Answer:
slope is change in rise(y) over change in run (x), change in y here is 36 and change in x is 2, slope is 36/2=18
Answer:
B
Step-by-step explanation:
When we have a horizontal translation on the x-axis, it means the translation in question would be affecting only the x component of our function
With respect to the question, what we have here is that we are going to take out some values from x (or add some values) to it
Thus;
f(x) = x^2 would be;
g(x) = (x-4)^2
Corresponding to a shift to the right of upto 4 units on the x axis
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.
Work: 5√2 + √18
First you must find the largest perfect square in √18:
The perfect square happens to be 9
√18 => 9√2
You must then simplify 9 since it is a perfect square:
9√2 => 3√2
Then you must add both terms together:
5√2 + 3√2 = 8√2
Answer: 8√2 or 8 square root 2
I hope this helps you!
