At a sale on winter clothing, jacquie bought 2 pairs of gloves and 4 hats for 43$. julia bought 2 pairs of gloves and 2 hats for 30$. find the prices of the hats and gloves

2g + 4h = 43

2g + 2h = 30

2h = 13

h = 6.5

2g + 26 = 43

2g = 17

g = 8.5

1 glove is $8.50 and 1 hat is $6.50

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.