Answer:
Remember, the power set of any set S is the set of all subsets of S, including the empty set and S itself.
Then the power set of 
is
Answer:
x = (+ - ) 9
Step-by-step explanation:
x^2 = 81
u know how u can sometimes cancel something out by doing the opposite.
This is one of those times as well. the opposite of ^2 = square root.
so if we take the square root of both sides, this will cancel out the^2 on the left side.
sqrt (x^2) = sqrt(81)
x = (+-) 9.....thats a positive and a negative sign...because the sqrt of 81 is both 9 and -9.
Answer:Missing: 3y² Бу
Step-by-step explanation:
Answer:
Part A:
(1) x + y = 95
(2) x = y + 25
Part B:
The number of minutes Eric spends playing volleyball each day is 35 minutes
Part C:
It is not possible for Eric to have spent exactly 35 minutes playing basketball
Step-by-step explanation:
The total time Eric plays basketball and volleyball = 95 minutes
The time duration Eric plays basket ball = x
The time duration Eric plays volleyball = y
Part A:
The pair of relationships between the number of minutes Eric plays basketball (x) and the number of minutes he plays volleyball (y) are;
(1) x + y = 95
(2) x = y + 25
Part B:
By substituting the value of x in equation (2) into equation (1), we have;
x + y = (y + 25) + y = 95
2·y + 25 = 95
2·y = 95 - 25 = 70
y = 70/2 = 35 minutes
Therefore, Eric spends 35 minutes playing volleyball every day
Part C:
It is not possible for Eric to have spent only 35 minutes playing basketball because, given that he plays basketball for 25 minutes longer than he plays volley, the number of minutes he spends playing volleyball will then be given as follows;
x = y + 25
35 = y + 25
y = 35 - 25 = 10 minutes
The total time = x + y = 10 + 35 = 45 minutes ≠ 95 minutes.
