Find all functions $f:\mathbb R \to \mathbb R$ that satisfy$$ f(x) + 3 f\left( \frac {x-1}{x} \right) = 7x $$for all nonzero $x$. Note that the domain of $f$ is all real numbers. Make sure you define your function everywhere!

The graph shows the prices of different numbers of bushels of corn at a store in the current year. the table shows the prices of different numbers of bushels of corn at the same store in the previous year. previous year number of bushels price of corn (dollars) 2 10 4 20 6 30 8 40 part a: describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. part b: how many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? show your work.

Given f(t) = 282 - 53 +1, determine the function value f(2). do not include f(z) = in your answer

Monthly water bills for a city have a mean of $108.43 and a standard deviation of $32.09. find the probability that a randomly selected bill will have an amount greater than $155, which the city believes might indicate that someone is wasting water. would a bill that size be considered unusual?