A basketball free throw can be modeled by a parabolic path, which can be represented by the function b(x) = - 0.25 x^2 + 4x, where x is time, in seconds, and b(x) is the height of the ball off the ground in feet. What is the VERTEX and what do the coordinates mean in the context of the problem?

please solve algebraically

The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

It's vertex is the point

In which

Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is .

b(x) = - 0.25 x^2 + 4x

Quadratic equation with .

Vertex:

The vertex of this problem is (8,16). This means that the highest height the ball reaches is at t = 8s, and this maximum height is of 16 feet.

answer: first option i.e. 'a' is correct.

step-by-step explanation:

since we have given that

number of minutes to wrap a small gift box = 4 minutes

we need to find the number of gifts to be wrapped in 5 minutes

since there is a direct variation, as the number of minutes will increase with   number of gifts to be wrapped.

so, let the number of gifts to be wrapped in 5 minutes be x.

so, it becomes,

hence, first option 'a'   is correct.

17

step-by-step explanation:

51/3=17

thus 17 is your answer.