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Wittaler [7]
3 years ago
13

(5 points)

Mathematics
1 answer:
artcher [175]3 years ago
7 0
2,-2 because it goes by the coordinate x,y.
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Solve the equation graphically: 12x-7y=-6 5x-7y=27
valkas [14]

Answer:

x=33/17,y=42/17

4 0
3 years ago
This extreme value problem has a solution with both a maximum value and a minimum value. Use Lagrange multipliers to find the ex
olga nikolaevna [1]

f(x_1,\ldots,x_n)=x_1+\cdots+x_n=\displaystyle\sum_{i=1}^nx_i

{x_1}^2+\cdots+{x_n}^2=\displaystyle\sum_{i=1}^n{x_i}^2=4

The Lagrangian is

L(x_1,\ldots,x_n,\lambda)=\displaystyle\sum_{i=1}^nx_i+\lambda\left(\sum_{i=1}^n{x_i}^2-4\right)

with partial derivatives (all set equal to 0)

L_{x_i}=1+2\lambda x_i=0\implies x_i=-\dfrac1{2\lambda}

for 1\le i\le n, and

L_\lambda=\displaystyle\sum_{i=1}^n{x_i}^2-4=0

Substituting each x_i into the second sum gives

\displaystyle\sum_{i=1}^n\left(-\frac1{2\lambda}\right)^2=4\implies\dfrac n{4\lambda^2}=4\implies\lambda=\pm\frac{\sqrt n}4

Then we get two critical points,

x_i=-\dfrac1{2\frac{\sqrt n}4}=-\dfrac2{\sqrt n}

or

x_i=-\dfrac1{2\left(-\frac{\sqrt n}4\right)}=\dfrac2{\sqrt n}

At these points we get a value of f(x_1,\cdots,x_n)=\pm2\sqrt n, i.e. a maximum value of 2\sqrt n and a minimum value of -2\sqrt n.

6 0
3 years ago
Multiply. Write your answer as a fraction in simplest form.<br> 2x7/16
Orlov [11]

Answer:

7/8

Step-by-step explanation:

7/16×2=7/16×2/1

          =14/16

          =7/8

3 0
3 years ago
A stadium has 47,000 seats. Seats sell for ​$28 in Section​ A, ​$24 in Section​ B, and ​$20 in Section C. The number of seats in
mote1985 [20]
A:23,500 seats
B and C: both have 11,750 seats
7 0
3 years ago
Dominic is 1.75 meters tall. At 2 p.m., he measures the length of a tree's shadow to be 37.95 meters. He stands 33.7 meters away
Mama L [17]

Using similarity principle, the height of the tree is 1.97 meters

<h3>How to find height of the tree?</h3>

He is 1.75 meters tall.

His shadow = 33.7 meters

The length of the tree shadows = 37.95 meters

Using similarity principles where the corresponding length are a ratio of each other.

Therefore,

1.75 / x = 33.7 / 37.95

cross multiply

37.95 × 1.75 = 33.7x

66.4125 = 33.7x

divide both sides by 33.7

x = 66.4125 / 33.7

x = 1.97069732938

x = 1.97 meters

learn more on height here:brainly.com/question/27522065

#SPJ1

7 0
1 year ago
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