<h3>Answer:</h3>
x/tan(x) is an even function
sec(x)/x is an odd function
<h3>Explanation:</h3>
<em>x/tan(x)</em>
For f(x) = x/tan(x), consider f(-x).
... f(-x) = -x/tan(-x)
Now, we know that tan(x) is an odd function, so tan(-x) = -tan(x). Using this, we have ...
... f(-x) = -x/(-tan(x)) = x/tan(x) = f(x)
The relation f(-x) = f(x) is characteristic of an even function, one that is symmetrical about the y-axis.
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<em>sec(x)/x</em>
For g(x) = sec(x)/x, consider g(-x).
... g(-x) = sec(-x)/(-x)
Now, we know that sec(x) is an even function, so sec(-x) = sec(x). Using this, we have ...
... g(-x) = sec(x)/(-x) = -sec(x)/x = -g(x)
The relation g(-x) = -g(x) is characeristic of an odd function, one that is symmetrical about the origin.
Answer:
They gave away 75 tickets to the listeners and 25 to the employees.
Step-by-step explanation:
If you think about it the function for this would be f(x)=3x+x=100.
3x is the listeners while x is the employees. A simplified version of solving this is doing 100/4 and then 25 times 1 is 25, which is the number of tickets to emplyees.
The answer is x-1, hope that helps
I am going to assume these are points across the same line. (line segments)
If so, then jk + kl = jl
If jk is 6x and kl is 3x, we can solve for x.
6x + 3x = 27 (note we subbed 27 in for jl)
9x = 27 (divide both sides by 9 to leave on x on the left)
x = 3
CHECK! sub 3 in for x in the original problem.
6 (3) + 3 (3) = 27
18 + 9 = 27
Yes! It checks. x = 3