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Polynomials-and-rational-expressions/619068: 3(2z-1)-2(z+4)=2(z+1)
solve, me and a fellow student got different asnwers and confuse to who is correct? please help
1 solutions
Answer 389311 by jim_thompson5910(28503)   on 2012-06-08 16:05:56 (Show Source):
You can put this solution on YOUR website! Start with the given equation.
 Distribute.
 Combine like terms on the left side.
 Add  to both sides.
 Subtract  from both sides.
 Combine like terms on the left side.
 Combine like terms on the right side.
 Divide both sides by  to isolate  .
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Answer:
So the solution is 
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If you need more help, email me at jim_thompson5910@hotmail.com
Also, please consider visiting my website: http://www.freewebs.com/jimthompson5910/home.html and making a donation. Thank you
Jim
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Permutations/619065: A teacher selects 3 students from the 22 students in a physics class to represent Your school at the science fair. In how many different ways can the teacher choose?
1 solutions
Answer 389306 by jim_thompson5910(28503) on 2012-06-08 15:36:54 (Show Source):
You can put this solution on YOUR website!C(n,r) = (n!)/(r!(n-r)!)
C(22,3) = (22!)/(3!*(22-3)!)
C(22,3) = (22!)/(3!*19!)
C(22,3) = (22*21*20*19!)/(3!*19!)
C(22,3) = (22*21*20)/(3!)
C(22,3) = (22*21*20)/(3*2*1)
C(22,3) = (9240)/(6)
C(22,3) = 1540
So there are 1540 different ways.
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Quadratic_Equations/619066: what is the vertex of x^2-4?!
I think I did it wrong because once I plugged in my input values(-2,-1,0,1,2) I got (-2,-16) (-1,-4) (0,0) (1,-4) (2,-16) so once I graphed it I got a downward parabola, and isnt it supposed to be upward since my x^2 is positive?! Please help me figure this out! Also, once for the the vertex points I did (x+2)=0 and (x-2)=0 to solve for x then I simply plugged it in to find y; however, once I did that my vertex points turned out to be (-2,16) (2,16)! This shouldnt be right since the vertex is the highest and lowest value! Please help... Thank you!
1 solutions
Answer 389305 by jim_thompson5910(28503) on 2012-06-08 15:35:46 (Show Source):
You can put this solution on YOUR website!I'm not sure how you're getting those output values. When x = -2, y is...
y = x^2 - 4
y = (-2)^2 - 4
y = 4 - 4
y = 0
So when x = -2, y = 0. So we have the point (-2,0)
Hopefully that will get you on the right track. If not, please let me know.
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Subset/618671: Let b={1,3,5,7,9}. List all possible subset of b.
1 solutions
Answer 389098 by jim_thompson5910(28503) on 2012-06-07 14:52:54 (Show Source):
You can put this solution on YOUR website!List of all subsets of set {1,3,5,7,9}
{1,3,5,7,9}
{1,3,5,7}, {1,3,5,9}, {1,3,7,9}, {1,5,7,9}, {3,5,7,9}
{1,3,5}, {1,3,7}, {1,3,9}, {1,5,7}, {1,5,9}, {1,7,9}, {3,5,7}, {3,5,9}, {3,7,9}, {5,7,9}
{1,3}, {1,5}, {1,7}, {1,9}, {3,5}, {3,7}, {3,9}, {5,7}, {5,9}, {7,9}
{1}, {3}, {5}, {7}, {9}
{}
Note: {} is the empty set.
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percentage/618530: The cost of a television increased from $1,545 to $1,680 in one year. What was the percentage rate of increased?
1 solutions
Answer 388973 by jim_thompson5910(28503) on 2012-06-06 18:36:44 (Show Source):
You can put this solution on YOUR website!Percent Increase = [(New - Old)/Old] * 100
Percent Increase = [(1680-1545)/1545] * 100
Percent Increase = [135/1545] * 100
Percent Increase = 0.0874 * 100
Percent Increase = 8.74%
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Quadratic_Equations/618477: factorise it 3y^2+13y+14
can u plz explain im confused
1 solutions
Answer 388930 by jim_thompson5910(28503) on 2012-06-06 15:51:12 (Show Source):
You can put this solution on YOUR website!
