Which of the following is the graph of y = 0.5 sec (X +pi/3 ) -2
1 answer:
Answer:
See answers and explanations below (along with a graph)
Step-by-step explanation:
<u>For a secant function y = a * sec(bx + c) + d:</u>
Period: 2π/|b|
Phase shift: -c/b
Midline: d
Amplitude: |a|
<u>For the given function y = 0.5sec(x + π/3) - 2: </u>
Period: 2π (cycle repeats every 2π units)
Phase shift: -π/3 (π/3 units to the left of the parent function)
Midline: d = -2
Amplitude: a = 0.5
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Answer:
The number of students that bring their lunches is 12
Step-by-step explanation:
Let
x -----> the number of students that bring their lunches
y -----> the total number of students in a class
we know that
The number of students that bring their lunches divided by the total number of students in a class must be equal to 3/8
-----> equation A
-----> equation B
substitute the value of y in equation A and solve for x
therefore
The number of students that bring their lunches is 12