When the surrounding flaps are folded up, the base of the box will have dimensions 
by 
, and the box will have a height of 
. So the box has volume, as a function of ,
I don't know what technology is available to you, but we can determine an exact value for that maximizes the volume by using calculus.
Differentiating 
with respect to gives
and setting this equal to 0 gives two critical points at
For the larger critical point we would get a negative volume, so we ignore that one. Then the largest volume would be about 168.5 cubic in.
This function is in vertex form: f(x)=a(x-h)^2 - k
Where (h , k) is the vertex. x=h is the axis of symmetry.
Vertex (1,-5) axis of symmetry x = 1
Answer:
5,7,-1
Step-by-step explanation:
5) -5+5<7=0<7 TRUE
7)-7+5<7=--2<7 TRUE
-1)-(-1)+5<7=6<7 TRUE
-3)-(-3)+5<7=8<7 FALSE
-2)-(-2)+5<7=7<7 FALSE
Answer:
table c
Step-by-step explanation:
The answer to the equation is 8x-1
