Alarge survey was conducted in which students were asked to name pizza, hot dogs, or hamburgers as their favorite food. the results were made into bar graphs a and b, as shown. look carefully at the two graphs and then choose the best conclusion. a) pizza is one-third as popular as hot dogs. b) hot dogs are almost twice as popular as pizza. c) the three foods have nearly the same popularity. d) pizza is four times more popular than hamburgers. eliminate e) hot dogs are over six times as popular as hamburgers.

a

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)

sina-sinb

cosb+cosa

tana-tanb

cos0+cos x pi/3

20tan

step-by-step explanation: