Answer:
x=6
Step-by-step explanation:
x-7=-1 add -1 to other side of the equation
x-6=0 add six to the zero
x=6

Distribute 3 throught the parentheses

Move the variable to the left-hand side and change its sign

Move the constant to the right-hand side and change its sign

Collect like terms

Divide both sides of the equation by -3

Answer:
Step-by-step explanation:


Volume = 
find partial derivatives using product rule

i.e.
Using maximum for partial derivatives, we equate first partial derivative to 0.
y=0 or x+y =6
x=0 or x+4y =12
Simplify to get y =2, x = 4
thus critical points are (4,2) (6,0) (0,3)
Of these D the II derivative test gives
D<0 only for (4,2)
Hence maximum volume is when x=4, y=2, z= 4/3
Max volume is = 4(2)(4/3) = 32/3
The correct answer is 523.33 mm^3
//p.s I already took the test and this was the correct answer//
hope I helped :)