For the function f defined by f(x)=5x−12 find f(−x),−f(x), and −f(−x).

Using pert, adam munson was able to determine that the expected project completion time for the construction of a pleasure yacht is 21 months, and the project variance is 4. a) what is the probability that the project will be completed in 17 months? b) what is the probability that the project will be completed in 20 months? c) what is the probability that the project will be completed in 23 months? d) what is the probability that the project will be completed in 25 months? e) what is the due date that yields a 95% chance of completion?

Right triangle abc has three sides with lengths ab= 119, bc = 169, ca= 120. find the value of cos c. hint: draw and label the triangle. the hypotenuse is always the longest.

Ashop has a sale that offers 20% off all prices. on the final day they reduce all the sale prices by 25% linz buys a ratio on the day. work out the overall percentage reduction on the price of the ratio