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2 years ago

Help me out please???

Mathematics

1 answer:

jeka57 [31]2 years ago

8 0

Answer: neither refer to image

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The average test score of three students in a class is 81 percentage points. if one student's score goes up by 2 percentage poin

ehidna [41]

To the find average of the test scores, we need to find the mean.

To find the mean, all we need to do is add up all the numbers and then divide the answer by how many numbers there are

81 + 83 + 85 = 249

249 ÷ 3 = 83

Therefore, the new average is 83

Hope this helps

3 0

3 years ago

Consider the function f(x, y) = x2 + xy + y2 defined on the unit disc, namely, d = {(x, y)| x2 + y2 ≤ 1}. use the method of lagr

Pani-rosa [81]

First we note that the partial derivatives vanish simultaneously at one point:

$\begin{cases}f_x=2x+y=0\\f_y=x+2y=0\end{cases}\implies(x,y)=(0,0)$

so there is one critical point within the region $D$ .

The Lagrangian is

$L(x,y,\lambda)=x^2+xy+y^2+\lambda(x^2+y^2-1)$

and has partial derivatives

$L_x=2x+y+2\lambda x$
$L_y=x+2y+2\lambda y$
$L_\lambda=x^2+y^2-1$

Set each partial derivative to 0 to find the possible critical points within the disk $D$ . Then we notice that

$yL_x=2xy+y^2+2\lambda xy=0$
$xL_y=x^2+2xy+2\lambda xy=0$
$L_\lambda=0\implies x^2+y^2=1$

$\implies xL_y-yL_x=x^2-y^2=0$

Since $x^2+y^2=1$ , we have

$x^2-y^2=x^2+y^2-2y^2=0\implies1=2y^2\implies y^2=\dfrac12\implies y=\pm\dfrac1{\sqrt2}$

And since $x^2-y^2=0$ , or $x^2=y^2$ , we also have

$x=\pm\dfrac1{\sqrt2}$

So we have four possible additional critical points to consider:

$f(0,0)=0$
$f\left(-\dfrac1{\sqrt2},-\dfrac1{\sqrt2}\right)=\dfrac32$
$f\left(-\dfrac1{\sqrt2},\dfrac1{\sqrt2}\right)=\dfrac12$
$f\left(\dfrac1{\sqrt2},-\dfrac1{\sqrt2}\right)=\dfrac12$
$f\left(\dfrac1{\sqrt2},\dfrac1{\sqrt2}\right)=\dfrac32$

It should be clear enough which of these correspond to the absolute extrema of $f$ over $D$ .

8 0

3 years ago

A plane takes off at 12:50 pm from a place airport. It is landed at another airport at 2:05pm how long was the flight?

Nezavi [6.7K]

Answer: 13 hours and 15 minutes

Step-by-step explanation:

Assuming that they are in the same time zones, you would

Convert the 12:50pm into 12:50am by adding 12 hours

Now just add the time from 12:50 to 2:05, which is 1 hour and 15 minutes

All together it equals 13 hours and 15 minutes.

4 0

9 months ago

Read 2 more answers

Hlw to find ghe area of a parallelogram

Black_prince [1.1K]

Answer:

Hope this helps! :')

Step-by-step explanation:

Opposite sides are equal in length and opposite angles are equal in measure. To find the area of a parallelogram, multiply the base by the height. The formula is: A = B * H where B is the base, H is the height, and * means multiply

7 0

2 years ago

Read 2 more answers

#7 I don't know how to solve this

____ [38]

30+1.95x=7.95x

so, 6x=30

x=5

3 0

2 years ago