Answer:
$41 - $a =$ 10
Step-by-step explanation:
$41 - $a =$ 10
$a = $ 41 - $10
$a= $ 31
Answer:
120
Step-by-step explanation:
We are given that the function for the number of students enrolled in a new course is
.
It is asked to find the average increase in the number of students enrolled per hour between 2 to 4 hours.
We know that the average rate of change is given by,
,
where f(x)-f(a) is the change in the function as the input value (x-a) changes.
Now, the number of students enrolled at 4 = f(4) =
= 255 and the number of students enrolled at 2 = f(2) =
= 15
So, the average increase
=
=
= 120.
Hence, the average increase in the number of students enrolled is 120.
Answer:
No, the two sets are not disjoint.
Step-by-step explanation:
Set of triangular numbers to 50: 1, 3, 6, 10, 15, 21, 28, 36, 45
Set of square numbers to 50: 1, 4, 9, 16, 25, 36, 49
They have 1 and 36 in common, so they are not disjoint, or in other words, they have some of the same numbers.