Given the function f(x) = 5x determine the equation of the new function, g(x), that is shifted 2 units to the right and 3 units down.

Assume that the weights of quarters are normally distributed with a mean of 5.67 g and a standard deviation 0.070 g. a vending machine will only accept coins weighing between 5.48 g and 5.82 g. what percentage of legal quarters will be rejected? round your answer to two decimal places.

Solve the following pair of equations for x and y: ax/b_ by /a= a +b; ax - by = 2ab

Renee hiked for 6 3/4 miles. after resting, renee hiked back along the same route for 5 1/4 miles. how many more miles does renee need to hike to return to the place where she started? represent your answer as a simplified mixed number, if necessary.