Looking at the expression  , we can see that the first coefficient is  , the second coefficient is  , and the last term is  .
Now multiply the first coefficient by the last term to get  .
Now the question is: what two whole numbers multiply to  (the previous product) and add to the second coefficient ?
To find these two numbers, we need to list all of the factors of (the previous product).
Factors of :
1,2,3,6,7,14,21,42
-1,-2,-3,-6,-7,-14,-21,-42
Note: list the negative of each factor. This will allow us to find all possible combinations.
These factors pair up and multiply to .
1*42 = 42
2*21 = 42
3*14 = 42
6*7 = 42
(-1)*(-42) = 42
(-2)*(-21) = 42
(-3)*(-14) = 42
(-6)*(-7) = 42
Now let's add up each pair of factors to see if one pair adds to the middle coefficient :
| First Number | Second Number | Sum | | 1 | 42 | 1+42=43 | | 2 | 21 | 2+21=23 | | 3 | 14 | 3+14=17 | | 6 | 7 | 6+7=13 | | -1 | -42 | -1+(-42)=-43 | | -2 | -21 | -2+(-21)=-23 | | -3 | -14 | -3+(-14)=-17 | | -6 | -7 | -6+(-7)=-13 |
From the table, we can see that the two numbers  and  add to (the middle coefficient).
So the two numbers and both multiply to and add to
Now replace the middle term  with  . Remember, and add to . So this shows us that  .
 Replace the second term with .
 Group the terms into two pairs.
 Factor out the GCF  from the first group.
 Factor out from the second group. The goal of this step is to make the terms in the second parenthesis equal to the terms in the first parenthesis.
 Combine like terms. Or factor out the common term 
===============================================================
Answer:
So factors to .
In other words,  .
Note: you can check the answer by expanding to get or by graphing the original expression and the answer (the two graphs should be identical).
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test/618448: Find the slope of the line passing through the given pair of points.(6, 17) and (-17, 11)
1 solutions
Answer 388921 by jim_thompson5910(28503) on 2012-06-06 14:46:06 (Show Source):
You can put this solution on YOUR website!
Note: ) is the first point ) . So this means that  and  .
Also, ) is the second point ) . So this means that  and  .
 Start with the slope formula.
 Plug in , , , and
 Subtract  from to get 
 Subtract from  to get 
 Reduce
So the slope of the line that goes through the points and is
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Subset/618406: List all the subcet of {11,12,13,14}
1 solutions
Answer 388866 by jim_thompson5910(28503) on 2012-06-06 11:49:27 (Show Source):
You can put this solution on YOUR website!List of all subsets of set {11,12,13,14}
{11,12,13,14}
{11,12,13}, {11,12,14}, {11,13,14}, {12,13,14}
{11,12}, {11,13}, {11,14}, {12,13}, {12,14}, {13,14}
{11}, {12}, {13}, {14}
{}
Note: {} is the empty set.
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Equations/618190: how do I determine whether x=13 is a solution of the ordered pair (13,5)
1 solutions
Answer 388748 by jim_thompson5910(28503) on 2012-06-05 18:49:22 (Show Source):
You can put this solution on YOUR website!In the ordered pair (13,5), this states that (x,y) = (13,5), so x = 13
So if we have (13,5), then we know that x = 13
Note: I think you meant to say whether (13,5) was a solution to x = 13
So the answer is yes.
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Geometry_Word_Problems/617810: two flower beds are shaped like right triangles. what measurement can you show that two triangular flowers are beds congruent ?
1 solutions
Answer 388569 by jim_thompson5910(28503) on 2012-06-04 19:18:09 (Show Source):
You can put this solution on YOUR website!If you know the hypotenuse of one triangle is equal to the other and if you know that one leg is equal to it's corresponding counterpart, then you will have shown that the two triangles are congruent.
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