For the experiment described, write the indicated event in set notation.
A die is tossed twice with the tosses recorded as an ordered pair. Represent the following event as a subset of the sample space: The second toss shows a two.
a.{(1,2),(3,2),(5,2)}
b. {(1,2),(2,2),(4,2),(5,2),(6,2)}
c. {(3,2)}
d. {(1,2),(2,2),(3,2),(4,2),(5,2),(6,2 )}

d. {(1,2),(2,2),(3,2),(4,2),(5,2),(6,2)}

Step-by-step explanation:

First one can be any of the six outcomes

b. astronomers

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.