Consider functions f and g. f(x) = 11x ^ 3 - 3x ^ 2
g(x) = 7x ^ 4 + 9x ^ 3

Which expression is equal to f(x)* g(x) ?

The answer would be A

Step-by-step explanation:

You have to combine all of the like terms and 7x^4 has no other like term since its to the power of 4

9x^3 and 11x^3 both have the power of 3 so you multiply them together to get 99x^3 then 3x^2 doesn't have a like term so it stays as 3x^2

Which gets you the answer of 7x^4+99x^3-3x^2

6mm^3 or .6cm^3

      216

      /   \

  36     6

  /   \     /

6     6   6

factor trees are nice.

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752