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3 years ago

8

X² - 7 what does equal to

1 answer:

andrezito [222]3 years ago

3 0

Answer:

X-7

Step-by-step explanation:

X the second power is x

X-7 would be the next step and that should be the answer.

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Simplify.<br> N4 x N7 over n5

Alinara [238K]

Answer:

$n^6$ .

Step-by-step explanation:

$n^4 * \frac{n^7}{n^5}$

= $n^4 * n^{7 - 5}$

= $n^4 * n^2$

= $n^{4 + 2}$

= $n^6$ .

Hope this helps!

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3 years ago

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What type of simple machine is a vise and what does it do also what is a crow bar

mel-nik [20]

A crow bar is a bar that help you lift thing up

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3 years ago

Find the absolute maximum and absolute minimum values of the function f(x, y) = x 2 + y 2 − x 2 y + 7 on the set d = {(x, y) : |

dsp73

Looks like $f(x,y)=x^2+y^2-x^2y+7$ .

$f_x=2x-2xy=0\implies2x(1-y)=0\implies x=0\text{ or }y=1$

$f_y=2y-x^2=0\implies2y=x^2$

If $x=0$ , then $y=0$ - critical point at (0, 0).
If $y=1$ , then $x=\pm\sqrt2$ - two critical points at $(-\sqrt2,1)$ and $(\sqrt2,1)$

The latter two critical points occur outside of $D$ since $|\pm\sqrt2|>1$ so we ignore those points.

The Hessian matrix for this function is

$H(x,y)=\begin{bmatrix}f_{xx}&f_{xy}\\f_{yx}&f_{yy}\end{bmatrix}=\begin{bmatrix}2-2y&-2x\\-2x&2\end{bmatrix}$

The value of its determinant at (0, 0) is $\det H(0,0)=4>0$ , which means a minimum occurs at the point, and we have $f(0,0)=7$ .

Now consider each boundary:

If $x=1$ , then

$f(1,y)=8-y+y^2=\left(y-\dfrac12\right)^2+\dfrac{31}4$

which has 3 extreme values over the interval $-1\le y\le1$ of 31/4 = 7.75 at the point (1, 1/2); 8 at (1, 1); and 10 at (1, -1).

If $x=-1$ , then

$f(-1,y)=8-y+y^2$

and we get the same extrema as in the previous case: 8 at (-1, 1), and 10 at (-1, -1).

If $y=1$ , then

$f(x,1)=8$

which doesn't tell us about anything we don't already know (namely that 8 is an extreme value).

If $y=-1$ , then

$f(x,-1)=2x^2+8$

which has 3 extreme values, but the previous cases already include them.

Hence $f(x,y)$ has absolute maxima of 10 at the points (1, -1) and (-1, -1) and an absolute minimum of 0 at (0, 0).

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3 years ago

I need help what is 3.45 x (-2.8)<br> please show steps

guajiro [1.7K]

gShbtep-by-step explanajtiottdhjbgbfgtvjhjnjh:ttttt

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2 years ago

If Jun has 12 t-shirts, 6 pairs of pants, and 3 pair of shoes how many ways can he dress himself up for the day?

Serjik [45]

12 x 6 x 3 =216. He can dress himself up in 216 different ways.

I hope this helps!

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3 years ago