Answer:
B or the second one i think
Step-by-step explanation:
Answer:
x = 1.5
Step-by-step explanation:
Since the axis of symmetry is between the 2 x intercepts, we can find it by finding the average of the x-coordinates of the 2 points.
(-7 + 10) / 2
3/2
= 1.5
So, the axis of symmetry is at x = 1.5
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 = 
Domain = [3, infinity)
Step-by-step explanation:
x = 3y^2 + 3
3y^2 = x - 3
y^2 = (x-3)/3
y = 
Multiply -8 on both sides

n + 2 = 32 Subtract 2 on both sides
n + 2 - 2 = 32 - 2
n = 30