2(3u-8)= 38
6u-16=38
take 16 on the other side..
6u = 38 +16
6u = 54
u = 9
P= a+b+c is the way to find the perimeter of a triangle
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The volume of the cube is 6*6*6 (in cubed)=216 (in cubed).
in 1 cubic inch, there is 0.5 lb of weight
so in 216 cubic inch, there are 216*0.5 lb = 108 lbs of weight
Answer: 108 lbs
Using the method of Lagrange multipliers, we have the Lagrangian

with partial derivatives (set equal to 0)





From

and

, we find that

. Then substituting into

, we find

and substituting these into

, we get

So we have two possible critical points,

, which give extreme values of

and

, respectively.
Answer:
-6
Step-by-step explanation:
Some nasty order of operations coming up.
Firstly, deal with that squared:
-12 / 3 * (-8 + 16 - 6) + 2
Simplify the bracket:
-12 / 3 * 2 + 2
Simplify -12 / 3:
-4 * 2 + 2
Simplify -4 * 2:
-8 + 2
Simplify:
-6