Daniel's math test scores are 75, 82, 47, 93, 87, 72, 84, 88. If his teacher
drops the lowest score, how much will his mean increase?

4.5points

Step-by-step explanation:

the mean for the data as it is now is 628/8=78.5. when the lowest score is dropped it becomes 581/7= 83 . By subtracting 78.5 from 83 you get 4.5.

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: