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3 years ago

2. Classify the expression.

Mathematics

1 answer:

Ber [7]3 years ago

3 0

Is c quadratic trinomial I have the same quiz

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Which fraction is represented by the red portion of the picture?

kogti [31]

B. 2/3

bcuz there are 3 slices and 2 of them are shaded

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2 years ago

What is the absolute value of -135

sammy [17]

135

with math any absolute number cant be negative so you just make it positive

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2 years ago

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What is the volume of a sphere with a diameter of 9 in.?

a_sh-v [17]

Answer: 121.5 in³

Explanation:

$\textnormal{Volume }= \cfrac{4}{3} \pi (4.5)^3 = 121.5 \pi \ in^3$

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3 years ago

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EXAMPLE 5 Find the maximum value of the function f(x, y, z) = x + 2y + 9z on the curve of intersection of the plane x − y + z =

geniusboy [140]

The Lagrangian,

$L(x,y,z,\lambda,\mu)=x+2y+9z-\lambda(x-y+z-1)-\mu(x^2+y^2-1)$

has critical points where its partial derivatives vanish:

$L_x=1-\lambda-2\mu x=0$

$L_y=2+\lambda-2\mu y=0$

$L_z=9-\lambda=0$

$L_\lambda=x-y+z-1=0$

$L_\mu=x^2+y^2-1=0$

$L_z=0$ tells us $\lambda=9$ , so that

$L_x=0\implies-8-2\mu x=0\implies x=-\dfrac4\mu$

$L_y=0\implies11-2\mu y=0\implies y=\dfrac{11}{2\mu}$

Then with $L_\mu=0$ , we get

$x^2+y^2=\dfrac{16}{\mu^2}+\dfrac{121}{4\mu^2}=1\implies\mu=\pm\dfrac{\sqrt{185}}2$

and $L_\lambda=0$ tells us

$x-y+z=-\dfrac4\mu-\dfrac{11}{2\mu}+z=1\implies z=1+\dfrac{19}{2\mu}$

Then there are two critical points, $\left(\pm\frac8{\sqrt{185}},\mp\frac{11}{\sqrt{185}},1\pm\frac{19}{\sqrt{185}}\right)$ . The critical point with the negative $x$ -coordinates gives the maximum value, $9+\sqrt{185}$ .

8 0

3 years ago

Jacqueline’s purchase before sales tax totaled $32. The total including tax was $33.92. What was the sales tax rate?

Usimov [2.4K]

------------------------------------------------------------------
Find Sales Tax
------------------------------------------------------------------
$33.92 - $32 = $1.92

------------------------------------------------------------------
Find Sales Tax Rate
------------------------------------------------------------------
$\text {Sales Tax = } \dfrac{1.92}{32} \times 100$

$\text {Sales Tax = } 6 \%$

3 0

3 years ago