A scientist began a study with a sample of 1,500 bacteria. He noticed that the number of bacteria in the sample after t days can be modeled by the equation P=1,500 • 5t . In this equation, what does 5t represent? A. The number of bacteria increases by 5 bacteria each day. B. The number of bacteria increases by a factor of t each day for 5 days. C. The number of bacteria increases by a factor of 5 each day. D. The number of bacteria increases by t bacteria after 5 days.

The correct answer is the number of bacteria increases by a factor of 5 each day. I've tooken a quiz on it

The answer is c

Step-by-step explanation:

i took the test

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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)