From the system of equations, we have 3 unknowns and 3 equations. Therefore, it can be solved.
<span>3x - 2y + 2z = 30 (1)
</span><span>-x + 3y - 4z = -33 (2)
</span><span>2x - 4y + 3z = 42 (3)
We can write equation 2 x as a function of y and z and substitute the new equation to the other equations.
</span>x =3y - 4z + 33 (2)
3 (3y - 4z + 3)<span> - 2y + 2z = 30 (1)
</span>2 (3y - 4z + <span>3)</span> - 4y + 3z = 42 (3)
We simplify and solve the equations and we get values,
x = 4
y = -7
z = 2
Answer:

Step-by-step explanation:
Pattern 1 consists of
small squares (here n = 1 and
).
Pattern 2 consists of
small squares (here n = 2 and
).
Pattern 3 consists of
small squares (here n = 3 and
).
Thus, pattern n consists of
small squares.
Answer: w + 5
Step-by-step explanation: The sum of w and 5 translates into an algebraic expression form to w + 5.
If you start with a 12x16 rectangle and cut square with side length x, when you bend the sides you'll have an inner rectangle with sides
and
, and a height of x.
So, the volume will be given by the product of the dimensions, i.e.

The derivative of this function is

and it equals zero if and only if

If we evaluate the volume function at these points, we have

So, the maximum volume is given if you cut a square with side length

Answer:
x=4
Step-by-step explanation:
First you want to add 8.8 to 7.2 and get 16 because you want to get x alone
Next divide divide 4x on both sides so 4x/4x cross out and left with just x. 16/4 =4
x=4
Hope this helps!