You have 16 digs for your current volleyball season. There are 3 games left in the season. You want to break your previous record of 20 digs in a season. Write and solve an inequality that represents the number of digs you must get in the remaining 3 games to break your record

we must get more than 4 digs in the remaining 3 games break record of 20

Step-by-step explanation:

given data

current volleyball season = 16 digs

games left in the season = 3

previous record = 20 digs

solution

we consider here the number of digs  x that must get in the remaining 3 games to break your record

so for break  previous record of 20 digs, we have to get more than 20  

so 16 digs must add to x to greater than 20

x + 16  ≥ 20   1

so x will be

x ≥ 20 - 16

x ≥ 4  

so that we must get more than 4 digs in the remaining 3 games break record of 20

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.