Answer:
Step-by-step explanation:
A is correct. csc x = 1/ sin x
B is correct. y = sin x is a continuous funtion, for all real numbers, x
C is correct. The function y = sin x is a periodic function, and the cycle repeats every 2 radians (or 360°).
D is incorrect. It doesn't actually say anything false, but it does not accurately describe the behavior of the sine function. Look at the graphic I have attached. If you start at the origin, you see y = 0, then increases to 1 when x = π/2, <u>then decreases back to zero when x = π,</u> then decreases even more to -1 when x = 3π/2, then increases back up to zero when x = 2π.
Answer D leaves out the underlined part.
Hope this helps.
Answer:
Let Lance represented by L and Nick represented by N
As per the statement:
Lance has three times as many pencils as Nick
⇒ .....[1]
It is also given that:
They have 84 pencils together.
⇒ .....[2]
Substitute the equation [1] into [2] we have;
⇒
Divide both sides by 4 we have;
N = 21
Substitute this in [1] we have;
L = 3(21) = 63
Therefore, Lance has 63 pencils and Nick has 21 pencils