One third of a number, z, added to one fifth of the same number is 3/5 . what is the number and why? a) 40/3 , because the equation that represents this sentence is 3z+5z=3/5 . b) 6/5 , because the equation that represents this sentence is 1/3z+1/5=3/5 . c) 3/40 , because the equation that represents this sentence is 3z+5z=3/5 . d) 9/8 , because the equation that represents this sentence is 1/3z+1/5z=3/5 . answer ! : )

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.