The height h given above is a quadratic function. The graph of h as a function of time t gives a parabolic shape and the maximum height h occur at the vertex of the parabola. For a quadratic function of the form h = a t² + bt + c, the vertex is located at t = - b / 2a. Hence for h given above the vertex in the question s(t) = 124 + 64t − 16t², is at t

t = -64/2(-16) = 64/32 = 2 seconds

Thus, 2 seconds after the object was thrown, it reaches its highest point (maximum value of h) which is given by

h = -16(2)² + 64 (2) + 124 = 246eet

6 0

2 years ago

Ashton used 12.6 gallons of gasoline to drive his car on a weekend trip. he averaged 21.5 miles per gallon. about how many miles

7nadin3 [17]

Answer: 270.9 miles.

Step-by-step explanation:

The formula we use here is :

$\text{Distance=Speed * Number of gallons of gasoline}$

Given : Ashton used 12.6 gallons of gasoline to drive his car on a weekend trip. he averaged 21.5 miles per gallon.

Then $\text{Distance traveled }=12.6\times21.5=270.9\text{ miles}$

Hence, he traveled 270.9 miles.

4 0

3 years ago