12x - 5y = 2
12x - 12x - 5y = -12x + 2
-5y = -12x + 2
-5 -5
y = 2.4x - 0.4
y - 3 = 2.4(x - 3)
y - 3 = 2.4(x) - 2.4(3)
y - 3 = 2.4x - 7.2
+ 3 + 3
y = 2.4x - 4.2
Answer:
Domain is 0-12 and the range is 0-10
Step-by-step explanation:
The domain is the x values and the range is the y values
The idea is to use the tangent line to 
at 
in order to approximate 
.
We have
so the linear approximation to 
is
Hence 
and 
.
Then
Answer:
Step-by-step explanation:
The volume of a rectanguiar shape like this one is V = L * W * H, where the letters represent Length, Width and Height. Here L is the longest dimension and is 28 - 2x; W is the width and is 22-2x; and finally, x is the height. Thus, the volume of this box must be
V(x) = (28 - 2x)*(22 - 2x)*x
and we want to maximize V(x).
One way of doing that is to graph V(x) and look for any local maximum of the graph. We'd want to determine the value of x for which V(x) is a maximum.
Another way, for those who know some calculus, is to use the first and second derivatives to identify the value of x at which V is at a maximum.
I have provided the function that you requested. If you'd like for us to go all the way to a solution, please repost your question.
Today is 3/14/17 and where is the content at
