A ball is thrown straight up from the top of a building that is 400 ft high with an initial velocity of 64 ft/s. The height of the object can be modeled by the equation s(t) = -16t^2 + 64t + 400. In two or more complete sentences explain how to determine the time(s) the ball is higher than the building in interval notation.

This type of essay answer is pretty short.

You play out the equation and say what each part of the equation means.  The vertex in this case, because it's a downward facing parabola, is the highest point on the graph.  Now since they're kicking a ball, the vertex will be the highest point that the ball will go up to.

Hopefully this helps some.  For full points you'll probably have to add a bit of padding and further explanation.

Step-by-step explanation:

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.