Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive? x –6 –1 4 9 14
f (x) 6 5 4 3 2
g(x) –12 –7 –2 3 8
(14, ∞)
(–∞, 14)
(9, ∞)
(–∞, 9)

Elizabeth claims that the fourth root of 2 can be expressed as 2^m since (2^m)^n = 2. find the values of m and n for the case where elizabeth's claim is true.

Afamily has two cars. the first car has a fuel efficiency of 25 miles per gallon of gas and the second has a fuel efficiency of 15 miles per gallon of gas. during one particular week, the two cars went a combined total of 1025 miles, for a total gas consumption of 55 gallons. how many gallons were consumed by each of the two cars that week?

Grandpa ernie is shrinking! over the past 4 years his height decreased by a total of 2.4 cm.it decreased by the same amount each year. what was the change in grandpa ernie's height each year