Answer:
147
Step-by-step explanation:
whoa chill
114+33=147
180-147=33
180-33=147
We know that this ratio is directly because the two magnitudes go up.
In this case we will get the <u>proportionality constant</u> by dividing any term of the second magnitude by the first.
<h3>For example: </h3>
![9 \: \div \: 3 \: = \: \boxed{3}](https://tex.z-dn.net/?f=9%20%5C%3A%20%20%5Cdiv%20%20%5C%3A%20%203%20%5C%3A%20%20%3D%20%20%5C%3A%20%20%5Cboxed%7B3%7D)
Now that we know that k = 3, we can know how much "<u>y</u>" will be if <em>x = 5</em>.
We just multiply:
![3 \: \times \: 5 \: = \: \boxed{ \bold{ 15}}](https://tex.z-dn.net/?f=3%20%5C%3A%20%20%5Ctimes%20%20%5C%3A%205%20%5C%3A%20%20%3D%20%20%5C%3A%20%5Cboxed%7B%20%5Cbold%7B%2015%7D%7D)
<h3>Answer: <u>y = 15</u></h3>
F ( x ) = - 2 x² + 12 x + 5 = - 2 ( x² - 6 x ) + 5 = - 2 ( x² - 6 x + 9 - 9 ) + 5 =
- 2 ( x² - 6 x + 9 ) + 18 + 5 = - 2 ( x - 3 )² + 23
f ( x ) = a ( x - k )² + h ( the vertex form ), k = 3, h = 23.
a = - 2 < 0, that means the vertex coordinates ( 3, 23 ) represents a maximum.