Check the picture below.
as you can see, the graph of the volume function comes from below goes up up up, reaches a U-turn then goes down down, U-turns again then back up to infinity.
the maximum is reached at the close up you see in the picture on the right-side.
Why we don't use a higher value from the graph since it's going to infinity?
well, "x" is constrained by the lengths of the box, specifically by the length of the smaller side, namely 5 - 2x, so whatever "x" is, it can't never zero out the smaller side, and that'd happen when x = 2.5, how so? well 5 - 2(2.5) = 0, so "x" whatever value is may be, must be less than 2.5, but more than 0, and within those constraints the maximum you see in the picture is obtained.
Answer:
y=1
Step-by-step explanation:
y= 4 - 2x
y= -5 + 4x
4 - 2x = -5 + 4x
4 + 5 = 4x +2x
9 = 6x
9/6 = x
3/2 = x
y= 4 -2(3/2)
y = 4 - 3
y = 1
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Answer:
y+8=-2(x-4)
Step-by-step explanation:
point-slope form is y-y1=m(x-x1) where m is the slope, and (x1,y1) is a point.
We are given all of that information:
slope: -2
point: (4,-8)
substitute the numbers into the equation
y--8=-2(x-4)
we can make --8 to positive 8
so:
y+8=-2(x-4)
this is the equation in point-slope form
Hope this helps!
Answer:
a 2
b -1
Step-by-step explanation:
