Answer:
d) $1887.20
Step-by-step explanation:
$16.85 x 7 = $117.95
$117.95 x 4 = $471.80
$471.80 x 4 = $1887.20
Answer:
![\displaystyle (f - g)(x) = -x^2 + 2x + 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28f%20-%20g%29%28x%29%20%3D%20-x%5E2%20%2B%202x%20%2B%208)
Step-by-step explanation:
We are given the two functions:
![\displaystyle f(x) = 2x + 1 \text{ and } g(x) = x^2 - 7](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%20%3D%202x%20%2B%201%20%5Ctext%7B%20and%20%7D%20g%28x%29%20%3D%20x%5E2%20-%207)
And we want to find:
![\displaystyle (f- g)(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28f-%20g%29%28x%29)
Recall that:
![\displaystyle (f - g)(x) = f(x) - g(x)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28f%20-%20g%29%28x%29%20%3D%20f%28x%29%20-%20g%28x%29)
Substitute and simplify:
![\displaystyle \begin{aligned}(f-g)(x) &= f(x) - g(x) \\ \\ &= (2x + 1) - (x^2 - 7) \\ \\ &= (2x +1 )+ (-x^2 + 7) \\ \\ &= -x^2 +2x + 8\end{aligned}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%5Cbegin%7Baligned%7D%28f-g%29%28x%29%20%26%3D%20f%28x%29%20-%20g%28x%29%20%5C%5C%20%5C%5C%20%26%3D%20%20%282x%20%2B%201%29%20%20-%20%28x%5E2%20-%207%29%20%5C%5C%20%5C%5C%20%26%3D%20%282x%20%2B1%20%29%2B%20%28-x%5E2%20%2B%207%29%20%5C%5C%20%5C%5C%20%26%3D%20-x%5E2%20%2B2x%20%2B%208%5Cend%7Baligned%7D)
In conclusion:
![\displaystyle (f - g)(x) = -x^2 + 2x + 8](https://tex.z-dn.net/?f=%5Cdisplaystyle%20%28f%20-%20g%29%28x%29%20%3D%20-x%5E2%20%2B%202x%20%2B%208)
Answer: Add all the absolute deviations and divide by number of swimmers.
Step-by-step explanation:
To find the mean absolute deviation of any data we need to follow the following steps:
- Start by finding the mean of the data set.
- Find the absolute value of the difference between each data value and the mean.
- Find the sum of the absolute values of the differences.
- Divide the sum of the absolute values of the differences by the number of data values.
We can see in the picture that it already dome with first two steps so the step after that is " Add all the absolute deviations and divide by number of swimmers."
Yes, it is possible. Ray AB may be a common ray to two angles, and one angle is inside the other angle, so they are not adjacent but do have a common side.