Answer:
- k ≥ -6
Step-by-step explanation:
- Re-arrange:
- Multiply each side by -8 to cancel out the -8 under k. It should now look like this: k ≥ -6
I hope this helps!
Answer:
b) It has a value less than 2
Step-by-step explanation:
Divide both sides of the inequality by 12 to get
t < 2 so the answer is b)
I assume there are some plus signs that aren't rendering for some reason, so that the plane should be

.
You're minimizing

subject to the constraint

. Note that

and

attain their extrema at the same values of

, so we'll be working with the squared distance to avoid working out some slightly more complicated partial derivatives later.
The Lagrangian is

Take your partial derivatives and set them equal to 0:

Adding the first three equations together yields

and plugging this into the first three equations, you find a critical point at

.
The squared distance is then

, which means the shortest distance must be

.
Answer:
74 eggs are left
Step-by-step explanation:
91-17=74