Avolleyball player sets the ball in the air, and the height of the ball after t seconds is given in feet by h= -16^2+12t+6. a teammate wants to wait until the ball is 8 feet in the air before she spikes it. when should the teammate spike the ball? how many reasonable solutions to this problem are there?

Step-by-step explanation:

The given function is

The graph of this function is a parabola that opens downwards

The line intersects this parabola, when

The teammate can spike the ball after 0.25 seconds or 0.5 seconds.

The two solutions are reasonable. When the volleyball is accelerating into the air, it passes a height of 8 after 0.25 seconds.

When the ball is dropping after it attains maximum height, it attains another height of 8 after 0.5 seconds again.

system of linear equation

step-by-step explanation:

as given in the data

a= 20 , b= -12

let us suppose that it is a straight line equation

now we know the formula for the system of linear equation

b= ma + c )

here m is slope of a straight line which is equal to formula

m=   (ii)

and here c is a constant

now putting the value of a and b in equation (ii)

m=

m=

putting the value of a,b and m in equation (i) gives us

-12 = + c

-12=-12 + c

adding 12 to both sides

-12 +12 = -12 +12 +c

0 =c

or c=0

as the value of the constant is zero which gives us that it is a linear equation and this order pair satisfies the system of linear equations.

wait this depends wether emily and zach how they are thinking.

yes they are the same.