Answer:
Period is 2π
Horizontal shift = 0
Step-by-step explanation:
We know that 
and as 
, so, we can write 
Therefore, the if 
then (Answer)
Now, the period of 
is 2π, hence the period of 
is also 2π. (Answer)
Again. 
, hence, the horizontal shift of is 0. (Answer)
Answer:
$(400+80x)
Step-by-step explanation:
We are required to find the total income on Friday Night
Ticket costs $5 each and they sold 80 tickets
Total ticket Sales = 80 X $5 =$400
There was a donation of $x per ticket, so for 80 tickets, there was a donation of $80x.
Total Income on Friday Night=Ticket Sale+Donations= $(400+80x)
A^2+b^2=(a+b) (a-b)
Let a^2=x^2 then a^2= x^2
Let b^2=63 them b^2= 64
b=8
Answer: (x+8) (x-8)
Use the rule of 3, note that we will convert the hours to minutes:
60 - 84
75 - x
(75 * 84) / 60 = x
6,300 / 60 = x
105 = x
105 minutes = 1h 45m
Hope it helped,
Happy homework/ study/ exam!
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