Charmaine's Coffee shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Charmaine $5.75 per pound, and type B coffee costs $4.55 per pound. This month's blend used four times as many pounds of type B coffee as type A, for a total cost of $814.30. How many pounds of type A coffee were used?

step-by-step explanation:

597

step-by-step explanation:

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.