An open box is to be made from a square piece of material,38 inches on a side,by cutting equal squares with sides of length x from the corners and turning up the sides (see figure) where $a = 38 - 2 x$ .
Determine the domain of the following function,V(x)represents the volume of the box . $V ( x ) = x ( 38 - 2 x ) ^ { 2 }$
A)Domain: $0

Question

An open box is to be made from a square piece of material,38 inches on a side,by cutting equal squares with sides of length x from the corners and turning up the sides (see figure)​  ​ where $a = 38 - 2 x$ .
Determine the domain of the following function,V(x)represents the volume of the box .​ $V ( x ) = x ( 38 - 2 x ) ^ { 2 }$ ​
A)Domain: $0 < x \leq 19$ 
B)Domain: $0 \leq x \leq 38$ 
C)Domain: $0 < x < 38$ 
D)Domain: $0 \leq x \leq 19$ 
E)Domain: $0 < x < 19$

Quizplus · Accepted Answer

The Answer of An open box is to be made from a square piece of material,38 inches on a side,by cutting equal squares with sides of length x from the corners and turning up the sides (see figure)​  ​ where $a = 38 - 2 x$ .
Determine the domain of the following function,V(x)represents the volume of the box .​ $V ( x ) = x ( 38 - 2 x ) ^ { 2 }$ ​
A)Domain: $0 < x \leq 19$ 
B)Domain: $0 \leq x \leq 38$ 
C)Domain: $0 < x < 38$ 
D)Domain: $0 \leq x \leq 19$ 
E)Domain: $0 < x < 19$

An Open Box Is to Be Made from a Square a=38−2xa = 38 - 2 xa=38−2x

An Open Box Is to Be Made from a Square $a = 38 - 2 x$