The two-way frequency table below shows data on quidditch goals blocked when a goaltender was using a luck potion or a placebo.
Complete the following two-way table of row
relative frequencies.
(If necessary, round your answers to the nearest hundredth.)
Placebo
Luck potion
Blocked the goal
30
23
Did not block the goal
8
5
Placebo
Luck potion
Row total
Blocked the goal
1.00
Did not block the goal
1.00

step-by-step explanation:

answer4 to the second power is 16

and 4 to the third power is 64,

2

step-by-step explanation:

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)