A) Write 2 expressions for the area of the shaded region.

draw the image of figure after each translation number 9. four units left and 4 unit down number 10 five units right in three un

Alex787 [66]

The coordinates for the pre-image are P(1,3), Q(4,4), R(4,1), and S(1, -1).

The transformation is 4 units left, and 4 units down.

That means we must subtract 4 units to x-coordinates, and subtract 4 units from y-coordinates. So, the image has coordinates P'(-3,-1), Q'(0,0), R'(0, -3), and S'(-3, -5).

The image below shows the image and pre-image.

5 0

1 year ago

What is the sum of 433 and 27?

il63 [147K]

The sum of 433 and 27 is 460.

I hope this is helpful! :D

5 0

3 years ago

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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.

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

(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

Which image that would portray the rotation of the given preimage and the rotation arrow.

Brut [27]

Is the arrow the length of the rotation? 90 degrees? if so, the second picture is, with the star at the highest point of the other pictures.
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4 0

3 years ago

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Michelle made 26 more sales calls last month than Allen. Together, they made 120 calls. How many calls were made by Michelle?

algol13

Answer

73

Step-by-step explanation:

you need to subtract the 26 from 120 to get 94 divide that by 2 to get 47 so thats haw many calls they each made then add on the 26 to find her amount to get 73

6 0

3 years ago