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Kisachek [45]
3 years ago
10

the average cost for a company to produce x items is x^2-10x+43 dollars. how many items should the company produce to minimize t

he average cost per item?
Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
3 0
The minimum happens at x=-b/2a, in this case, b=-10, a=1
so x=5
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Find out the how many of each metal did your team win.

To prove

As given

Your team wins 18 medals at a competition.

The metals are gold, silver, and bronze in a ratio of 2:4:3.

Let us assume that x be the scalar multiple of the gold, silver and bronze medal.

Thus

Number of gold medal = 2x

Number of silver medal = 4x

Number of bronze medal = 3x

Than the equation becomes

2x + 4x + 3x = 18

9x = 18

x = \frac{18}{9}

x = 2

Number of gold medal = 2 × 2

                                      = 4

Number of silver medal = 4 × 2

                                       = 8

Number of bronze medal = 3 × 2

                                           = 6

Therefore the number of gold medal are 4, silver medal are 8, bronze medal are 6.

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