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2 years ago

7

The store is selling lemons at $0.66 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l

emons to make three 9-inch lemon pies, each requiring half a cup of lemon juice?

1 answer:

seraphim [82]2 years ago

8 0

Answer:

$7.92

Step-by-step explanation:

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This extreme value problem has a solution with both a maximum value and a minimum value. use lagrange multipliers to find the ex

noname [10]

$L(x,y,z,\lambda)=10x+10y+2z+\lambda(5x^2+5y^2+2z^2-42)$

$L_x=10+10\lambda x=0\implies1+\lambda x=0$

$L_y=10+10\lambda y=0\implies1+\lambda y=0$

$L_z=2+4\lambda z=0\implies1+2\lambda z=0$

$L_\lambda=5x^2+5y^2+2z^2-42=0$

$\begin{cases}L_x=0\\L_y=0\\L_z=0\end{cases}\implies1+\lambda x=1+\lambda y=1+2\lambda z=0\implies x=y=2z$

$5x^2+5y^2+2z^2=5(2z)^2+5(2z)^2+2z^2=42z^2=42\implies z^2=1$

$z^2=1\implies z=\pm1\implies x=y=\pm2$

There are two critical points, at which we have

$f\left(2,2,1\right)=42\text{ (a maximum value)}$

$f\left(-2,-2,-1\right)=-42\text{ (a minimum value)}$

3 0

3 years ago

Solve for x............

Yanka [14]

Step-by-step explanation:

because angle A and C are similar, so

9x-8=28

9x=36

x=4

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3 years ago

Which is the domain of y=10-2x^

liberstina [14]

Y=10x

hope this helped, have a good day

8 0

3 years ago

Can i get some help i suck at this lol

blsea [12.9K]

That would be 8, its in the center so forget 9 or 7.

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3 years ago

Help me please!<br> If you get it right, I’ll will brainliest u!!

juin [17]

Answer:

c) if x=2, then 4x=8

Step-by-step explanation:

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2 years ago