Answer: 16 double rooms and 10 single rooms were rented.
Step-by-step explanation:
Let x represent the number of double rooms that were rented.
Let y represent the number of single rooms that were rented.
The total number of rooms rented in a day is 26. It means that
x + y = 26
A motel rents double rooms at $34 per day and single rooms at $26 per day. If all the rooms that were rented for one day cost a total of $804, it means that
34x + 26y = 804 - - - - - - - - - - -1
Substituting x = 26 - y into equation 1, it becomes
34(26 - y) + 26y = 804
884 - 34y + 26y = 804
- 34y + 26y = 804 - 884
- 8y = - 80
y = - 80/ - 8 = 10
x = 26 - y = 26 - 10
x = 16
Answer:
![p'(4) = -3](https://tex.z-dn.net/?f=p%27%284%29%20%3D%20-3)
![q'(8) = \frac{1}{4}\\](https://tex.z-dn.net/?f=q%27%288%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D%5C%5C)
Step-by-step explanation:
For p'(4):
![p(x) = f(x)g(x) \\ p'(x) = \frac{d}{dx}(f(x)g(x)) \\ p'(x) = f'(x)g(x) +f(x)g'(x)](https://tex.z-dn.net/?f=p%28x%29%20%3D%20f%28x%29g%28x%29%20%5C%5C%20p%27%28x%29%20%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%28f%28x%29g%28x%29%29%20%5C%5C%20p%27%28x%29%20%3D%20f%27%28x%29g%28x%29%20%2Bf%28x%29g%27%28x%29)
![p'(4) = f'(4)g(4) + f(4)g'(4) \\ p'(4) = (-1)(3) +(7)(0) \\ p'(4) = -3](https://tex.z-dn.net/?f=p%27%284%29%20%3D%20f%27%284%29g%284%29%20%2B%20f%284%29g%27%284%29%20%5C%5C%20p%27%284%29%20%3D%20%28-1%29%283%29%20%2B%287%29%280%29%20%5C%5C%20p%27%284%29%20%3D%20-3)
For q'(8):
![q(x) = \frac{f(x)}{g(x)} \\ q'(x)= \frac{d}{dx}(\frac{f(x)}{g(x)}) \\ q'(x) = \frac{f'(x)g(x) -f(x)g'(x)}{{g(x)}^2}](https://tex.z-dn.net/?f=q%28x%29%20%3D%20%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%20%5C%5C%20q%27%28x%29%3D%20%5Cfrac%7Bd%7D%7Bdx%7D%28%5Cfrac%7Bf%28x%29%7D%7Bg%28x%29%7D%29%20%5C%5C%20q%27%28x%29%20%3D%20%5Cfrac%7Bf%27%28x%29g%28x%29%20-f%28x%29g%27%28x%29%7D%7B%7Bg%28x%29%7D%5E2%7D)
![q'(8) = \frac{f'(8)g(8) -f(8)g'(8)}{{g(8)}^2} \\ q'(8) = \frac{(2)(2) -(6)(\frac{1}{2})}{{2}^2} \\ q'(8) = \frac{4 -3}{4} \\ q'(8) = \frac{1}{4}](https://tex.z-dn.net/?f=q%27%288%29%20%3D%20%5Cfrac%7Bf%27%288%29g%288%29%20-f%288%29g%27%288%29%7D%7B%7Bg%288%29%7D%5E2%7D%20%5C%5C%20q%27%288%29%20%3D%20%5Cfrac%7B%282%29%282%29%20-%286%29%28%5Cfrac%7B1%7D%7B2%7D%29%7D%7B%7B2%7D%5E2%7D%20%5C%5C%20q%27%288%29%20%3D%20%5Cfrac%7B4%20-3%7D%7B4%7D%20%5C%5C%20q%27%288%29%20%3D%20%5Cfrac%7B1%7D%7B4%7D)
It is answer choice B. Using the distributive property, -12x^3+15x^2-24x-6x^2+30x-42. Then combine like terms.
Answer: The standard deviation formula may look confusing, but it will make sense after we break it down. ...
Step 1: Find the mean.
Step 2: For each data point, find the square of its distance to the mean.
Step 3: Sum the values from Step 2.
Step 4: Divide by the number of data points.
Step 5: Take the square root.
Step-by-step explanation:
220miles / 4 hours = 55 miles/hr
55mi/hr x 7hrs = 385 miles