Answer:
1. translated 35 units to the right and 10 units upwards- y= square root of x
2. translated 5 units to the right and 2 units up- y= x squared
2. translated 4 units to the left and 3 units down- y= absolute value of x
Step-by-step explanation:
21 rounded to the nearest 10 is 20 :)
Answer:
$69.75
Step-by-step explanation:
Multiply $2.25 by 31 students
Answer:
Step-by-step explanation:
We are given that:
And we want to find F'(0).
First, find F(x):
![\displaystyle F'(x) = \frac{d}{dx}\left[ f(3x)]](https://tex.z-dn.net/?f=%5Cdisplaystyle%20F%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%5Cleft%5B%20f%283x%29%5D)
From the chain rule:
![\displaystyle \begin{aligned} F'(x) &= f'(3x) \cdot \frac{d}{dx} \left[ 3x\right] \\ \\ &= 3f'(3x)\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%20F%27%28x%29%20%26%3D%20f%27%283x%29%20%5Ccdot%20%5Cfrac%7Bd%7D%7Bdx%7D%20%5Cleft%5B%203x%5Cright%5D%20%5C%5C%20%5C%5C%20%26%3D%203f%27%283x%29%5Cend%7Baligned%7D)
Then:
In conclusion, F'(0) = 15.
Answer:
A
Step-by-step explanation:
An event that is not affected by other events. Example: tossing a coin. Heads or tails is not affected by previous tosses.
