FP!!!!!!!!!!!!!!!!!!!!! (10 x 100 ) + 980 = ?

6x= 2y-4 Solve for x please

NeTakaya

Answer:

Slope=3

x−intercept=−

3

2

=−0.66667

y−intercept=

1

2

=2.00000

Step-by-step explanation:

4 0

3 years ago

Use Lagrange multipliers to find the maximum and minimum values of f(x,y)=x+4y subject to the constraint x2+y2=9, if such values

Vesnalui [34]

The Lagrangian is

$L(x,y,\lambda)=x+4y+\lambda(x^2+y^2-9)$

with critical points where the partial derivatives vanish.

$L_x=1+2\lambda x=0\implies x=-\dfrac1{2\lambda}$

$L_y=4+2\lambda y=0\implies y=-\dfrac2\lambda$

$L_\lambda=x^2+y^2-9=0$

Substitute $x,y$ into the last equation and solve for $\lambda$ :

$\left(-\dfrac1{2\lambda}\right)^2+\left(-\dfrac2\lambda\right)^2=9\implies\lambda=\pm\dfrac{\sqrt{17}}6$

Then we get two critical points,

$(x,y)=\left(-\dfrac3{\sqrt{17}},-\dfrac{12}{\sqrt{17}}\right)\text{ and }(x,y)=\left(\dfrac3{\sqrt{17}},\dfrac{12}{\sqrt{17}}\right)$

We get an absolute maximum of $3\sqrt{17}\approx12.369$ at the second point, and an absolute minimum of $-3\sqrt{17}\approx-12.369$ at the first point.

4 0

2 years ago

White alphabet used to denote matrix and its element with example

Oksanka [162]

Answer:

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Step-by-step explanation:

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3 0

2 years ago

If a spinner for a game is spun once, there is a 25% chance it will land on

bonufazy [111]

Answer:

$Pr = 0.6$