Answer:
![(2,8]](https://tex.z-dn.net/?f=%282%2C8%5D)
Step-by-step explanation:
Given
The attached piece wise function
Required
The domain
To do this, we simply consider the inequalities that bound the values of x.
The inequalities are:
and 
Combine the first two inequalities:
and
For the inequality to be true, we must have:
In interval notation, the inequality is:
Answer: IX - 4I ≤ 4
Step-by-step explanation:
In the numer line we can see that our possible values of x are in the range:
0 ≤ x ≤ 8
And we want to find an absolute value equation such that this set is the set of possible solutions.
An example can be:
IX - 4I ≤ 4
To construct this, we first find the midpoint M of our set, in this case is 4.
Then we write:
Ix - MI ≤ IMI
Notice that i am using the minor and equal sign, this is because the black dots means that the values x = 0 and x = 8 are included, if the dots were empty dots, it would be an open set and we should use the < > signs.
Answer:
Step-by-step explanation:
Given:
1.
2.
3.
4.
5.
6.
7.
8.
theoretical probability is a coin will land on heads 50% of the time
50% of 100 = 50
since it only landed on heads 38 times, this was less than the theoretical probability of 50
Answer:
a = 1, b = 3.
Step-by-step explanation:
a + b = 4
a - b = -2 Adding to eliminate b:
2a = 2
a = 1
So 1 + b = 4
giving b = 3.
