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Shtirlitz [24]
3 years ago
7

Which expression is equivalent to 64x^3-343

Mathematics
1 answer:
In-s [12.5K]3 years ago
4 0

Answer:

B:  (4x - 7)(16x^2 + 28x + 49)

Step-by-step explanation:

64x^3-343 can be rewritten as 4^3x^3 - 7^3 or (4x)^3 - 7^3.  This is the difference of two cubes.  The appropriate formula for factoring such is

       a^3 - b^3 = (a - b)(a^2 + ab + b^2).  Therefore,

our (4x)^3 - 7^3 = (4x - 7)(16x^2 + 28x + 49).  This is Answer B.

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Step-by-step explanation: EDGE 2022 I GOT 100%

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2 years ago
The cost function in a computer manufacturing plant is C(x) = 0.28x^2-0.7x+1, where C(x) is the cost per hour in millions of dol
Licemer1 [7]

9514 1404 393

Answer:

  $562,500 per hour

Step-by-step explanation:

The cost will be a minimum where C'(x) = 0.

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  x = 0.7/0.56 = 1.25

The cost at that production point is ...

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The minimum production cost is $562,500 per hour for production of 1250 items per hour.

_____

<em>Additional comment</em>

This is different than the minimum cost <em>per item</em>. This level of production gives a per-item cost of $450. The minimum cost per item is $358.30 at a production level of 1890 per hour.

5 0
2 years ago
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IgorC [24]
B(x)=x2+3
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3 years ago
The Perimeter of the park is 318 m. Determine the length of the park<br><br> PLEASE HELP!!!!!!!!!
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Step-by-step explanation:

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What is the midpoint of C(5,3 and D(-3,-6)
Nat2105 [25]

Answer:

Step-by-step explanation:

Midpoints of two coordinates is expressed using the formula;

M(X, Y) = (x2+x1/2, y2+y1/2)

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X = x1+x2/2

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6 0
2 years ago
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