what is the correct answer to x^2+y^2+4x-2y=-1

Answer:

hence the required minimum production level is 12units

Step-by-step explanation:

Given the cost function expressed as c(x) = x^3 - 24x^2 + 30,000x

The average cost function will be c(x)/x

Dividing the cost function through by x

Average cost function = c(x)/x = x³/x - 24x²/x + 30,000x/x

Average cost function = x²-24x + 30,000

A(x) = x²-24x + 30,000

If the average cost is minimized, hence dA/dx = 0

dA/dx = 2x - 24

0 = 2x - 24

-2x = -24

Divide both sides by -2

-2x/-2 = -24/-2

x = 12

For the second deriviative

d²A/dx² = 2 which is greater than zero

Hence a production level that will minimize the average cost per item of making x items is 12

The production level that will minimize the average cost per item of making x items is  x = 12

To find the minimum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.

Putting those values of x in the second rate of function, if results in negative output, then at that point, there is maxima. If the output is positive then its minima and if its 0, then we will have to find the third derivative (if it exists) and so on.

For this case, the function in consideration is: [tex]c(x) = x^3 - 24x^2 + 30000x[/tex]

This is cost function for x items' manufacturing.

The average cost per item would be c(x) / x

This gives us a function a(x) as:

[tex]a(x) = c(x)/x = x^2 -24x + 30000[/tex]

For finding  the minimum of a(x), getting its first two derivatives as:

[tex]a'(x) = 2x - 24\\a''(x) = 2 > 0[/tex]

Equating first rate to 0,

[tex]a'(x) = 2x - 24 = 0[/tex] critical point.

Since second rate is positive, the point x = 12 is point of minima, and since only one critical point is there, it is the point on which a(x) is minimum.

Thus, the production level that will minimize the average cost per item of making x items is  x = 12

Learn more about minima and maxima of a function here:

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Answer:

you didnt give a clear question

Step-by-step explanation:

wth

Answer: the original cost of the item is 90$

Step-by-step explanation:

30% off of the item = 27$

27 dollar is 30% of the item

thus 27 = 0.30X

0.30X = 27

time both side by 10

3X = 270

270/3 = 90

Answer:

name: pentagonal pyramid

bases: one

faces: 5

edges: 10

vertices: 6

Step-by-step explanation:

Answer:

yes, it is an acute triangle because all angles are less than 90 degrees.

Step-by-step explanation:

Answer:

Imma guess

8^3 + 12

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

74

Step-by-step explanation:

Mode is the number that shows up the most in the data.

Answer:

8

Step-by-step explanation:

This is a 45-45 traingle which mean that the two sides that aren't the hyptonouse are equal (because their angles are equal)

We will let x equal the length of one of the sides

we have

x²+x²=(4√2)²

2x²=32

x²=16

x=4

this means that the length of the two missing sides are 4

Now using the area of a traingle formula we can solve for the area

A=.5*b*h

.5*4*4=8

.5*4*4

Answer:

B. 25%

Step-by-step explanation:

Total 16 students

4 scored above 90

so 4/16= 0.25

Answer: 25%

plz mark me as brainliest.

Answer:

Commutative Property of Addition

Step-by-step explanation:

Answer:

0.3

Explanation:

you multiply all numbers together to get 0.3

Answer:

The percentage represented is 37.5%

Answer:

1.6% of customers

Step-by-step explanation:

Answer:

1)1/2

8)1/4

15)1/3

2)4/5

9)1/2

16)17/40

3)3/4

10)1/7

17)2/5

4)1/4

11)1/3

18)2/3

5)3/4

12)3/4

19)7/16

6)2/3

7)4/5

13)9/11

14)9/10

20)3/4

21)4/5

I tried (in your order and replace / with = if you want)

Answer:

36 1/8 feet

Step-by-step explanation:

x = height of house in feet

2"/8.5' = 8/5"/x

cross-multiply:

2x = 72.25

x = 36.125 or 36 1/8

Answer:

Maggie.

Step-by-step explanation:

37 is the prime number.

Answer:

Maggie wrote down a prime number

Answer:

Answer:

r = 6 in

Step-by-step explanation:

The volume of a cylinder of radius r and height or length h is

V = πr²h.

Here, we need to solve for the radius; we get:

     V

------------- = r²

     πh

                                       904.23 in³

This works out to    r² = ----------------- = 35.97 in²

                                            π(8 in)

Finally, take the square root of this result to find the radius, r:

r = √35.97 in² = 6 inches

Answer:Its D i hope

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

This is because the formula is 4×pi×r^2

So 4×pi×7^2

(7^2=49) now plug that in: 4×pi×49

Combine like terms: 4×49=196

Plug that into the equation: 196pi

Answer:

(6, -4) does not fit with these two equations

Step-by-step explanation:

y = 8 - 2x

x + 3y = 12

fit (6, -4) into the equations

-4 = 8 - 2(6)

8 - 2(6) = 8 - 12 = -4

works for this one

6 + 3(-4) = 12

6 + 3(-4) = 6 - 12 = -6

doesnt work for this one

Answer:

1. 62,3

2. 0,000129230769

3. 53424

4. 257027760

5. 382,081081

6. ?

7. 261,6

8. ?

9. 45,15

The first 10 pounds is $2 per pound so $2 x 10 = $20

She wants to pick 40 pounds so after the first 10 pounds she needs 40-10 = 30 more pounds.

The cost for those are $1 per pound so 30 x $1 = $30

Total cost = $20 + $30 = $50 for 40 pounds.

Answer:

90 hours

Step-by-step explanation:

{14, 4, -21}  is the range of the function if the domain is {-2, 0, 5}

A relationship between a group of inputs and one output is referred to as a function. In plain English, a function is an association between inputs in which each input is connected to precisely one output. A domain, codomain, or range exists for every function. Typically, f(x), where x is the input, is used to represent a function.

To find the range of the function, we need to plug each value in the domain into the given function and see what output (y-value) we get.

When x = -2:

y = -5(-2) + 4 = 14

When x = 0:

y = -5(0) + 4 = 4

When x = 5:

y = -5(5) + 4 = -21

So the range of the function is {14, 4, -21}.

Learn more about function here:

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Answer:

a1 = 1/6

r = 1/2

Step-by-step explanation:

Given the sequence

1/6,1/12,1/24

The sequence is a geometric sequence since they have a common ratio

r = 1/12÷1/6 = 1/24 ÷ 1/12

r = 1/12 * 6/1 = 1/24 * 12/1

r = 1/2

Since a1 is the first term, hence a1 is 1/6 and common ratio r is 1/2

Answer:

your answer is below

-20x +15

Answer:

b

Step-by-step explanation:

Given that Δ DEF and Δ ACB are congruent then corresponding angles are congruent.

ACB and DEF , that is ∠ B and ∠ F are corresponding