F(x) is the function that represents a given equation. It is defined more specifically by rules or conditions to satisfy the whole formula/equation.
In this case, f(x) has an inverse proportion with x (e.g. f(x) = 1/x). The second parameter says that f(x) = -15 when x is 30. Given that condition, just look for the formula, among the choices, that will result to -15 when x = 30. The answer is:
D. f(x) = -450/x
This is just -450/30 = -15
If it’s 15 per hour then the answer is 15
Mean: To find the mean you add all the numbers up and divide by the total number of factors.
12+10+10+13+18+9 = 72
72/6 = 12
Mode: To find the mode, we need to find the number that reoccurs the most in the sequence.
In this case it is 10 because it occurs twice, while the other factors occur once!
Median: To find median we need to arrange the numbers in numerical order. We then cross off one from each side until we come to the middle interger. If it comes between two numbers, you use the half way point between those two numbers.
9 10 10 12 13 18
In this case, we get left with 10 and 12. Meaning that our median is 11!
Answer:
![x=3\sqrt 5\\](https://tex.z-dn.net/?f=%20x%3D3%5Csqrt%205%5C%5C)
![y = \sqrt {126}](https://tex.z-dn.net/?f=y%20%3D%20%5Csqrt%20%7B126%7D)
Step-by-step explanation:
By geometric mean property:
![x = \sqrt{9 \times 5} = \sqrt{45} = 3 \sqrt{5} \\ \\ by \: pythagoras \: theorem \\ \\ {y}^{2} = {9}^{2} + {x}^{2} \\ \\ {y}^{2} = {9}^{2} + {(3 \sqrt{5}) }^{2} \\ \\ {y}^{2} = 81 + 45 \\ \\ {y}^{2} = 126 \\ \\ y = \sqrt{126}](https://tex.z-dn.net/?f=x%20%3D%20%20%5Csqrt%7B9%20%5Ctimes%205%7D%20%20%3D%20%20%5Csqrt%7B45%7D%20%3D%203%20%5Csqrt%7B5%7D%20%20%20%5C%5C%20%20%5C%5C%20by%20%5C%3A%20pythagoras%20%5C%3A%20theorem%20%5C%5C%20%20%5C%5C%20%20%7By%7D%5E%7B2%7D%20%20%3D%20%20%7B9%7D%5E%7B2%7D%20%20%2B%20%20%7Bx%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%7By%7D%5E%7B2%7D%20%20%3D%20%20%7B9%7D%5E%7B2%7D%20%20%2B%20%20%7B%283%20%5Csqrt%7B5%7D%29%20%7D%5E%7B2%7D%20%20%5C%5C%20%20%5C%5C%20%20%7By%7D%5E%7B2%7D%20%20%3D%2081%20%2B%2045%20%5C%5C%20%20%5C%5C%20%20%7By%7D%5E%7B2%7D%20%20%3D%20126%20%5C%5C%20%20%5C%5C%20y%20%3D%20%20%5Csqrt%7B126%7D%20)
It can be found by using the formula,
an = a+(n-1)d