Here's a list of the changes and their effect:
![\begin{array}{c|c|c}\text{From}&\text{To}&\text{Effect}\\\cos(x)&\cos\left(x-\frac{\pi}{4}\right)&\text{Horizontal shift}\\\cos\left(x-\frac{\pi}{4}\right)&\cos\left(8\left(x-\frac{\pi}{4}\right)\right)&\text{Horizontal compression}\\\cos\left(8\left(x-\frac{\pi}{4}\right)\right)&0.35\cos\left(8\left(x-\frac{\pi}{4}\right)\right)&\text{Vertical compression}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bc%7Cc%7Cc%7D%5Ctext%7BFrom%7D%26%5Ctext%7BTo%7D%26%5Ctext%7BEffect%7D%5C%5C%5Ccos%28x%29%26%5Ccos%5Cleft%28x-%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cright%29%26%5Ctext%7BHorizontal%20shift%7D%5C%5C%5Ccos%5Cleft%28x-%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cright%29%26%5Ccos%5Cleft%288%5Cleft%28x-%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cright%29%5Cright%29%26%5Ctext%7BHorizontal%20compression%7D%5C%5C%5Ccos%5Cleft%288%5Cleft%28x-%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cright%29%5Cright%29%260.35%5Ccos%5Cleft%288%5Cleft%28x-%5Cfrac%7B%5Cpi%7D%7B4%7D%5Cright%29%5Cright%29%26%5Ctext%7BVertical%20compression%7D%5Cend%7Barray%7D)
So, the function is shifted
units to the right, then it is compressed by a factor 8 horizontally, and a factor 0.35 vertically.
Randomly select a chip from a bucket containing eight chips, whick are each uniquely labeled with each child's name
um I dunno because I need points to ask a question sorry
Answer:
12 minutes
Option D
Step-by-step explanation:
Given that circuar gears P and Q start rotating at the same time at constant speeds.
Gear P makes 10 revolutions per minute and Gear Q makes 40 revolutions per minute.
Both gears start at the same time.
No of rotations per minute are 10 and 40
Difference is 30 in one minute
For 6 difference we must have exactly 1/5 minutes
which equals 12 seconds.
In 1/5 minutes or 12 seconds gear P would have completed 2 revolutions while Gear Q would have completed 8 revolutions thus making difference as 6.
Answer:
3
Step-by-step explanation:
Plug in 6 for the y value. Solve for x.