A player hits a second baseball. The second baseballs path is modeled by the function g (t) = -16(t-4)^2 + 256. Which baseball has a greater maximum height? Which baseball is in the air for the longest?

1). Maximum height achieved by the baseball = 256 units

2). duration for which baseball is in the air = 8 seconds

Step-by-step explanation:

A player hits a second baseball. Path of the baseball is defined by the function g(t) = -16(t - 4)² + 256

By comparing this equation with the quadratic function,

f(x) = a(x - h)² + k

Here, (h, k) is the vertex of the given equation.

Vertex of the given equation → (4, 256)

Therefore, maximum height the baseball can each = 256 units

And time taken to reach the maximum height = 4 seconds

So the duration of time in which baseball is in the air = Time taken to reach the maximum height + Time taken to come down from maximum height

= 4 + 4

= 8 seconds

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.