Help find the perimeter! Please help! (30 points)
2 answers:
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Answer:
C)
Step-by-step explanation:
Given:
Number of freshmen = 3
Number of sophomores =3
Number of juniors =3
Number of seniors = 3
The team's captain is randomly selected from any grade level.
To find the the probability that a freshman will not be selected as captain.
Solution:
Total number of members in the team = = 12
Probability that a freshman will be selected as captain will be:
⇒
⇒
Reducing to simple fraction by dividing numerator and denominator by 3.
⇒
⇒
Thus, probability that a freshman will not be selected as captain will be given as:
⇒
Taking LCD.
⇒
Subtracting the numerators.
⇒ (Answer)
Consider the parent function, 
.
The function f, takes a number x, and produces the square root of it, for example we have the points:
(1, 1), (4, 2), (25, 5), (100, 10).
The function
, takes a value x, subtracts it 5, and then produces the square root of this difference.
So to produce the values 1, 2, 5, 10 given in the previous function, we need to
plug in the function not 1, 4, 25, and 100, but 6, 9, 30, 105.
Comparing : (1, 1), (4, 2), (25, 5), (100, 10) of (x, f(x)) with
(6, 1), (9, 2), (30, 5), (105, 10) of (x, g(x)),
we see that the graph of g is the same as the graph of f shifted 5 units right.
In general, the graph of y=f(x-a), where a is a positive number, is the graph of y=f(x) shifted a units right.
Answer: C
The function f, takes a number x, and produces the square root of it, for example we have the points:
(1, 1), (4, 2), (25, 5), (100, 10).
The function
So to produce the values 1, 2, 5, 10 given in the previous function, we need to
plug in the function not 1, 4, 25, and 100, but 6, 9, 30, 105.
Comparing : (1, 1), (4, 2), (25, 5), (100, 10) of (x, f(x)) with
(6, 1), (9, 2), (30, 5), (105, 10) of (x, g(x)),
we see that the graph of g is the same as the graph of f shifted 5 units right.
In general, the graph of y=f(x-a), where a is a positive number, is the graph of y=f(x) shifted a units right.
Answer: C