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Permutations/217296: Kindly answer this question please!!! Thanks!!! A housing contractor will build a house with 2,3, or 4 bedrooms, 1,or 2 bathrooms and a single garage. How many choices does he offer?
1 solutions
Answer 163855 by ichudov(404)   on 2009-09-25 21:09:09 (Show Source):
You can put this solution on YOUR website!As your problem does not say anything about any restriction, I assume that any combination is possible, like 4 bedrooms and one bathroom.
It would seem that the only choices are bedrooms and bathrooms and the garage is not a choice, that is there can be only one. In this case there is six possibilities -- from three choices of bathrooms multiplied by two choices of restrooms. If it is possible to not have a garage, you have to multiply that number (six) by two for each possibility of garage or no garage.
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Rectangles/217213: The length of a rectangle is 4in longer than its width. If the perimeter of the rectangle is 28in, find its area.
1 solutions
Answer 163811 by ichudov(404) on 2009-09-25 17:04:34 (Show Source):
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Graphs/217214: 1)A function f is given. x^4-9x^2
(a) Use a graphing device to draw the graph of f.
(b) State approximately the intervals on which f is increasing and on which f is decreasing. Use (0, 0) for any remaining intervals that you do not need. (Round your answers to the nearest tenth.)
Increasing.
It asks for (?,?) Left most increasing
(?,?) right most increasing
(?,?) left most decreasing
(?,?) right most decreasing
1 solutions
Answer 163809 by ichudov(404) on 2009-09-25 17:01:00 (Show Source):
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Linear_Equations_And_Systems_Word_Problems/217226: 1) Solve the system of linear equations
a) What is the value of z?
b) What is the value of x?
c) What is the value of y?
1 solutions
Answer 163805 by ichudov(404) on 2009-09-25 16:56:13 (Show Source):
You can put this solution on YOUR website!
From the last equation -x+y-2z=-1, you quickly get x = y-2z+1.
substitute this in first two and simplify
first equation : (y-2z+1)-2y+3z=1 or -y+z=0
second equation: 4(y-2z+1)+5y+z=26, simplify this:
| Solved by pluggable solver: EXPLAIN simplification of an expression |
Your Result:
Simplify 4*(y-2z+1)+5y+z=26
Your Answer:
- Graphical form:
 simplifies to  - Text form: 4*(y-2z+1)+5y+z=26 simplifies to 9*y-7*z-22=0
- Cartoon (animation) form:
simplify_cartoon( 4*(y-2z+1)+5y+z=26 )
Detailed explanation:
Look at  .
Moved these terms to the left 
It becomes  .
Look at  .
Expanded term  by using associative property on 
It becomes  .
Look at  .
Multiplied numerator integers
It becomes  .
Look at  .
Multiplied numerator integers
It becomes  .
Look at  .
Added fractions or integers together
It becomes  .
Look at  .
Moved  to the right of expression
It becomes  .
Look at  .
Removed extra sign in front of
It becomes  .
Look at  .
Eliminated similar terms  , replacing them with 
It becomes  .
Look at  .
Eliminated similar terms  , replacing them with 
It becomes  .
Look at  .
Added fractions or integers together
It becomes  .
Look at  .
Added fractions or integers together
It becomes  .
Look at  .
Removed extra sign in front of 
It becomes  .
Look at  .
Remove unneeded parentheses around factor 
It becomes  .
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Remove unneeded parentheses around factor 
It becomes  .
Result: 
Done!
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so we get 
Solve it
| Solved by pluggable solver: SOLVE linear system by SUBSTITUTION |
Solve:
 We'll use substitution. After moving 1*z to the right, we get:
 , or  . Substitute that
into another equation:
 and simplify:
| EXPLAIN simplification of an expression |
Your Result:
Simplify 9*(0/-1-1*z/-1)+-7z=22
Your Answer:
- Solutions: z=11.
- Graphical form: Equation
 was fully solved. - Text form: 9*(0/-1-1*z/-1)+-7z=22 simplifies to 0=0
- Cartoon (animation) form:
simplify_cartoon( 9*(0/-1-1*z/-1)+-7z=22 )
Detailed explanation:
Look at  .
Since  has zero as a factor, it should be replaced with a zero
Look at  .
Remove extraneous '1' from product 
It becomes  .
Look at  .
Remove extraneous zero 
It becomes  .
Look at  .
Remove unneeded parentheses around factor ,
It becomes  .
Look at  .
Eliminated similar terms  , replacing them with 
It becomes  .
Look at  .
Multiplied numerator integers
It becomes  .
Look at  .
Added fractions or integers together
It becomes  .
Look at  .
Removed extra sign in front of 
It becomes  .
Look at  .
Remove unneeded parentheses around factor 
It becomes  .
Look at  .
Moved these terms to the left 
It becomes  .
Look at  .
Solved linear equation  equivalent to 2*z-22 =0
It becomes  .
Result: 
Solutions: z=11.
Done!
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So, we know that z=11. Since , y=11.
Answer:  .
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Since y and z = 11, and x = y-2z+1, we get x = 11-22+1 = -10
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Graphs/217058: Could someone please help me with this problem. It says to graph the ellipse  I tried solving for Y but i came out with y=4-1/2x which didnt seem to work. I would really appreciate any step by step help.
1 solutions
Answer 163717 by ichudov(404) on 2009-09-25 08:46:28 (Show Source):
You can put this solution on YOUR website!You can start with a graph of the inequality  to get you started:
This site has a general graphing calculator that plots inequalities.
You can set x = 0 and find out where the ellipse cross the Y axis, by solving for Y:  , which is easy (  ). Then do the same to find out where it crosses the X axis with Y=0:  (  ).
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