Over which interval(s) is the function decreasing?
The given expression, 81a^6 - 100, is a difference of two squares. The first term 81a^6 is a square of 9a³. The second term, 100, is a square of 10. The factors of the given expression is therefore, (9a³ - 10) x (9a³ + 10).
There are 8 numbers for the computer to choose from.
So the probability of choosing a particular number is 1/8.
The first number can be any one of the 8.
The second and the third must be the same as the first, with probability 1/8.
Therefore the probability that all three numbers are the same
= (1/8)(1/8) = 1/64 [ player will win a prize ]
(=0.03125)
Answer:
x = 68
y = 72
Step-by-step explanation:
if the lines are parallel, then x-3 = 65
x = 68
(68 - 3) + 46 + y - 3 = 180
y = 72
