Mack the bug starts at (0,0) at noon and each minute moves one unit right or one unit up. he is trying to get to the point (5,7). however, at (2,3) there is a spider that will eat him if he goes through that point. in how many ways can mack reach (5,7) ?

in simplified version   it would be x ≤-4

step-by-step explanation:

multiply each term in x ≤-4 by -1

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.