1. If 2x + y = 5; 3y + z = 15 and 3z + 2x = 16, then what is the average (arithmetic mean) of x, y and
z??
A. 2
B, 3
C. 5
D. 12
E. 13

B.) 3

Step-by-step explanation:

2x+y=5

3y+z=15

3z+2x=16

4x+4y+4z=36 ( Added all the Equations)

x+y+z=9 (Divided by four)

Since we're trying to find the average, we have to add x, y, and z, and then divide by three (x is one, y is the second, and z is the third) because the average is the sum of all the numbers divided by the amount of numbers.

x+y+z=9

Average(x+y+z)=3

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: