The band's manager earns a monthly rate, plus $20 for each show booked. last month the manager earned at least $170. let x = number of gigs booked let y = monthly rate choose the inequality that relates the manager’s number of gigs and monthly rate to the last month’s earnings. a) x+20y < 170 b) x+y < 170 c) y+20x > 170 d) 20x+y > or equal to 170

Or OPTION D

The ordered pair (0, 0) is not a reasonable solution to the inequality because the manager earns at least a monthly rate.

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.