A box is formed by cutting squares from the corners of a rectangular piece of cardboard. The volume of the box is found by the equation V(h)=h(16-2h)(10-2h) where his a side of …

Question

asked Jun 22, 2021 200k views

1 Answer

Ranjit Kumar · Answer 1 · 2021-06-27T07:25:55+0000

Answer:

A. (0, 5)

Explanation:

Physically speaking, the volume of the box and the side of the square cutout are positive value. So that the following inequations must be satisfied:

h > 0 (1)

$16-2\cdot h >0$ (2)

$10-2\cdot h > 0$ (3)

From (1), (2), (3) we find that:

(1):

h > 0

(2):

$16 > 2\cdot h$

8 > h

h < 8

(3):

$10 > 2\cdot h$

5 > h

h < 5

We see that equation above is the multiplication of a first grade monomial and two first grade binomials, which means that:

$h > 0 \,\land\,h < 5\,\land\,h< 8$

0< h < 5

In other words, the reasonable domain for this situation is A.