The data below represents the number of practices each member of Nidhi's ski team attended, 25, 28, 29, 29, 30, 34, 35, 35, 37, 38
Which box plot correctly summarizes the data?
Choose 1
24
26
28
30
32
34
36
38
40
24
26
28
30
32
34
36
38
40
24
26
28
30
32
34
36
38
40

B

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)