3 years ago

Simplify the expression.

Mathematics

1 answer:

Annette [7]3 years ago

7 0

2 that divide sign 6
use that signt that is with the 24 Answer is 2 sign 6

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Write the equation of the line with x-intercept of 3 and y-intercept of -5, in point-slope form.

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Y-0=5/3(x-3) that is it I think

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The volume of this right trapezoidal prism is 341.25 ft³.

podryga [215]

Answer:10.5

Step-by-step explanation: I hope this helps

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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 $16-\sqrt{65}$ .

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3 years ago

A farmer can harvest 54 pounds of corn from each acre in his

vfiekz [6]

Answer:

675 pounds

Step-by-step explanation:

12.5 multiplied by 54 He gets 54 pounds from one acre and he has 12.5 acres so each acre is 54 pounds.

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Choose the graph of the solution to this inequality.

qwelly [4]

Answer:

Step-by-step explanation:

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