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:
12
Step-by-step explanation:
6y - 3z
6(4) - 3(4)
24 - 12
12
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Yes because it is linear, also if you set up the proportion 2/4=1/2 they are equal.
Answer:
5, -12, -3
Step-by-step explanation:
A constant is a number by itself. Here, you can see that 5X is paired with a letter, that means that 5X is not a constant. So you could say that any whole number is a constant number and in this problem, 5, -12 and -3 are all the constant numbers in this expression.
Answer:
Infinitely many solutions.
Explanation:
In this case we gonna use ELIMINATION BY ADDITION method.For that first we are gonna eliminate the terms containing ( X ).
Equation no 1:
3x + 3y = 10
Equation no 2:
-9x - 9y = -30
Now multiply equation no 1 with (3 )
3(3x + 3y) = 3(10)
9x + 9y = 30 ( equation no 1 )
Now ADD both the equations
9x + 9y = 30
<u> -9x - 9y =-30</u>
0 = 0