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CaHeK987 [17]
3 years ago
11

PLZ HELP!!!!!!!!!!!!!!!!!!

Mathematics
2 answers:
bezimeni [28]3 years ago
8 0

Answer:

If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Inessa05 [86]3 years ago
4 0

Answer:

D.) If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Let us assume x = selling price of each soccer ball

y = daily profit earned from selling of soccer balls

Given that

Y= -6x^2+100x-180

where,

a = -6

b = 100

c = -180

Now we have to applied the formula which is as follows

x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}$

= \frac{-100\pm\sqrt{100^2-4\times -6\times -180}}{2\times -6}$

= \frac{-100\pm\sqrt{10,000 - 4,320}}{-12}$

= \frac{-100\pm\sqrt{5.680}}{-12}$

= \frac{-100 + 75.3658}{-12}$

= \frac{24.6342}{-12}

x^1 = -2.05285

Now

x^2  = \frac{-100 - 75.3658}{-12}$

= \frac{- 175.3658}{-12}

x^2 = 14.6138

Based on this the option D is most appropriate as per the given situation

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