Determine which statements are true. Check all that apply. A) h(x) has a constant output of –2.50. B) As x increases, g(x) increases. C) g(x) is greater than –2.50 for x values less than –1. D) h(x) is less than –2.50 for x values greater than –2. E) The input value for which g(x) = h(x) is between –1 and 0.

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)

the answer would be c

83-45=38

38 was the other number

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