A cookie recipe that calls for 223 cups of sugar will make 32 cookies. However, you only have 123 cups of sugar, and you have to adjust your recipe. What fraction of the recipe can you make based on the amount of sugar that you have?

180

step-by-step explanation:

answerthe vertex form

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.

step-by-step explanation: