Alock on a bank vault consists of three dials, each with 30 positions, in order for the vault to open, each of the three dials must be in the correct position. how many different "dial combinations" are there for this lock? place your answer in the blank. do not use any decimal places or commas. for example, 12345 would be a legitimate entry.

Given f(x) = 17-x^2what is the average rate of change in f(x) over the interval [1, 5]?

Questions 7-8. use the following table to answer. year 2006 2007 2008 2009 2010 2011 2012 2013 cpi 201.6 207.342 215.303 214.537 218.056 224.939 229.594 232.957 7. suppose you bought a house in 2006 for $120,000. use the table above to calculate the 2013 value adjusted for inflation. (round to the nearest whole number) 8. suppose you bought a house in 2013 for $90,000. use the table above to calculate the 2006 value adjusted for inflation. (round to the nearest whole number)

Find the vertex for the parabola given by the function ƒ(x) = −3x2 − 6x.