10. Which of the following tables represents a function where f(4) = 6 and f(−1) = −4 ?

A. x...
f of x...
zero... two
four... six...
six... eight...
A.

B. x...
f of x...
negative one... negative four...
zero... zero...
two... eight...
B. , , ,

C. x...
f of x...
negative four... negative ten...
negative one... negative four...
six ten
C. , ,

D.

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

the answer for this question is a= 13,622.84

step-by-step explanation: