Place these values in order, from smallest to largest length. show your work.

10 feet
9 feet
145 inches
12 feet
130 inches

Explanation:

Obviously, 9 < 10 < 12, so ordering by feet is easy. Then we need to figure out where the inch measurements belong.

1 foot = 12 inches, so we can figure some references to use to compare to the inch measurements.

  10 feet = 10·12 in = 120 in, so 130 in is longer, by less than 1 ft.

  12 feet = 12·12 in = 144 in, so 145 in is longer.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0