Answer:
5/6
Step-by-step explanation:
780 students prefer chocolate milk.
Step-by-step explanation:
Let,
the total percentage = 100%
Students who prefer plain white milk = 35%
Students who prefer chocolate milk = 100 - 35 = 65%
Number of students = 1200
No. of students who prefer chocolate milk = 65% of total students
No. of students who prefer chocolate milk = 
No. of students who prefer chocolate milk = 
No. of students who prefer chocolate milk = 780
780 students prefer chocolate milk.
Keywords: percentage, subtraction
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To check for continuity at the edges of each piece, you need to consider the limit as
approaches the edges. For example,

has two pieces,
and
, both of which are continuous by themselves on the provided intervals. In order for
to be continuous everywhere, we need to have

By definition of
, we have
, and the limits are


The limits match, so
is continuous.
For the others: Each of the individual pieces of
are continuous functions on their domains, so you just need to check the value of each piece at the edge of each subinterval.
Answer:
-2/5, -1/2, -1, -4/3
Step-by-step explanation: