Answer:
possible maximum and minimum values : f (1,1), f (-1,-1)
Step-by-step explanation:
Given function :
f(x,y) = x^2 + y^2
constraint = xy = 1
attached below is the detailed solution of the method of using Lagrange method of Multipliers to find the maximum and minimum values of the function
Answer:
Step-by-step explanation:
Answer:
acute and isosceles
Step-by-step explanation:
acute because all angles less than 90
isosceles because 2 sides are equal length
Answer: 160 songs.
Step-by-step explanation:
<em>75% hip hop music - 120 songs
</em>
<em>100% all music - x songs
</em>
<em>Let's write the proportion:</em>
<em />
<em />
<em>Thus, Landon have 160 songs in his music library.</em>
Ann wants to choose from two telephone plans. Plan A involves a fixed charge of $10 per month and call charges at $0.10 per minute. Plan B involves a fixed charge of $15 per month and call charges at $0.08 per minute.
Plan A $10 + .10/minute
Plan B $15 + .08/minute
If 250 minutes are used:
Plan A: $10+$25=$35
Plan B: $15+$20=$35
If 400 minutes are used:
Plan A: $10+$40=$50
Plan B: $15+$32=$47
B is the correct answer. How to test it:
Plan A: $10+(.10*249 minutes)
$10+$24.9=$34.9
Plan B: $15+(.08*249 minutes)
$15+$19.92=$34.92
Plan A < Plan B if less than 250 minutes are used.