Answer:
Step-by-step explanation:12 customers per hour..
4minutes per customer..
Time customers must wait= 12customers ×4minutes =48 minutes.. The clerk use 48minutes to attend to 12customers in one hour leaving him with 12spare minutes.
(B)since the clerk has 12 minute to spare it means each customer have a minute to wait before getting attention..
(C)number of customers waiting =12/2=6customers...
Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Given the functions expressed as:

In order to check whether they are inverses of each other, we need to show that h(g(x)) = g(h(x))
Get the composite function h(g(x))

Get the composite function g(h(x))

Since g(h(x))=h(g(x))= x, hence functions h and g are inverses of each other
Learn more on inverse functions here; brainly.com/question/14391067
The answer is 140 peanut bars
Answer:
Step-by-step explanation:
<u>Given polynomial:</u>
- x¹⁹ + x¹⁷ + x¹³ + x⁷ + x⁵ + x³
<u>Group as follows:</u>
- (x¹⁹ + x¹⁷) + (x¹³ + x¹¹) + (x⁷ + x⁵) + (x³ + x) - x =
- x¹⁷(x² + 1) + x¹¹(x² + 1) + x¹⁵(x² + 1) + x(x² + 1) - x
As we see all terms have (x² + 1) as factor apart from the last one.
It means the remainder is - x
Correct choice is C