x+2y=4

Answer: x+2y=4


Numeric_Fractions/274850: 5(2q+3)p-4(p-1)=
1 solutions

Answer 200577 by user_dude2008(1861) About Me  on 2010-02-27 15:31:53 (Show Source):
You can put this solution on YOUR website!
5(2q+3)p-4(p-1)=10pq+15p-4p+4=10pq+11p+4


Probability-and-statistics/274893: If a couple plans to have 10 children how many gender sequences are possible?
1 solutions

Answer 200575 by user_dude2008(1861) About Me  on 2010-02-27 15:30:50 (Show Source):
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There are possible sequences


decimal-numbers/274899: Write 9.3 x 10%5E4 in decimal form.
Can you please help me with this?
Thank you
1 solutions

Answer 200571 by user_dude2008(1861) About Me  on 2010-02-27 15:26:27 (Show Source):


Linear-systems/268813: How do you solve:
Solve the following system graphically. Sketch the graphs and label the point of intersection. State the solution of the system.
2x-y= 4
x+3y= 9
Thank you
1 solutions

Answer 197103 by user_dude2008(1861) About Me  on 2010-02-12 15:30:07 (Show Source):
You can put this solution on YOUR website!
First Graph

2x-y= 4 ---> y = 2x-4
x+3y=9 ---> y = -(1/3)x+3

+graph%28+500%2C+500%2C+-10%2C+10%2C+-10%2C+10%2C+2x-4%2C+-%281%2F3%29x%2B3%29+

Intersection: (3,2) ----> solutions: x=3, y=2


Functions/268973: 2x over y minus 4z
X=9 y=3 z= -1
1 solutions

Answer 197100 by user_dude2008(1861) About Me  on 2010-02-12 15:27:13 (Show Source):
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(2x)/(y-4z)=(2*9)/(3-4(-1)) = 18/(3+4) = 18/7

Answer: (2x)/(y-4z)=18/7


Polynomials-and-rational-expressions/268822: Hello,
I would like to know how to solve the problem (in words since I could not type in exponents and fractions on my iPhone.)
9x squared over x-squared minus 25 + 4x over 5 minus x = x over x + 5.
I know how to factor out the common denominator (x+5)(x-5) - right?but I am stuck on the rest. I would prefer the question to be answered including steps, by tomorrow (February 12, 2010) at 8:00
am. Thanks in advance!
~S.N.
1 solutions

Answer 197097 by user_dude2008(1861) About Me  on 2010-02-12 15:26:00 (Show Source):
You can put this solution on YOUR website!












or

or

Answers: or


Polynomials-and-rational-expressions/268636: When a polynomial is not factorable what is it called? Why?
Give example.
1 solutions

Answer 196852 by user_dude2008(1861) About Me  on 2010-02-11 18:05:59 (Show Source):
You can put this solution on YOUR website!
It's called a Prime Polynomial.


Polynomials-and-rational-expressions/268628: Solve the following:
(2f+5)^2
1 solutions

Answer 196851 by user_dude2008(1861) About Me  on 2010-02-11 18:05:24 (Show Source):
You can put this solution on YOUR website!
(2f+5)^2=4f^2+20f+25


Inequalities/268631: 7<3x+16<46
1 solutions

Answer 196850 by user_dude2008(1861) About Me  on 2010-02-11 18:04:04 (Show Source):
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7<3x+16<46
7-16<3x<46-16
-9<3x<30
-9/3 < x < 30/3
-3 < x < 10

Answer: -3 < x < 10


Linear-equations/268646: y=4x-5 graph linear equation
1 solutions

Answer 196849 by user_dude2008(1861) About Me  on 2010-02-11 18:02:13 (Show Source):


Linear-equations/268647: solve equation for y then graph equation
2x+y=-3
1 solutions

Answer 196848 by user_dude2008(1861) About Me  on 2010-02-11 18:01:31 (Show Source):
You can put this solution on YOUR website!
2x+y=-3 ----> y=-2x-3

Graph

+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2x-3%29+


logarithm/268643: If logb2 = a and logb3 = c
I need to find the properties of logarithms to find the following
logb(72b)
Any help would be greatly appreciated!
1 solutions

Answer 196847 by user_dude2008(1861) About Me  on 2010-02-11 18:00:50 (Show Source):
You can put this solution on YOUR website!
,


,
and






Answer:


Average/266410: Fifteen people took part in a free-throw competition. The first participant scored
x points, the second scored y points, the third scored the arithmetic mean of the
number of points scored by the first two, and each subsequent competitor scored
the arithmetic mean of the number of points scored by all previous ones. How
many points did the last competitor score?

