Answer:
Option B.
Step-by-step explanation:
Option A.
f(x) = 
Derivative of the given function,
f'(x) = 
= ![(0.5)^x[\text{ln}(0.5)]](https://tex.z-dn.net/?f=%280.5%29%5Ex%5B%5Ctext%7Bln%7D%280.5%29%5D)
= 
Since derivative of the function is negative, the given function is decreasing.
Option B. f(x) = 
f'(x) = 
= ![(5)^x[\text{ln}(5)]](https://tex.z-dn.net/?f=%285%29%5Ex%5B%5Ctext%7Bln%7D%285%29%5D)
= 
Since derivative is positive, given function is increasing.
Option C. f(x) = 
f'(x) = 
= 
= 
Since derivative is negative, given function is decreasing.
Option D. f(x) = 
f'(x) = ![-15^{-x}[\text{ln}(15)]](https://tex.z-dn.net/?f=-15%5E%7B-x%7D%5B%5Ctext%7Bln%7D%2815%29%5D)
= 
Since derivative is negative, given function is decreasing.
Option (B) is the answer.
Answer: Slope is -1
Using the slope formula, we get
m = (y2 - y1)/(x2 - x1)
m = (0 - 4)/(2 - (-2))
m = (0 - 4)/(2 + 2)
m = -4/4
m = -1
What's going on here is that we subtract the y values 0 and 4 to get -4. This means that we dropped 4 units vertically to go from A to B. This is the rise. So rise = -4
The run is 4 because we moved 4 units to the right to go from A to B. This is found algebraically when we subtracted the x coordinates, so 2 - (-2) = 2 + 2 = 4.
Slope = rise/run = -4/4 = -1
You have the correct answer, assuming you wrote -1. I think your teacher just marked it wrong because you forgot to show steps.
Answer:
6 – x ft
Step-by-step explanation:
If a 6-foot board is cut in two pieces, both lengths could be anything that add up to 6 feet since the problem did not specify where the board was cut.
So if one piece is x feet long, the other must be 6 - x feet long because:
x + (6 – x) = 6
Answer:
-12
Step-by-step explanation:
h/6 -1 = -3
h - 6 = - 18
h = -18 + 6
h = -12
Answer:
8) 25.12
9) 15.07
10) 48.98
11) 1962.5
12) 20
13) r = 8.5
14) diameter: 72 radius: 36
