11. Which situation can be represented by the equation y = 12x?
A. Victoria is y years old.
Her age is 12 years greater than x, her brother's age in years.
B. Victoria has y dollars.
This amount is 12 times x, the amount of money in dollars Victoria's brother has.
C. Victoria went to school for x years.
This is 12 times y, the number of years her brother went to school.
D. Victoria spent x dollars to buy a gift for her brother.
She gave the cashier y dollars and received $12 in change.

in 4 days he will run   12/14

step-by-step explanation:

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step-by-step explanation:

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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)