Which of these equations shows a proportional relationship?

What are the coordinates of the midpoint of the segment with endpoints at (-3, -4) and (5, 8)?

lord [1]

Answer:

(4, ``6)

Step-by-step explanation:

The midpoint formula is

((x sub 2 - x sub 1)/2, (y sub 2 -y sub 1)/2). As shown, its written like a coordinate

Your x sub 1 is the x-coordinate of your first coordinate pair, and the rest follow the same pattern.

So, (5-(-3)/2, 8-(-4)/2)

5-(-3)=5+3=8

8-(-4)=8+4=12

(8/2, 12/2)

(4,6)

8 0

3 years ago

If C(x) is the cost of producing x units of a commodity, then the average cost per unit is c(x) = C(x)/x. Consider the cost func

nadya68 [22]

Answer:

a) C(1,000)=288,491.11 $

b) c(1,000)=288.49 $/u

c) dC/dx(1,000)=349.74 $/u

d) x=100 u

e) c=220 $/u

Step-by-step explanation:

(a) Find the total cost at a production level of 1000 units.

$C(x) = 2,000 + 160x + 4x^{3/2}\\\\C(1,000)=2,000 + 160(1,000) + 4(1,000)^{3/2}\\\\C(1,000)=2,000+160,000+126,491.11= 288,491.11$

(b) Find the average cost at a production level of 1000 units.

$c(x)=C(x)/x\\\\c(1,000)=C(1,000)/1,000=288,491.11/1,000=288.49$

(c) Find the marginal cost at a production level of 1000 units.

$\frac{dC}{dx} =0+160+4*(3/2)x^{3/2-1}=160+6x^{1/2}\\\\dC/dx|_{1,000}=160+6*(1,000)^{1/2}=160+189.74=349.74$

(d) Find the production level that will minimize the average cost.

$c=2,000x^{-1}+160+4x^{1/2}\\\\dc/dx=2,000(-1)x^{-2}+0+4(1/2)x^{-1/2}=0\\\\-2,000x^{-2}+2x^{-1/2}=0\\\\2x^{-1/2}=2,000x^{-2}\\\\x^{-1/2+2}=1,000\\\\x^{3/2}=1,000\\\\x=1,000^{2/3}=100$

(e) What is the minimum average cost?

$c(x) = 2,000/x + 160 + 4x^{1/2}\\\\C(100)=2,000/100 + 160 + 4(100)^{1/2}=20+160+40=220$

5 0

3 years ago

What is 0.1 litre : 500 ml simplified

Lesechka [4]

Answer:

Step-by-step explanation:

1 liter = 1000 ml

0.1 liter = 0.1*1000 = 100.0 = 100 ml

$\frac{0.1 litre}{500ml} = \frac{100}{500}\\\\=\frac{1}{5}$

0.1 liter : 500 ml = 1 : 5

3 0

3 years ago

List all the composit numbers between 1-10

torisob [31]

The answer is 4, 6, 8, 9, and 10. The following numbers (1, 2, 3, 5, and 7) are prime numbers.

6 0

3 years ago

Look at image please

Kay [80]

Answer:

a

Step-by-step explanation:

It begins at the point (0, -1200). 0 tickets sold, $1200 spent.

$5 for a ticket means that slope =5.

(600, 1800) and (0,-1200)

m= (1800-(-1200))/(600-0)=3000/600=5

slope=5

Answer is a.

8 0

3 years ago