Sean began jogging to live a healthier lifestyle. on his first run, he ran one-half mile. he increased his workouts by adding two miles a month to his run. he wrote the equation f(x)= 0.5 + 2x to model his progress. the variable x represents the number of

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

If the speed of an electromagnetic wave is 100,000 cm/s and its wavelength is 100 cm, what is its frequency? a) 100,000 cycles per second (hz) b) 1 × 10-3 cycles per second (hz) c) 10,000,000 cycles per second (hz) d) 1,000 cycles per second (hz)

Find the constant of variation for the relation and use it to write an equation for the statement. then solve the equation.