A chef draws cookies randomly from a box containing 6 cookies of the same shape and size. There is 1 chocolate cookie, 3 almond cookies, and 2 butter cookies. He draws 1 cookie and then draws another cookie without replacing the first one. Find the probability of picking 1 almond cookie followed by another almond cookie, and show the equation used.

1/5

Step-by-step explanation:

The probability of drawing an almond cookie the first time is 3/6=1/2, since there are a total of 6 cookies and 3 of them are almond. However, the second time the chance is 2/5, since there are 5 cookies left and only two of them are almond. The equation to model this is therefore:

Hope this helps!

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.

i hope this is what you were looking for.

see attached graph