(A) (x+y)/2 (B) 12(x+y)/14 (C) 13(x+y)/15
(D) 14(x+y)/16 (E) none of these

1 solutions

Answer 195736 by user_dude2008(1861) About Me  on 2010-02-06 19:35:29 (Show Source):
You can put this solution on YOUR website!
(x+y+(x+y)/2)/3 = ((3x+3y)/2)/3 = (3x+3y)/6 = (x+y)/2

Answer: A)


expressions/266341: (evaluate)yz + xy - z for x=2,y=4,z=1
1 solutions

Answer 195735 by user_dude2008(1861) About Me  on 2010-02-06 19:34:18 (Show Source):
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yz+xy-z=4*1+2*4-1=11


Length-and-distance/266403: multiply. (y^2-7)(3y^2-8y+7)

1 solutions

Answer 195734 by user_dude2008(1861) About Me  on 2010-02-06 19:33:14 (Show Source):
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(y^2-7)(3y^2-8y+7) = y^2(3y^2-8y+7) - 7(3y^2-8y+7) = 3y^4-8y^3-14y^2+56y-49


Polynomials-and-rational-expressions/266386: add (5x^2-xy+y^2)+(-x^2-7xy+9y^2)
1 solutions

Answer 195733 by user_dude2008(1861) About Me  on 2010-02-06 19:31:43 (Show Source):
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(5x^2-xy+y^2)+(-x^2-7xy+9y^2) = 4x^2 - 8xy +10y^2


Linear_Equations_And_Systems_Word_Problems/266347: Three times a number is the same as the difference of twice the number and seven. Find the number.
1 solutions

Answer 195732 by user_dude2008(1861) About Me  on 2010-02-06 19:30:43 (Show Source):
You can put this solution on YOUR website!
3x=2x-7
3x-2x=-7
x=-7 <----Answer


Quadratic_Equations/266349: Another method of solving quadratic eqautions came from India.
a. move the constant term to the right side of the equation.
b. multiply each term in the equation by four times the coefficient of the x square term.
c. Square the coefficient of the orginal x term and add it to both sides.
e. sel the left side of the equation equal to the postive square root of the number on the right side and solve for x.
f. set the left side of the equation equal to the negative square root of the number on the right side of the equation and solve for x.
Solve the following.
x square - 2x -13=0
4x square - 4x + 3 = 0
x square + 12x-64=0
2x square - 3x - 5=0
I need help with any or all of the following to see an example of the process.

1 solutions

Answer 195731 by user_dude2008(1861) About Me  on 2010-02-06 19:29:41 (Show Source):
You can put this solution on YOUR website!
x^2 - 2x -13=0
a. x^2 - 2x =13
b. 4x^2-8x=52
c. 4x^2-8x+4=52+4

4x^2-8x+4=56
d. 4(x^2-2x+1)=56
d. 4(x-1)^2=56

(x-1)^2=14

e. x-1=sqrt(14)
e. x=1+sqrt(14)

f. x-1=-sqrt(14)
f. x=1-sqrt(14)


Answers: x=1+sqrt(14) or x=1-sqrt(14)





Trigonometry-basics/266363: find all the solutions to the equation
csc(theta)-2=0
write all answers in radians in terms of pi
1 solutions

Answer 195730 by user_dude2008(1861) About Me  on 2010-02-06 19:24:56 (Show Source):
You can put this solution on YOUR website!
csc(theta)-2=0
csc(theta)=2
1/sin(theta)=2
sin(theta)=1/2
theta=pi/6+2pi*n or theta=5pi/6+2pi*n <----Answers


Graphs/266380: 1/2(x+4)=1/3(3x-6)
1 solutions

Answer 195729 by user_dude2008(1861) About Me  on 2010-02-06 19:21:49 (Show Source):
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1/2(x+4)=1/3(3x-6)

3(x+4)=2(3x-6)

3x+12=6x-12

-3x=-24
x=8
Answer: x=8


Systems-of-equations/266378: Evaluate x-y divided by 3 when x is 2 more than 5 times y and y=4

1 solutions

Answer 195728 by user_dude2008(1861) About Me  on 2010-02-06 19:20:15 (Show Source):
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x=2+5y
x=2+5(4)
x=22

(x-y)/3=(22-4)/3=18/3=6

Answer: (x-y)/3=6


Problems-with-consecutive-odd-even-integers/266353: Write an integer that is less than -9 explain?
1 solutions

Answer 195727 by user_dude2008(1861) About Me  on 2010-02-06 19:18:26 (Show Source):
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-10 is an integer less than -9


Functions/266409: Determine which equation represents y as a function of x:
y^2 - 4y =x
y=x^2 +2x +3
(x+1)^2 + (y+2)^2 = 64
x=3
None of The Above
1 solutions

Answer 195726 by user_dude2008(1861) About Me  on 2010-02-06 19:17:38 (Show Source):
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Answer: y=x^2 +2x +3 is a function of x


Equations/266437: 4x-3+2x=8x-3-x
1 solutions

Answer 195725 by user_dude2008(1861) About Me  on 2010-02-06 19:16:29 (Show Source):
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4x-3+2x=8x-3-x
6x-3=7x-3
-x=0
x=0
Answer: x=0


Polynomials-and-rational-expressions/266135: how do i factor 5y^2-90 as a polynomial
1 solutions

Answer 195558 by user_dude2008(1861) About Me  on 2010-02-05 17:28:36 (Show Source):
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5y^2-90 = 5(y^2-18)


Polynomials-and-rational-expressions/266133: (3x-5)^3
solve
1 solutions

Answer 195551 by user_dude2008(1861) About Me  on 2010-02-05 17:01:28 (Show Source):
You can put this solution on YOUR website!
(3x-5)^3 = (3x-5)(3x-5)(3x-5) = (3x-5)(9x^2-30x+25) = 27x^3-135x^2+225x-125


Equations/266130: 1+ 8/x^2 =4/x
1 solutions

Answer 195549 by user_dude2008(1861) About Me  on 2010-02-05 17:00:13 (Show Source):
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1+ 8/x^2 =4/x

x^2+ 8 =4x

x^2-4x+8=0

x=2+2i or x=2-2i <---- Answers