Answer:
50 Minutes.
Step-by-step explanation:
The function c approximates the total number of calls made after m minutes since the start of the phone tree.
We need to find the number of minutes after which the total number of calls will 363.
Substitute c(m)=363 in the given function.
Multiply 3/2 both sides.
Add 1 on both sides.
On comparing both sides we get
Multiply both sides by 10.
Therefore, the total number of calls will 363 after 50 minutes since the start of the phone tree.
<u>ANSWER:</u>
The solution set for the inequality 7x < 7(x - 2) is null set
<u>SOLUTION:</u>
Given, inequality expression is 7x < 7 × (x – 2)
We have to give the solution set for above inequality expression in the interval notation form.
Now, let us solve the inequality expression for x.
Then, 7x < 7 × (x – 2)
7x < 7 × x – 2 × 7
7x < 7x – 14
7x – (7x – 14) < 0
7x – 7x + 14 < 0
0 + 14 < 0
14 < 0
Which is false, so there exists no solution for x which can satisfy the given equation.
So, the interval solution for given inequality will be null set
Hence, the solution set is