I need this answered soon please!​

Answer: minimum value of f = -2  and maximum value  of f = 2

Step-by-step explanation:

Given that;

f(x, y) = xy; 4x² + y² = 8

S(x,y) = xy + λ(4x² + y² - 8)

dS/dλ = 4x² + y² - 8 = 0

dS/dx = y + 8λx = 0 -> y = -8λx  

dS/dy = x + 2yλ = 0 -> x + 2λ(-8λx) = x(1 - 16λ²) = x(1-4λ)(1+4λ) = 0

-> x = 0 , λ = 1/4 , λ = -1/4

x = 0 -> y = 0 -> it doesn't satisfy 4x² + y² = 8

λ = 1/4 -> y = -8λx = -2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = 2 , -2

λ = -1/4 -> y = -8λx = 2x -> 4x² + y² = 8x² = 8 -> x = -1 , 1 -> y = -2 , 2

we have 4 critical points:

(-1, 2) -> f = -2

(1, 2) -> f = 2

(-1, -2) -> f = 2

(1 , -2) -> f = -2  

Therefore; minimum value of f = -2  and maximum value  of f = 2

Answer:

Jenn's account

Step-by-step explanation:

Given that:

LINDSAY'S ACCOUNT :

Principal = amount deposited = $250

Final Amount after 1 year = $253

Period (t) = 1 year

JENN'S ACCOUNT :

Principal = amount deposited = $250

Final Amount after 2 years = $257.50

Period (t) = 2 year

Using the relation :

A = P(1 + rt)

A = final amount ; r = interest rate ; t = time

Lindsay :

253 = 250(1 + r(1))

253 = 250 + 250r

253 - 250 = 250r

3 = 250r

r = 3/250

r = 0.012 ; (0.012 * 100) = 1.2%

Jenn:

257.50 = 250(1 + r(2))

257.50 = 250 + 500r

257.50 - 250 = 500r

7.50 = 500r

r = 7.50/500

r = 0.015 ; (0.015 * 100) = 1.5%

Hence, JENN'S deposit has the greater interest rate. (1.5 > 1.2)%

Answer:Sample response:Lindsay’s interest is $3 for one year. Using the formula for interest, I = prt, Lindsey’s money is earning at a rate of 1.2%. Jenn has earned $3.75 for one year. Her money is earning at a rate of 1.5%, which is a higher interest rate.

Step-by-step explanation: please make me brainliest

9514 1404 393

Answer:

  slope = k/2

Step-by-step explanation:

The slope formula is useful for finding slope.

  m = (y2 -y1)/(x2 -x1)

  m = (5k -7k)/(-3 -1)

  m = -2k/-4

  m = k/2

The slope is k/2.

200 shirts x $30 = $6000

Total sales would be $6000

Profit = 6000 - 5400 = $600

Divide profit by cost:

600/5400 = 0.1111

Multiply by 100 for percentage:

0.111 x 100 = 11.1%

Rounding to nearest percent would be 11% markup

Answer:

is it 2.00?

Step-by-step explanation:

Answer:

the last one

Step-by-step explanation:

super easy bro tell me if its right

Answer:

12

Step-by-step explanation:

Answer:

Max is 17 years old and Bert is 11 years old

Step-by-step explanation:

System of Equations

Let's call

x = current age of Max

y = current age of Bert

x - 5 = age of Max five years ago

y - 5 = age of Bert five years ago

x + 1 = age of Max one year from now

y + 1 = age of Bert one year from now

According to the conditions of the problem:

x - 5 = 2(y - 5)        [1]

x + 1 + y + 1 = 30        [2]

Operating and simplifying [1]:

x - 5 = 2y - 10

x = 2y - 5       [3]

Operating and simplifying [2]:

x + y + 2 = 30

x + y = 28        [4]

Substituting [3] in [4]:

2y - 5 + y = 28

Simplifying:

3y - 5 = 28

3y = 33

y = 33/3

y = 11

From [3]:

x = 2*11 - 5

x = 22 - 5

x = 17

Max is 17 years old and Bert is 11 years old

Answer:

B. $2,565

Step-by-step explanation:

Answer:

∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.

Step-by-step explanation:

The Angle-Side-Angle (ASA) Congruence criteria says that two triangles are congruent to each other if two angles and an included side of one triangle is congruent to two corresponding angles and a corresponding included side of the other triangle.

In the diagram given, the two angles were given (<B and <C), however, the side given (side AB) does not lie in the middle of <B and <C, hence it is NOT AN INCLUDED SIDE. The same applies to ∆XYZ.

Therefore, ∆ABC and ∆XYZ cannot be proven to be congruent to each other according to the Angle-Side-Angle (ASA) Congruence criteria.

Answer:

³⅜

Step-by-step explanation:

⁴⁵⅖

+⁷⅝×⅖i

I HOPE IT HELP TYSM

Answer:

i dunno

Step-by-step explanation:

Answer:

252 sq. in.

