Answer:
D
Step-by-step explanation:
First of, associative property of addition is rearranging the parenthesis and not moving the numbers
A is incorrect because you can not take out the parenthesis in the equation
B is inccorrect because they change the position of the number
C is incorrect because they change the position of number
D is correct. It only change the position of the parenthesis
Subtracting 3 at the end of the equation shifts the graph down 3 units
Answer: 343000
Step-by-step explanation:
70 * 70 is 4900 so 70*70*70 is 343000
Answer:
a. After the first bounce, the ball will be at 85% of 8 ft. After 2 bounces, it'll be at 85% of 85% of 8 feet. After 3 bounces, it'll be at (85% of) (85% of) (85% of 8 feet). You can see where this is going. After n bounces the ball will be at

b. After 8 bounces we can apply the previous formula with n = 8 to get

c. The solution to this point requires using exponential and logarithm equations; a more basic way would be trial and error using the previous
increasing the value of n until we find a good value. I recommend using a spreadsheet for that; the condition will lead to the following inequality:
Let's first isolate the fraction by dividing by 72.
Now, to get numbers we can plug in a calculator, let's take the natural logarithm of both sides:
. Now the two quantities are known - or easy to get with any calculator, replacing them and solving for n we get:
Now, since n is an integer - you can't have a fraction of a bounce after all, you pick the integer right after that, or n>27.
Answer:
-2/-9
Step-by-step explanation:
The -2 would be the junction and so on the graph it would say -9 to the x