The tables for f(x) and g(x) are shown below. x f(x) –5 –11 –2 1 1 13 5 29 x g(x) –5 –7 –2 –1 1 5 5 13 what is the value of (f – g)(5)? a. –18 b. –4 c. 16 d. 42

16

Explanation:

The difference of two functions evaluated at a given number is the same as each function evaluated at that number, then subtracted.

This means in order to find our answer, we take the value of the first function at 5, the value of the second function at 5, and subtract:

29 - 13 = 16.

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step-by-step explanation:

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