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Alona [7]
3 years ago
9

3a and a+a+a plssss help me on this question

Mathematics
2 answers:
Nadya [2.5K]3 years ago
6 0

Answer:

a + a + a = 3a

Step-by-step explanation:

let me know if there is more to the question

Ad libitum [116K]3 years ago
6 0
A square which means a3
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HELP ME PLEASE.
Mrac [35]

Answer:$51.2

Step-by-step explanation:

We have been given that at the restaurant, the cost of the meal before tax was $40. The tax is 8.5%.

The cost after tax would be .

Sheri wants to leave at least an 18% tip. The cost of meal after tip would be .

Therefore, the total cost of the dinner would be $51.2.

6 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
Solve the equation.<br> W2 = 31<br> W=
natima [27]

Answer:

w = 15.5

Step-by-step explanation:

31/2=15.5

8 0
3 years ago
7 more than the product of 4 and a number is 12
Anastasy [175]
4*x+7=12
4*x=5
x=5/4
The number is 5/4
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3 years ago
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Im the free coins girl lol
ehidna [41]

Answer:

what

Step-by-step explanation:

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