Given

To obtain the minimum value of y, we first take the derivative of y
The derivative of y is:

Equating

gives the minimum value we require.
Doing that, we have:

So that

Therefore, the minimum value is x = 3
Answer:
AP = 22
Step-by-step explanation:
In a triangle, the centroid divides the median in the ratio 2:1.
It is given that AD is the median and AD = 33
It is also given that P is the centroid on the median AD.
Therefore, P divides AD in the ratio 2:1.

AP = 2k and PD = k
AD = 33
AP + PD = 33
2k + k = 33
3k = 33
k = 11
So, AP = 2k = 2(11) = 22
Answer:
84.05 lbs, I think...
Step-by-step explanation:
I divided 164 by 80 and got 2.05
Then I multiplied 2.04 by 41.......I might be wrong... But hopefully I'm not..
Answer:
add 16 to both sides so it would 2x=-48 then you would divide 2 on both sides so it would be x=-24
Step-by-step explanation:
X=-24
Answer:
16.38 meters represents the greatest amount of change in her depth over a single 5-minute period
Step-by-step explanation:
From time = 0 to time = 5 the amount of change in her depth was -12.45 - 0 = -12.45 meters
From time = 5 to time = 10 the amount of change in her depth was -9.7 - (-12.45) = -2.75 meters
From time = 10 to time = 15 the amount of change in her depth was -22.98 - (-9.7) = -13.28 meters
From time = 15 to time = 20 the amount of change in her depth was -6.6 - (-22.98) = 16.38 meters