Which factors of -24 are used to factor x^{2}+2x-24

Answer:

(x + 7)² + (y + 4) ² = 2²

Step-by-step explanation:

Start with the standard equation of a circle with center at (h, k) and radius r:

(x - h)² + (y - k)² = r²

Here we are given that h = -7, k = -4 and r = 2, and so we obtain:

(x + 7)² + (y + 4) ² = 2²

Step-by-step explanation:

The answer is above, as well as the equation used to get to the answer.

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:

https://brainly.com/question/13333267

Answer:

h=8

Step-by-step explanation:

Fast fast!jjdbdbdjdjdbxjdj

Answer:

volved with elements and compounds composed of atoms, molecules and ions: their composition, structure, properties, behavior and the changes they undergo during a reaction with other substances.

Answer:

31

Step-by-step explanation:

62 / 2 = 31

Answer:

31

Step-by-step explanation:

angle is half of arc

Answer:

I can help you on question 4, and the only 2 I saw was <ZAY and <WAZ. I hope I at least helped with that one.

Step-by-step explanation:

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:

30

Step-by-step explanation:

For a right triangle there is a formula ---> a² + b² = c²  ("c" is always the side not touching the right angle)

24² + 18² = c²

576 + 324 = c²

900 = c²

30 = c

The 3rd side is 30

I'm not sure but I think is 1,00

Answer:

15.13

Step-by-step explanation:

Answer:

The third is sixty-nine degrees

Step-by-step explanation:

73°+38°+69°=180°

Answer:

y = 11

Step-by-step explanation:

Given:

x = 4

y = 2x + 3

y = 2(4) + 3

y = 8 + 3

y = 11

Answer:

length L = [tex]\sqrt[2]{18}[/tex] or [tex]3\sqrt{2}[/tex]

slope = 45 degree

neither

Step-by-step explanation:

Answer:

if ur talking about 36 divided by 12 in terms of divison then its 3

Step-by-step explanation:

I don't know if im right though

Answer:

1. 5/4=1.25 egg for each waffle and 6*1.25=7.5

7.5-5=2.5

Answer:

the probability of choosing a yellow marble is about 27%, while the probability of blue is 20%.

Step-by-step explanation:

6+8+5+11=30

8/30=0.266666666666

6/30=0.2

Answer:

the numbers aren't clear can you enlarge the screenshot?

Step-by-step explanation:

Answer:

Slope = [tex]- \frac{3}{4}[/tex]

Step-by-step explanation:

1. Choose 2 points from the graph

(0,-1) and (4,-4)

2.) Use this formula: [tex]\frac{y^{2}-y^{1} }{x^{2}-x^{1} }[/tex]

3.) (-4) - (-1) = -3

(4) - (0) = 4

-3/4

Answer:

D

Step-by-step explanation:

I'm not 100% percent sure but I believe its that one

Answer:

15

Step-by-step explanation:

Answer:

1 1/8

Step-by-step explanation:

Answer:

both pull money directly from a checking or savings account.

Answer:

c

Step-by-step explanation:

✧･ﾟ: *✧･ﾟ:*  Answer:  *:･ﾟ✧*:･ﾟ✧

✅ 1,742 x 1.000 > 1,742

I WOULD APPRICIATE BRAINLIEST!

~ ₕₒₚₑ ₜₕᵢₛ ₕₑₗₚₛ! :₎ ♡

~

Answer:

lessm than

Step-by-step explanation:

Answer:

thx for points

Step-by-step explanation:

S = 300 x .20(x)

hope this helps

Answer:

The point crosses over the y-axis

Step-by-step explanation:

Given

A change in the sign of x coordinate

Required

The effect on the point location

Assume the coordinate to be (x,y).

The above point is located in the first quadrant,

When the x value changes to negative i.e. (-x,y)

The point moves from the first quadrant to the second quadrant

This implies that, the point crosses over the y-axis.

Similarly, assume the coordinate to be (-x,-y).

The above point is located in the third quadrant,

When the x value changes i.e. (x,-y)

The point moves from the first quadrant to the fourth quadrant

This implies that, the point crosses over the y-axis.

Answer:

c

Step-by-step explanation: