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3 years ago

PLEASE HELP! THANK YOU! :D

Mathematics

2 answers:

Ostrovityanka [42]3 years ago

6 0

I think it’s C. Sorry if I’m incorrect

nlexa [21]3 years ago

6 0

I feel like it’s c too

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Help bbbbbbbbbbbbbbbbbbb

Sergio [31]

Answer:

Step-by-step explanation:

it is 6/6

if it is right brainliest pls thanks

6 0

2 years ago

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Please help me with these two questions, i will give brainliest

valentinak56 [21]

Answer:

5. No, Triangle J K L is a Reflection, not a translation

6. Its 11 to the right, and 2 up

8 0

3 years ago

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Find the critical points of the surface f(x, y) = x3 - 6xy + y3 and determine their nature.

Vedmedyk [2.9K]

Compute the gradient of $f$ .

$\nabla f(x,y) = \left\langle 3x^2 - 6y, -6x + 3y^2\right\rangle$

Set this equal to the zero vector and solve for the critical points.

$3x^2-6y = 0 \implies x^2 = 2y$

$-6x+3y^2=0 \implies y^2 = 2x \implies y = \pm\sqrt{2x}$

$\implies x^2 = \pm2\sqrt{2x}$

$\implies x^4 = 8x$

$\implies x^4 - 8x = 0$

$\implies x (x-2) (x^2 + 2x + 4) = 0$

$\implies x = 0 \text{ or } x-2 = 0 \text{ or } x^2 + 2x + 4 = 0$

$\implies x = 0 \text{ or } x = 2 \text{ or } (x+1)^2 + 3 = 0$

The last case has no real solution, so we can ignore it.

Now,

$x=0 \implies 0^2 = 2y \implies y=0$

$x=2 \implies 2^2 = 2y \implies y=2$

so we have two critical points (0, 0) and (2, 2).

Compute the Hessian matrix (i.e. Jacobian of the gradient).

$H(x,y) = \begin{bmatrix} 6x & -6 \\ -6 & 6y \end{bmatrix}$

Check the sign of the determinant of the Hessian at each of the critical points.

$\det H(0,0) = \begin{vmatrix} 0 & -6 \\ -6 & 0 \end{vmatrix} = -36 < 0$

which indicates a saddle point at (0, 0);

$\det H(2,2) = \begin{vmatrix} 12 & -6 \\ -6 & 12 \end{vmatrix} = 108 > 0$

We also have $f_{xx}(2,2) = 12 > 0$ , which together indicate a local minimum at (2, 2).

3 0

2 years ago

Please help me solve fast I need to submit today

andrew-mc [135]

Answer:

Step-by-step explanation:

Average age of 5 boys = 11 year

Sum of age of 5 boys = 11*5 = 55

Age of sixth boy = 17 years

Sum of age of 6 boys = 55 + 17 = 72

Average age of 6 boys= 72/6 = 12

7 0

3 years ago

This year, you owed $6,414.95 in federal income tax. if you are taxed at a net rate of 17%, what was your taxable income for thi

nydimaria [60]

The taxable income for this year will be $37,735. Then the correct option is D.

<h3>What is the percentage?</h3>

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

This year, you owed $6,414.95 in federal income tax.

If you are taxed at a net rate of 17%.

Then the taxable income for this year will be given by

$\rm Taxable\ income = \dfrac{6414.96}{0.17}\\\\Taxable\ income = 37735.05 \approx 37735$

More about the percentage link is given below.

brainly.com/question/8011401

7 0

3 years ago

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