1.Cesiah has a pencil box containing 4 green pencils, 6 blue pencils, and 10 red pencils. If she randomly selects a pencil from the bag, what is the probability, in decimal form, that she picks a green pencil?

If you add up the amount of pencils there are then you get 20,

so that means that you have 20 pencils in all, and out of the 20 pencils, 4 of them are green so the probability is 4/20

and 4/20 in decimal form is 0.2, so the probability is unlikely that she will pick a green pencil

-Have a good Day!

x^2 + 81

we can factor this using difference of square binomials.

rewrite the equation:

x^2 - (-81)

factor:

(a^2 - b^2) = (√a^2 + √b^2)(√a^2 - √b^2)

(x^2 - (-81) = (x + √-81)(x - √-81)

we can remove the - from under the radical by multiplying it by i.

(x^2 - (-81) = (x + i√81)(x - i√81)

(x^2 - (-81) = (x + 9i)(x - 9i)

we can check our answer by using foil:

x^2 - 9ix + 9ix - 81i^2

x^2 - 81^2

i^2 = -1

x^2 + 81