Asoccer ball is kicked into the air. its height above the ground can be approximated
by using the equation h = -3t2 + 15t, where h is the height above the ground in
meters and t is the time in seconds.
a) what are the zeros of this relation?
b) when does the ball hit the ground?
c) when does the ball reach its maximum height?
d) what is the maximum height of the ball?

See below in bold.

Step-by-step explanation:

a)  h = -3t^2 + 15t = 0

-3t(t - 5) = 0

t = 0, 5 are the zeroes of the relation.

b)  The ball hits the ground when h = 0 so it is after 5 seconds.

c)  The path of the ball is a parabola which opens downwards so the maximum height  is when x = 5/2 = at 2.5 seconds.

d) this maximum height is -3(2.5)^2 + 15(2.5) = 18.75 meters.

he used the algebra tiles correctly.

step-by-step explanation:

given : 3x(2x-1)

solution :

since he used algebra tiles .

armando's solution is the same in the solution shown in figure

as he distributed 2x into x and x and wrote them vertically

and also write   -1 vertically

and 3x into x and x and x and wrote it horizontally

performing the multiplication in the algebra tiles we get

and solving the given expression :

3x(2x-1)

since solving the expression using tiles   and solving the expression algebraically we get the same answer

thus   we can choose the first statement as the answer to this problem which is "he used the algebra tiles correctly".

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