Answer:
They would have the bike for 1.7 hours
Step-by-step explanation:
The bike is rented at a charge of $5 for every half an hour,this can be expressed as:
$5 per 0.5 hours, to calculate the time one will have the bike if they pay $17
The amount of paid=Standard Rate per 1/2 of an hour/Number of hours
where;
The amount paid=$17
Standard Rate per 1/2 an hour=$5/0.5
Number of hours
Replacing;
n=(17×0.5)/5=1.7 hours
Answer:
AB = 30 & BD = 16
Step-by-step explanation:
Multiply all sides by two
The rational root are x= 7,-3,-6
You can find them by substituting y for 0
Answer:
Option B.
Step-by-step explanation:
Option A.
f(x) = ![(0.5)^{x}](https://tex.z-dn.net/?f=%280.5%29%5E%7Bx%7D)
Derivative of the given function,
f'(x) = ![\frac{d}{dx}(0.5)^x](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%280.5%29%5Ex)
= ![(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)
= ![-(0.693)(0.5)^{x}](https://tex.z-dn.net/?f=-%280.693%29%280.5%29%5E%7Bx%7D)
Since derivative of the function is negative, the given function is decreasing.
Option B. f(x) = ![5^x](https://tex.z-dn.net/?f=5%5Ex)
f'(x) = ![\frac{d}{dx}(5)^x](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%285%29%5Ex)
= ![(5)^x[\text{ln}(5)]](https://tex.z-dn.net/?f=%285%29%5Ex%5B%5Ctext%7Bln%7D%285%29%5D)
= ![1.609(5)^x](https://tex.z-dn.net/?f=1.609%285%29%5Ex)
Since derivative is positive, given function is increasing.
Option C. f(x) = ![(\frac{1}{5})^x](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B5%7D%29%5Ex)
f'(x) = ![\frac{d}{dx}(\frac{1}{5})^x](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%28%5Cfrac%7B1%7D%7B5%7D%29%5Ex)
= ![\frac{d}{dx}(5)^{(-x)}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%285%29%5E%7B%28-x%29%7D)
= ![-5^{-x}.\text{ln}(5)](https://tex.z-dn.net/?f=-5%5E%7B-x%7D.%5Ctext%7Bln%7D%285%29)
Since derivative is negative, given function is decreasing.
Option D. f(x) = ![(\frac{1}{15})^x](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B15%7D%29%5Ex)
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)
= ![-2.708(15)^{-x}](https://tex.z-dn.net/?f=-2.708%2815%29%5E%7B-x%7D)
Since derivative is negative, given function is decreasing.
Option (B) is the answer.