Answer:
9 represents the initial height from which the ball was dropped
Step-by-step explanation:
Bouncing of a ball can be expressed by a Geometric Progression. The function for the given scenario is:

The general formula for the geometric progression modelling this scenario is:

Here,
represents the initial height i.e. the height from which the object was dropped.
r represents the percentage the object covers with respect to the previous bounce.
Comparing the given scenario with general equation, we can write:
= 9
r = 0.7 = 70%
i.e. the ball was dropped from the height of 9 feet initially and it bounces back to 70% of its previous height every time.
Step-by-step explanation:
-16 + 3n = - 8 - 5n
Bringing like terms on one side
3n + 5n = - 8 + 16
8n = 8
n = 8/8
N = 1
Answer:

Step-by-step explanation:
<u>Surface Area</u>
The surface area of a cylinder of height h and radius r is given by:

It only covers the lateral side of the cylinder. If both the top and the bottom sides are to be included, then:

The label will cover only the lateral side of the soup can that has a height of h=8.5 cm and a diameter of 6.5 cm. We need to calculate the radius which is half of the diameter r=6.5 cm / 2 = 3.25 cm.
Now we calculate the side area of the can:


We need to add the 0.8 cm overlap to the total area already calculated. This overlap has 0.8 cm of width and 8.5 cm of height, so this overlap area is:

The total area of the label is:

The area of the label is 
Answer:
y=-2x
Step-by-step explanation:
The function has the table:
x f(x)
-3 -6
-2 -4
-1 -2
0 0
Looking at the table, f(x) deceases by 2 each time. This is a constant rate of change called slope. This is a linear function and its equation can be written using y = mx+b. m = -2. b is the y-intercept for starting point where x = 0. When x=0, the table shows y=0. So b=0.
This means the rule is y = -2x.