Using 1 3-foot by 8 foot piece of sheet metal, an installer makes four 6 inch circular ducts. each duct is 3 feet long. how many ducts can be made from 26 sheets of metal

104

Step-by-step explanation:

Given: Using one 3-foot by 8 foot piece of sheet metal, an installer makes four 6 inch circular ducts.

Thus, the number of ducts made by 1 sheet= 4

By using direct proportion, the number of ducts made by 26 sheets is 26 times the number of ducts made by 1 sheet.

The number of ducts made by 26 sheets =

Hence, the number of ducts made by 26 sheets = 104

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

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: