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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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Step-by-step explanation:

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The first four terms of sequence is 20, -10, -40, -70

<em><u>Solution:</u></em>

Given that we have to find the first four terms of sequence

<em><u>Given recursive formula is:</u></em>

a_n = 20 - 30(n-1)

<em><u>To find the first term, substitute n = 1</u></em>

a_1 = 20-30(1-1)\\\\a_1 = 20-30(0)\\\\a_1 = 20

Thus the first term of sequence is 20

<em><u>To find the second term, substitute n = 2</u></em>

a_2 = 20-30(2-1)\\\\a_2 = 20-30(1)\\\\a_2 = 20-30\\\\a_2 = -10

Thus the second term of sequence is -10

<em><u>To find the third term, substitute n = 3</u></em>

a_3 = 20-30(3-1)\\\\a_3 = 20-30(2)\\\\a_3 = 20-60\\\\a_3 = -40

Thus the third term of sequence is -40

<em><u>To find the fourth term, substitute n = 4</u></em>

a_4 = 20-30(4-1)\\\\a_4 = 20-30(3)\\\\a_4 = 20-90\\\\a_4 = -70

Thus the first four terms of sequence is 20, -10, -40, -70

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the plane surface enclosed by the boundary line of plane closed figure is known as area

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