A cryptographer uses a combination of two functions to develop the initial "key” in a sequence of coded numbers. The functions are: f(x) = log5(x) – 8 g(x) = x3 + 3 Which is h(x) = f(x) – g(x)? h(x) = log5(x) – x3 – 5 h(x) = log5(x3) – 3 h(x) = log5(x) – x3 + 11 h(x) = log5(x) – x3 – 11

Abag of popcorn contains 483 calories and servers 3.5 people. how many calories are in each serving.

Harry’s soccer team plays 2 nonconference games for every 3 games that they play against conference opponents. if y represents the number of nonconference games and x represents the number of conference games, which equation best models this proportional relationship? a)y=2/3 x b)y=3/2 x c)y = 2x d)y = 6x

Arectangle with an area of 47 m² is dilated by a factor of 7. what is the area of the dilated rectangle? enter your answer in the box. do not leave your answer as a fraction.