Answer:
minimum value of z is 0
Step-by-step explanation:
if x and y both equal zero, then the value of z is zero, which is your answer.
Answer:
YES
Step-by-step explanation:
because they are all different lengths
The first digit may be 1 or 8.
The second digit may be 1, 2, 4, 8.
The third digit may be 1, 3, 5, 7, 9.
There are 
The probability that this is the correct code is 
Answer:
A
Step-by-step explanation:
We are given the function:

And we want to find:

So, we need to determine whether or not the limit exists. In other words, we will find the two one-sided limits.
Left-Hand Limit:

Since we are approaching from the left, we will use the first equation:

By direct substitution:

Right-Hand Limit:

Since we are approaching from the right, we will use the second equation:

Direct substitution:

So, we can see that:

Since both the left- and right-hand limits exist and equal the same thing, we can conclude that:

Our answer is A.
a) if the two gloves someone receives might both be for the left hand or right hand.
b) if each sister gets one left and one right.
Soln:
a) So i thought about dissectng the problem first into finding the number of ways in which I could make pairs of gloves:
C(12, 2)
then I asked how many ways could the sets of gloves be assigned amongst the 6 sisters:
<span><span>6!</span><span>6!</span></span>
and taking the product of this would give me the amount of ways this could occur:
= C(12,2) * 6!
then for part b)
using this same idea except:
C(6,1) C(6,1) for the left and right glove each .
the C(6,1)*C(6,1)*6!
Right way to think them through?