How do I do the math for this I haven't been taught. A basketball is thrown upward from a height of 6 feet at an initial speed of 15 feet per second. As the basketball travels, Earth's gravity slows it down.

The height of an object dropped from a height of 6 feet is given by h(t)=−16t2+6.

The distance in feet traveled by an object at a constant speed of 15 feet per second is given by d(t)=15t.

These two functions can be combined to build a new function, f, that models the height of the basketball as a function of time in t seconds.

Which choice shows how to combine h and d to build f

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is

i believe the answer is 323 ft

step-by-step explanation: