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3 years ago

Rearrange then factorise x^2-5x+19=5x+3

Mathematics

1 answer:

Tema [17]3 years ago

4 0

Answer:

x = ±4i or x = ±√-16

Step-by-step explanation:

x² - 5x + 19 = 5x + 3

x² + 16 = 0

x² = -16

x = ±√-16 (a negative square root is an imaginary number)

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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.

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

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

(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

Compare by using < > or = between the pairs of numbers l - 8l ____ l2l

valentina_108 [34]

Answer:

It is >

Step-by-step explanation:

because the absolute value of -8 is 8 and the absolute value of 2 is 2 so 8 is bigger than 2

8 0

3 years ago

Given: BD is a diameter m 1= 100° m BC = 30° m CD = 100 150 330

sertanlavr [38]

Answer:

150

Step-by-step explanation:

330 is to big because the diameter is 180

100 is angle 1 and CD is bigger

so it would be 150

hope i helped

4 0

3 years ago

The volume is 120.9 in. What is the missing dimension (X)

Elina [12.6K]

Answer:

X = 2.5 in

Step-by-step explanation:

volume = L x W x H

120.9 = 9.3 x 5.2 x X

X = 2.5 in

5 0

3 years ago

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PLEASE HELP ME ANSWER THIS QUESTION! QUICK POINTS!!!

Svetllana [295]

Step-by-step explanation:

2.5<x<8.0???????????

3 0

3 years ago

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