Aresort had 380 rooms with space for 6 people. estimate the greatest number of people who could be in these rooms at the same time.

2400 people.

Step-by-step explanation:

1. To solve this problem you must round 380 to its greatest place.

2.  As you can see, 380 is closer to 400, therefore, you can round it up to 400.

3. Keeping this on mind, you must multiply 400 rooms by 6 people, as following:

4. Therefore, as you can see, the result indicates that the greatest number of people who could be in these rooms at the same time is 2400.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this