An arithmetic sequence is a sequence in which the difference between each consecutive term remains same (constant).
The explicit formula for an arithmetic sequence is , where a is first term of sequence, d is the common difference between consecutive terms.
A) We can see from Julio's swimming distance that it is in arithmetic sequence as after every successive training session Julio's swimming distance increased by 0.30 miles.
Therefore, we can see that Julio's training schedule is an arithmetic sequence.
B) Let us find Julio will take how many days to swim 2.95 miles by using explicit formula.
Let us substitute our given information in above formula.
We are told that Julio swims every two days, this implies that he would swim on alternate days. So he will swim 2.95 miles on 10*2 =20th day.
Let us find 20th day will be which day. As Julio started his training schedule on Tuesday, 20th day will be a Sunday. Therefore, Julio will swim for 2.95 miles on a Sunday.
It’s probably too late but
Point M is now at (7,1)
Answer:
Minimum Unit Cost = $14,362
Step-by-step explanation:
The standard form of a quadratic is given by:
ax^2 + bx + c
So for our function, we can say,
a = 0.6
b = -108
c = 19,222
We can find the vertex (x-coordinate where minimum value occurs) by the formula -b/2a
So,
-(-108)/2(0.6) = 108/1.2 = 90
Plugging this value into original function would give us the minimum (unit cost):