Thomas starts a canned food collection with 2 cans of food. He challenges his friends to bring 4 cans on the second day, 8 cans on the third day, and 16 cans on the fourth day. Thomas and his friends plan to collect cans for 10 days. Which statement describes why this sequence is a function? Select each correct answer. Each amount of cans corresponds to a unique day in this sequence. The graph of the sequence would pass the horizontal line test. The graph of the sequence would pass the vertical line test. Each day corresponds to a unique amount of cans in this sequence.

B AND C.

Step-by-step explanation:

The definition of a function says that for each value of x (day)  there can be no more than one value of y (cans). A graph of a function passes the vertical line test when a vertical line touches no more than one point (which means it follows the first rule).

your welcome :)

hello from mrbilldoesmath!

answer:

(7 x + 6 y) (49 x^2 - 42 x y + 36 y^2)

discussion:

the trick is to recognize that 343 = 7^3 and 216 = 6^3 and, in general,

a^3 + b^3 =   (a + b) (a^2 - a b + b^2).

in our case

343x^3+216y^3   =   (7x)^3 + (6y)^3

so take a = 7x and b = 6y in the above equation to get the answer.

you,

mrb

1st part is 64,000,000

2nd part 500,000

step-by-step explanation: