Option B
Step-by-step explanation:
It is established that a line perpendicular to the x-axis is parallel to the y-axis. Thus, the equation of such a line adopts the form x=(+/-)a, indicating an undefined slope, where a represents a real number. Therefore, the line x=6 is perpendicular to the x-axis.
Response:
Move 2 units to the left
Reflect the graph across the y-axis
Expand horizontally by a factor of 2
Lift vertically by 2 units
Detailed explanation:
Provided:
Basic function: 
Transformed function: 
Extract -2 from the transformation function f(x)
![f(x)=\log[-2(x+2)]+2](https://tex.z-dn.net/?f=f%28x%29%3D%5Clog%5B-2%28x%2B2%29%5D%2B2)
Now, we can observe the step-by-step transformations

Move 2 units to the left ( x → x+2 )

Reflect the graph across the y-axis ( (x+2) → - (x+2) )
![f(x)=\log[-(x+2)]](https://tex.z-dn.net/?f=f%28x%29%3D%5Clog%5B-%28x%2B2%29%5D)
Expand horizontally by a factor of 2 [ -x(x+2) → -2(x+2) ]
![f(x)=\log[-2(x+2)]](https://tex.z-dn.net/?f=f%28x%29%3D%5Clog%5B-2%28x%2B2%29%5D)
Lift vertically by 2 units [ f(x) → f(x) + 2 ]
![f(x)=\log[-2(x+2)]+2](https://tex.z-dn.net/?f=f%28x%29%3D%5Clog%5B-2%28x%2B2%29%5D%2B2)
Simplifying the function:

Thus, applying four transformation steps results in the new function 
Answer:
214
Step-by-step explanation:
The dimensions of the playing field are 53.33 yards wide and 120 yards long, requiring us to compute the area by multiplying 53.33 by 120 yards. This results in 6399.6. The thickness being applied is 1.2 millimeters. To find how many containers are needed, divide the area, 6399.6 by 1.2 which equals 5333. Finally, dividing that by 25 gallons gives us 213.32, so you need to buy 214 rounded.
Let X be the amount of 90% alloy and Y be the amount of 70% alloy. The equations are: x + y = 60 0.9x + 0.7y = 0.85 * 60 By substituting, we have: 0.9x + 0.7(60 - x) = 0.85 * 60 This simplifies to: (0.9 - 0.7)x = (0.85 - 0.7)*60 Solving for x yields: x = (0.85 - 0.7)*60/(0.9 - 0.7) x = 45 ounces For Y, we find: y = 60 - 45 y = 15 ounces