Here you have to find which each variable is, for this you start of picking one equation,
x + 2y + 6z = 4
-3x + 2y - 2 = -4
4x + 2z = 16
depending the equation you pick you multiply that by a certain number that will give you the opposite of one of the other equations,
-1(x + 2y + 6z = 4)
= -x -2y - 6z = -4
With this you add or subtract it with the equation that has the same number or variable, or both,
In this case it will be the equation,
-3x + 2y + 6z = 4
You can use this one or the third equation since both have a positive 2y which will cancel with -2y from the new equation,
-x - 2y - 6z = -4
-3x + 2y -z = -4
= -4x -7z = -8
Now you since you just eliminated the variable (y) you now have 2 variables, and the last equation has only 2 variables, meaning now you find the answer to those to equations,
-4x -7z = -8
4x + 2z = 16
= -5z = 8
Now leave the variable by itself,
z = 8/5
Now you found the variable (z), with this just substitute on one of the equations we used to find (z) so you can find (x), after that substitute those answered to on of the original equations so you can find (y)
It is
![24x - 30](https://tex.z-dn.net/?f=24x%20-%2030)
The equation for area of a trapezoid is
![\frac{1}{2} (a + b) \times h](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%28a%20%2B%20b%29%20%5Ctimes%20h)
Substituting our values in
![\frac{1}{2} (3x + 7 + 5x - 3) \times 6](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%283x%20%2B%207%20%2B%205x%20-%203%29%20%5Ctimes%206)
We can then simplify the expression
![\frac{1}{2} (8x - 10) \times 6 \\ (4x - 5) \times 6 \\ 24x - 30](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B2%7D%20%288x%20-%2010%29%20%5Ctimes%206%20%5C%5C%20%284x%20-%205%29%20%5Ctimes%206%20%5C%5C%2024x%20-%2030)
Answer:
The sample space would be infinite
{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}
1/8
Step-by-step explanation:
The sample space would be infinite
{HH, TTTHH, TTTTHH, TTTTTTTHH.......................}.
This is because the number of times the coin would be flipped is not specified. So, you can keep flipping the coin forever.
If the coin is tossed four times then the sample space would be
{HHHH HTHH THHH HTHT
HHHT HTTH TTHH THTH
HHTT HHTH TTTH THHT
HTTT TTTT TTHT THTT}
HTHH and TTHH are the only two cases where two consecutive tosses will result in two heads
Probability that the coin will be tossed four times is 2/16 = 1/8
I think it's 230 inches
Cheers :3
Answer:
All Real Numbers
Step-by-step explanation:
Any value of <em>c</em> makes the equation true.
Interval Notation