Step-by-step explanation:
a.) To model this scenario
Let the height of ball = y
The height of 1st= 0.5y
2nd =0.5(0.5y)
3rd = 0.5*(0.5(0.5y))
Hence the height of nth bounce can be modeled as
Height of nth bounce =(0.5ⁿ-1)*y
The exponential equation is
hn= (0.5ⁿ-1)*y
b.) if the ball is dropped from 9ft above the ground
y= 9ft
On the 4th bounce
n=4
Substituting in the exponential equation we have
h4=(0.5^4-1)*9
h4=0.5³*9
h4= 0.125*9
h4= 1.125ft
On the 4th bounce, the ball will reach a height of 1.125ft
Sasha's desk has
green notebooks.
The number of red notebooks on her desk is
.
Sasha's desk has either green or red notebooks.
The total number of notebooks on Sasha's notebook is
.
Remember
a²-b²=(a-b)(a+b)
8x²-50y²
2(4x²-25y²)
(2)([2x]²-[5y]²)
2(2x-5y)(2x+5y)
Answer:

Step-by-step explanation:
The given expression is

If we evaluate the expression as it is we will get;

But we want to insert parenthesis so that we will use PEDMAS to obtain 37 as the result.
The only way this can be achieved is when we insert the parenthesis as shown below;
