Answer: 2/3
Cathy rolls a number cube that is labeled from 1 to 6.
Total outcomes = {1,2,3,4,5,6}
she rolls an even number or a multiple of 3
Outcomes of an even number = {2,4,6}
Outcomes of multiple of 3 = {3,6}
so favorable outcomes of even number or a multiple of 3 = {2,3,4,6}
Probability ( any event) =number of favorable outcomes divide by total number of outcomes
probability(even number or a multiple of 3) = 
3/4 and 6/8 are equal and this is right I believe
Answer:
x = -
, x = 
Step-by-step explanation:
The absolute value function always gives a positive value, however, the expression inside can be positive or negative, that is
- 3x + 16 = 18 or -(- 3x + 16) = 18
Solving
- 3x + 16 = 18 ( subtract 16 from both sides )
- 3x = 2 ( divide both sides by - 3 )
x = - 
or
-(- 3x + 16) = 18
3x - 16 = 18 ( add 16 to both sides )
3x = 34 ( divide both sides by 3 )
x = 
As a check
Substitute these values into the left side of the equation and if equal to the right side then they are the solutions.
| - 3(-
) + 16 | = | 2 + 16 | = | 18 | = 18 ← True
| - 3(
) + 16 | = | - 34 + 16 | = | - 18 | = 18 ← True
Thus x = -
and x =
are the solutions
Answer:
(-2,-1) is where u start
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The period of a sinusoidal function in the form a * cos (b (x + h)) + m is
. Therefore, we can see that "b" in g(x) is 1/3 and 1/3 substituted into
is 2
/1/3 which is 6
.