Answer:
S(x) = x² + 390224/x
Step-by-step explanation:
Volume of the open box = V = 97556 cm³
Material needed:
Let´s call x the side of the square base then the area of the base is
A(b) = x²
For the sides of the box, we have 4 sides each one with area of x*h
where h is the height of the box
The volume of the box V(b) = 97556 = x²*h then h = 97556/x²
S(x,h) = x² + 4*x*h*
The surface area of the box as function of x is:
S(x) = x² + 4*x*97556/x²
S(x) = x² + 390224/x
X=36.... because 17-36=19
Answer:
x = 4
Explanation:
−2x − 4 + 5x = 8
[ Simplify both sides of the equation ]
−2x − 4 + 5x = 8
−2x + −4 + 5x = 8
(−2x + 5x) + (−4) = 8 (Combine Like Terms)
3x + −4 = 8
3x − 4 = 8
[ Add 4 to both sides ]
3x − 4 + 4 = 8 + 4
3x = 12
[ Divide both sides by 3 ]
3x / 3 = 12 / 3
x = 4
- PNW