How many 8-digit codes can be made from that person's birth date.

40,320 codes

Step-by-step explanation:

There are 8 numbers in total

8 _ _ _ _ _ _ _

The first digit can have 8 different possible numbers

8 7 _ _ _ _ _ _

The second digit can have 7 different possible numbers because one of the numbers are already in the 1st space

8 7 6 _ _ _ _ _

The third space can have 6 different possible numbers because the first two spaces are already occupied

This would continue until all spaces has been filled

8 7 6 5 4 3 2 1

Now just multiply the numbers: 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = 40,320

(this type of math is called permutations and combinations)

goog may be able to you find that answer

b. y = 4x - 2

step-by-step explanation:

to find a parallel equation to an equation, make sure both equations have the same slope but different y-intercepts.

y = 4x + 1

4 = slope

1 = y-intercept

y = 4x - 2

4 = slope

-2 = y-intercept

they both have the same slope but different y-intercepts, so, b. is the correct answer.

and to check your work, you can graph both equations. : )