The sequence in the box shows the number of minutes Xavier studies math each day (20) of the week. 11, 17, 23, 29, ...
Assuming the pattern continues, which function could be used to find the number of minutes, f (x), Xavier studies at the end of the 7th day?
O f(x) = 5x + 6
O f(x) = 6x + 5
O f(x) = 11 - 29
O f(x) = 29 - 11

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)

42.4 6th grade students prefer hip hop

step-by-step explanation:

40 percent of 106 = 42.4

to be honest i don't know but i need points so