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3 years ago

(add. write your answer as a fraction, as a whole or as a mixed number)

Mathematics

1 answer:

Eduardwww [97]3 years ago

5 0

Answer:

3 and 1/12

Step-by-step explanation:

hope this helps! :)

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A real estate broker sold your house for $72,000. The broker's commission was 6% of the selling price. How much would you get fo

Jobisdone [24]

The answer is c because 72,000-6% =67680

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3 years ago

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Step-by-step explanation:

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2 years ago

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Multiply.

Alik [6]

Answer:

Simplify the expression.

Exact Form:

77 /10

Decimal Form:

7.7

Mixed Number Form:

Hope This Helps

8 0

3 years ago

Find the minimum and maximum of f(x, y, z) = y + 4z subject to two constraints, 2x + z = 4 and x2 + y2 = 1. g

yuradex [85]

$L(x,y,z,\lambda_1,\lambda_2)=y+4z+\lambda_1(2x+z-4)+\lambda_2(x^2+y^2-1)$

$L_x=2\lambda_1+2\lambda_2 x=0\implies\lambda_1+\lambda_2x=0$
$L_y=1+2\lambda_2y=0$
$L_z=4+\lambda_1=0\implies\lambda_1=-4$
$L_{\lambda_1}=2x+z-4=0$
$L_{\lambda_2}=x^2+y^2-1=0$

$\lambda_1=-4\implies \lambda_2x=4\implies\lambda_2=\dfrac4x$
$1+2\lambda_2y=0\implies\lambda_2y=-\dfrac12\implies8y=-x$

$x^2+y^2=1\implies (-8y)^2+y^2=65y^2=1\implies y=\pm\dfrac1{\sqrt{65}}$
$y=\pm\dfrac1{\sqrt{65}}\implies x=\mp\dfrac8{\sqrt{65}}$
$2x+z=4\implies z=4\pm\dfrac{16}{\sqrt{65}}$

We have two critical points to consider: $\left(-\dfrac8{\sqrt{65}},\dfrac1{\sqrt{65}},4+\dfrac{16}{\sqrt{65}}\right)$ and $\left(\dfrac8{\sqrt{65}},-\dfrac1{\sqrt{65}},4-\dfrac{16}{\sqrt{65}}\right)$ .

At these points, we respectively have a maximum of $16+\sqrt{65}$ and a minimum of $16-\sqrt{65}$ .

6 0

3 years ago

Ji Sunn spent $24 at the local farmer’s market. She bought apples that cost $4 per pound and raspberries that cost $6 per pound.

Ket [755]

Answer:

r = 4- 2a/3

In the words of the problem, its r = 4 minus two-thirds a

Step-by-step explanation:

You can set up a general equation for this problem, and then solve for r to get your answer. In this case its:

4a + 6r = 24

Now move 4a to the other side by subtracting 4a from both sides:

6r = 24-4a

Finally, divide both sides by 6 to get:

r = 4- 2a/3

In the words of the problem, its r = 4 minus two-thirds a

4 0

3 years ago

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