Your answer is D. All of these statements are true.
Answer:
6
Step-by-step explanation:
fog(x) = √3(x-6)
Domain => 3(x-6) ≥ 0
<=> x-6≥ 0
=> x ≥ 6
so, the smallest number is 6
Problem
Solution
For this case we know that the vertex is given by (3,6) and the genera equation for a parabola is given by:
y= a(x-h)^2 +k
Where h = 3, k=6 and replacing we have:
y= a(x-3)^2 +6
And we can find the value of a with the point given x= 4, y=4
4= a(4-3)^2 +6
4= a +6
a= 4-6=-2
And the correct equation would be:
d. y= -2(x-3)^2 +6
You're right, that's the required operation.
![\frac{184}{12.4}=15.08](https://tex.z-dn.net/?f=%20%5Cfrac%7B184%7D%7B12.4%7D%3D15.08)
Because they want to know how many glasses can be full, the answer is 15.