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Angelina_Jolie [31]

4 years ago

12

Solve express the answer in simplest form. 1/5+w=7 1/3 w=__ _/_

1 answer:

andre [41]4 years ago

3 0

1/5+w=7 1/3 7 1/3-1/5 -1/5 -1/5 7 5/15-3/15= 7 2/15 w= 7 2/15

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Subtract (4x-3y) from the sun of (12x+9y) and (-2y)

Svetlanka [38]

to begin with, we have to add 12x+9y+-2y we add like terms(y and y)

12x+7y

next, we have to subtract 4x-3y from 12x+9y

(12x+9y)-(4x-3y)

our answer is: 8x+12y

6 0

3 years ago

Find the percent of the area under the density curve where x is less than 3

fredd [130]

Answer:

The area under the density curve is equal to 100 percent of all probabilities. As we usually use decimals in probabilities you can also say that the area is equal to 1 (because 100% as a decimal is

3 0

3 years ago

Read 2 more answers

The equations that must be solved for maximum or minimum values of a differentiable function w=f(x,y,z) subject to two constrai

sammy [17]

The Lagrangian is

$L(x,y,z,\lambda,\mu)=x^2+y^2+z^2+\lambda(4x^2+4y^2-z^2)+\mu(2x+4z-2)$

with partial derivatives (set equal to 0)

$L_x=2x+8\lambda x+2\mu=0\implies x(1+4\lambda)+\mu=0$

$L_y=2y+8\lambda y=0\implies y(1+4\lambda)=0$

$L_z=2z-2\lambda z+4\mu=0\implies z(1-\lambda)+2\mu=0$

$L_\lambda=4x^2+4y^2-z^2=0$

$L_\mu=2x+4z-2=0\implies x+2z=1$

Case 1: If $y=0$ , then

$4x^2-z^2=0\implies4x^2=z^2\implies2|x|=|z|$

Then

$x+2z=1\implies x=1-2z\implies2|1-2z|=|z|\implies z=\dfrac25\text{ or }z=\dfrac23$

$\implies x=\dfrac15\text{ or }x=-\dfrac13$

So we have two critical points, $\left(\dfrac15,0,\dfrac25\right)$ and $\left(-\dfrac13,0,\dfrac23\right)$

Case 2: If $\lambda=-\dfrac14$ , then in the first equation we get

$x(1+4\lambda)+\mu=\mu=0$

and from the third equation,

$z(1-\lambda)+2\mu=\dfrac54z=0\implies z=0$

Then

$x+2z=1\implies x=1$

$4x^2+4y^2-z^2=0\implies1+y^2=0$

but there are no real solutions for $y$ , so this case yields no additional critical points.

So at the two critical points we've found, we get extreme values of

$f\left(\dfrac15,0,\dfrac25\right)=\dfrac15$ (min)

and

$f\left(-\dfrac13,0,\dfrac23\right)=\dfrac59$ (max)

5 0

4 years ago

The water level at Lake Penny changed −1 1/10 in. this year. Next year, it is predicted to change another −1 2/5

frutty [35]

- 1 1/10 + (-1 2/5)

- 1 1/10 + (-1 4/5)

-2 5/10

-2 1/2

7 0

4 years ago

One study shows that American adults eat about 31 pounds of cheese each year. How many years does it take for an adult to eat 1,

ladessa [460]

Answer:

It would take 48 years for adults to eat 1,500 pounds of cheese.

Step-by-step explanation:

1,500 ÷ 31 = 48

— based on my knowledge

8 0

3 years ago