So Roger flight left at exactly 9.27:am and it will land at 1:05pm
So count on to 12:27 will be 3 hours and subtract from 5 because 65 is 05 3hours and 38mins
A U B = {1, 2, 3, 4, 5, 6, 7}
Step-by-step explanation:
- Step 1: Find A U B. Union of two sets A and B are the set of all elements in set A and set B.
A = {1, 2, 5, 7} and B = {3, 4, 6, 7}
A U B = {1, 2, 3, 4, 5, 6, 7}
now, if the denominator turns to 0, the fraction becomes undefined, and you get a "vertical asymptote" when that happens, so let's check when is that
![\bf sin\left(x-\frac{2\pi }{3} \right)=0\implies sin^{-1}\left[ sin\left(x-\frac{2\pi }{3} \right) \right]=sin^{-1}(0) \\\\\\ x-\frac{2\pi }{3}= \begin{cases} 0\\ \pi \end{cases}\implies \measuredangle x= \begin{cases} \frac{2\pi }{3}\\ \frac{5\pi }{3} \end{cases}](https://tex.z-dn.net/?f=%5Cbf%20sin%5Cleft%28x-%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%20%20%5Cright%29%3D0%5Cimplies%20sin%5E%7B-1%7D%5Cleft%5B%20sin%5Cleft%28x-%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%20%20%5Cright%29%20%5Cright%5D%3Dsin%5E%7B-1%7D%280%29%0A%5C%5C%5C%5C%5C%5C%0Ax-%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%3D%0A%5Cbegin%7Bcases%7D%0A0%5C%5C%0A%5Cpi%20%0A%5Cend%7Bcases%7D%5Cimplies%20%5Cmeasuredangle%20x%3D%0A%5Cbegin%7Bcases%7D%0A%5Cfrac%7B2%5Cpi%20%7D%7B3%7D%5C%5C%0A%5Cfrac%7B5%5Cpi%20%7D%7B3%7D%0A%5Cend%7Bcases%7D)
now, at those angles, the function is asymptotic, check the picture below
Percent change = (new number - old number)/(old number) * 100
percent change = (54 - 48)/(48) * 100 = 6/48 * 100 = 0.125 * 100 = 12.5%
Solution:
<u>In this case, we are given:</u>
- Equation: y = -2x
- Slope = -2
- y-intercept = 0
Looking at Option A, we can tell that its <u>slope is -2 and y-intercept is 0.</u>
Since this is matching with the info we are given, Option A is correct.
