There are fifteen nonempty subsets of the set (2,0,1,8). for each of these subsets, consider the sum of its elements. compute the number of different sums.

0

1

2

8

1+2=3

1+8=9

2+8=10

2+1+8=11

0 doesn't change the value of the sum, so we don't take into consideration subsets with 0 in it, except the subset with just 0 itself.

Therefore, there are 8 different sums.

f(x) is the value of the function. b is the value of the function when x equals zero or the y-coordinate of the point where the line crosses the y-axis in the coordinate plane.

step-by-step explanation:

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guess at question:

a vertical line intersects the graph of g(x,y) = 0 at two points. what conclusion follows about the function f(x) implicitly defined by g(x,f(x)) = 0?

the domain of f(x) cannot include the x coordinate of any such vertical line.

informally, f(x) is not a function, and

g(x,y)=0 cannot be solved for y uniquely.

the relation r = {(x,y) such that g(x,y) = 0} is a function if

for all (a,b) ∊ r and (c,d) ∊ r, a=c implies b=d.

step-by-step explanation: