This table shows the high schools in a metro district and whether they offer hockey and golf.

A high school is chosen at random from this list.

Let event A = The high school has a hockey team.

Let event B = The high school has a golf team.

A: Which high schools offer both hockey and golf? I have lincoln, West Pine and North river. What is P(A∩B) -- i have .42

B: Which high schools offer hockey or golf or both? i have East Valley, Lincoln, West Pine, Adams and North River. What is P(A∪B)? i have .71

Hoping someone can check these answers. If wrong, explain why.

a reflection across the x-axis , followed by the by a reflection across the y-axis , and then a scale dilation of 0.5 .

hello from mrbilldoesmath!

answer:   (7x + 6y) ( 49x^2 - 42xy + 36y^2)

discussion:

in general, the factorization of a^3 + b^3 is

a^3 + b^ 3 = (a + b) ( a^2 - ab + b^2)

in our case note that 343 = 7^3 and 216 = 6^3 so the equation becomes:

343x^3 + 216y^3 = (7x)^3 + (6y)^3

if you think of a (above) as 7x and b as 6y the factorization becomes

343x^3 + 216y^3 =

((7x + 6y) (   (7x)^2 - 7x*6y + (6y)^2)   =

(7x + 6y) ( 49x^2 - 42xy + 36y^2)

you,

mrb

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

answer: idk wbu

step-by-step explanation: umm..