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kupik [55]
3 years ago
15

At Luby's, an adult's meal is $7.50 and a kid's meal

Mathematics
1 answer:
jasenka [17]3 years ago
8 0
Before i try and answer this do u have a graph
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Determine the minimum value of f(x, y, z) = 2x 2 + y 2 + 2z 2 + 5 subject to the constraint 3x + 2y + 3z = 4. +
vlada-n [284]
<span>We want to optimize f(x,y,z)=x^2 y^2 z^2, subject to g(x,y,z) = x^2 + y^2 + z^2 = 289. 

Then, ∇f = λ∇g ==> <2xy^2 z^2, 2x^2 yz^2, 2x^2 y^2 z> = λ<2x, 2y, 2z>. 

Equating like entries: 
xy^2 z^2 = λx 
x^2 yz^2 = λy 
x^2 y^2 z = λz. 

Hence, x^2 y^2 z^2 = λx^2 = λy^2 = λz^2. 

(i) If λ = 0, then at least one of x, y, z is 0, and thus f(x,y,z) = 0 <---Minimum 
(Note that there are infinitely many such points.) 
(f being a perfect square implies that this has to be the minimum.) 

(ii) Otherwise, we have x^2 = y^2 = z^2. 
Substituting this into g yields 3x^2 = 289 ==> x = ±17/√3. 

This yields eight critical points (all signage possibilities) 
(x, y, z) = (±17/√3, ±17/√3, ±17/√3), and  
f(±17/√3, ±17/√3, ±17/√3) = (289/3)^3 <----Maximum 

I hope this helps! </span><span>
</span>
8 0
3 years ago
Carol gave a 15 deposit on a diamond bracelet. The deposit was $73.50. What was the cost of the bracelet?
leva [86]
You probably meant 15%
if so,

\frac{73.50}{.15} = 490
4 0
3 years ago
Which is greater -2 or -2/3
Semmy [17]

Answer:

-2/3

Step-by-step explanation:

-2/3 is greater because it is closer to 0/positive than -2.

5 0
2 years ago
“Peaches at the Farmer’s Market cost $2.70 per pound.”
koban [17]

Answer:

non-proportional

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
7² ft
Lapatulllka [165]
It’s is 6 because I added it all up and all you have to do is division
3 0
3 years ago
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