Step-by-step explanation:
The given objective function is 
To check that which ordered pair is minimizing the objective function-we will substitute all the ordered pair one by one in the given function and we will calculate the value of C. The ordered pair which will give the minimum value will be the answer.
For (0, 160)

For (55, 70)

For (80, 50)

For (80, 50)

Hence the ordered pair which minimizes the objective function is (80, 50)
Answer:
The probability that the hail storm will happen on a Saturday is 0.1667.
Step-by-step explanation:
The month of June started on Friday.
Then June 2 is a Saturday.
Remaining 28 days.
Each week has 7 days.
There will be 4 full weeks for the month of June.
So there will be 4 more Saturdays.
Thus, there are a total of 5 Saturdays in the month of June.
Compute the probability that the hail storm will happen on a Saturday as follows:

Thus, the probability that the hail storm will happen on a Saturday is 0.1667.
The function is:
f ( x ) = 2 x² - 44 x + 185
f ( x ) = 2 ( x² - 22 x + 121 - 121 ) + 185 =
= 2 ( x² - 22 x + 121 ) - 242 + 185 =
= 2 ( x - 11 )² - 57
Answer:
The vertex is ( 11, - 57 ) and the vertex form is: f ( x ) = 2 ( x - 11 )² - 57