Number of proper subsets = 2^number of elements- 1
= 2^n - 1
No of elements = 4
2^4-1 = 16-1 = 15
Answer:
- no question content
- (x, y) = (1/2, 4)
- (x, y) = (2, 10)
Step-by-step explanation:
1. No link, no question
__
2. Divide the first equation by 2 and substitute for y using the expression in the second equation.
2x +(4x+2) = 5
6x = 3 . . . . . . . . . subtract 2
x = 3/6 = 1/2 . . . . divide by2
y = 4(1/2) +2 = 4 . . . . substitute into the equation for y
The solution is (x, y) = (1/2, 4).
__
3. The solution using a graphing calculator is (x, y) = (2, 10). (see attached)
9514 1404 393
Answer:
(2, 3)
Step-by-step explanation:
Compare the given equation ...
y = (x -2)^2 +3
to the vertex form ...
y = (x -h)^2 +k
You can see that h=2 and k=3.
The vertex of the parabola is (h, k) = (2, 3).