Determine whether each statement is true or false. For a real number x, x · 0 = x.

For a real number x where x ≠ 0, x () = 1.

For two different real numbers x and y, |x - y| = |x + y|.

For real numbers x, y, and z, (x + y)(z) = (xz) - (yz).

For rational numbers x and y, where y ≠ 0 is always a rational number.

For f(x) = 3x+1 and g(x) = x2 - 6, find (g/f)(x)

Julia spends $5.25 on gas for her lawn mower. she earns $13.00 mowing her neighbor's yard. what is julia's profit?

Andy wants to find the distance d across a river. he located points as shown in the figure, then use similar triangles to find that d = 223.5 feet. how can you tell without calculating that he must be wrong? tell what you think he did wrong and correct his error. round your answer to the nearest tenth if necessary. andy must have used the wrong . the distance d is actually feet.