Step-by-step explanation:

divide it into sections like this

12*15=180

3*6=18

6*9=54

then add it all together. sometimes it is more complicated, but as long as none of the divided parts overlap this will be correct for any shape, as long as you account for the whole shape.

Answer:

She will have saved $195

Step-by-step explanation:

If we had her two paychecks together she will have saved $650.

30% of 650 = 195

We get this by taking 650 times .3

Answer:D

Step-by-step explanation: trust me ima sophomore use this for help y=1/2x+4 then x value change it to the number in the x section then if the y appears just like in the box the y section it’s correct

9514 1404 393

Answer:

  points closest to zero will give the least change; those farthest away will give the greatest change. Listing the points in order by distance from 0 will put them in order by amount of change.

Step-by-step explanation:

The amount of change is the absolute value of the number on the number line. That value is the (positive) distance from 0. The numbers will most easily be compared if they are all put on one side of zero. For example, -1.75 and 1.75 are the same distance from zero, as are -3.25 and 3.25.

Listing the points in order by distance from 0 will put them in order by amount of change. In order, least change to greatest change, the numbers are ...

  -1.75, 2.50, -3.25, -3.50, 4.75

Answer:

C. x = 3

Step-by-step explanation:

because it is not a function, it's an answer. The other equations are all equal to y, which you can find the x and the y for a coordinate, but for c you have just x, and without y you can't have a function.

Answer:

x = 3

Step-by-step explanation:

Think about an archery practice. One target can get hit by multiple archers, but an archer can only shoot one arrow. Therefore its x = 3, because the same x value can not hit every y. Hope this helps, its for more visual learners.

Archers (x)    Targets (y)

     X               O

     X               O

     X               O

     X               O

Answer:

C

Step-by-step explanation:

Answer: C

Step-by-step explanation: i did it

Answer:

54

Step-by-step explanation:

Answer:

4 pounds

Step-by-step explanation:

Paulina has a suitcase full of clothes that weighs 4 4/7pounds. Rebecca has a suitcase full of clothes that weighs

7/8 of Paulina's suitcase. How many pounds does Rebecca's suitcase weigh?

Weight of Paulina's suitcase = 4 4/7 pounds = 32/7 pounds

Weight of Rebecca's suitcase = 7/8 of Paulina's suitcase

Hence, the weight of Rebecca's suitcase in pounds = 7/8 of 32/7 pounds

= 7/8 × 32/7

= 4 pounds

Therefore, Rebecca's suitcase weighs 4 pounds.

Answer:

4.3890563e+45!!

Step-by-step explanation:

Answer:

9.433981

Step-by-step explanation:

d=(−2−6)2+(−6−(−1))2−−−−−−−−−−−−−−−−−−−−−√  

d=(−8)2+(−5)2−−−−−−−−−−−−√

d=64+25−−−−−−√

d=8–√9

d=9.433981

Answer:

5 inches is equal to 12.7 centimeters.

Step-by-step explanation:

There is 2.54 centimeters in an inch so just multiply that by 5 and you get 12.7.

Answer:

12.70 cm hope it is right

Step-by-step explanation:

Answer:

a)  1/10 x 5/10 = 1/20

b) 1/10 x 5/9 = 1/18

Step-by-step explanation:

a) Probability of selecting one biography and then one mystery, with replacement: 1/20

b) Probability of selecting one biography and then one mystery, without replacement: approximately 0.0556 or 5.56%.

The probability of each situation can be calculated as follows:

a) Selecting one biography and then one mystery, with replacement:

With replacement means that after each selection, the book is put back on the shelf before the next selection.

The probability of selecting the biography first is 1 out of 10 books (since there is 1 biography out of 10 books).

The probability of selecting the mystery book next is 5 out of 10 books (since there are 5 mysteries out of 10 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/10) = 1/20

So, the probability of selecting one biography and then one mystery, with replacement, is 1/20.

b) Selecting one biography and then one mystery, without replacement:

Without replacement means that after each selection, the book is not put back on the shelf before the next selection.

The probability of selecting the biography first is still 1 out of 10 books.

However, after selecting the biography, there are now 9 books left on the shelf, and the probability of selecting a mystery is 5 out of 9 books (since there are 5 mysteries out of the remaining 9 books).

The overall probability is the product of the individual probabilities:

Probability = (1/10) * (5/9) ≈ 0.0556 or 5.56%

So, the probability of selecting one biography and then one mystery, without replacement, is approximately 0.0556 or 5.56%.

To know more about Probability, refer here:

https://brainly.com/question/27784798

#SPJ2

Answer:

B

Step-by-step explanation:

Because under the six there's a line so the line is there then you look at the four and equal it to it and that's how you know it's B

You're welcome

Answer: y=11/2

Step-by-step explanation:

r = 2x + 2y

29=2(9) + 2y

29=18 + 2y

11 = 2y

11/2 = y

Answer:

-5.5

Step-by-step explanation: