11. y=-1/3x-4
Plug the slope into m in y=mx+b and then plug in your point and solve for b. You get C
12. Parallel means it has the same slope or the same m, so the -1/2 stays the same and you plug that and your point into the y=mx+b and solve for b again. You get D, y=-1/2x-9
13. Perpendicular means that the slope is the opposite reciprocal so you flip it and multiply it by -1. You then plug that in for your slope and plug in your points and you get A, y=9x+13
Answer:
The inner function is 
and the outer function is 
.
The derivative of the function is 
.
Step-by-step explanation:
A composite function can be written as 
, where 
and 
are basic functions.
For the function 
.
The inner function is the part we evaluate first. Frequently, we can identify the correct expression because it will appear within a grouping symbol one or more times in our composed function.
Here, we have 
inside parentheses. So is the inner function and the outer function is .
The chain rule says:
![\frac{d}{dx}[f(g(x))]=f'(g(x))g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%3Df%27%28g%28x%29%29g%27%28x%29)
It tells us how to differentiate composite functions.
The function is the composition, , of
outside function:
inside function:
The derivative of this is computed as
The derivative of the function is .
Select the correct answer. What is the mode of this data set? {41, 43, 45, 3, 11, 23, 24, 27, 29, 45, 12, 19, 22, 49, 25}
klemol [59]
The mode is the number in the set that appears the most.
In the given data set, the number 45 is listed twice while all the other numbers are only listed once.
The mode is 45.
Formula for the area of a quarter circle: A = (pi x r^2) / 4
A = (pi x 1^2) / 4
A = 1pi / 4
A = 0.79 square centimeters
Hope this helps! :)
Float
because the water weighs more so it will hold it.
