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Veseljchak [2.6K]
3 years ago
10

What is the next term in this arithmetic sequence? 11, 8, 5, 2,... 0-3 06 05

Mathematics
1 answer:
satela [25.4K]3 years ago
7 0

Answer: the next term is -1

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An equation is formed of two equal expressions. The value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

<h3>What is an equation?</h3>

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Given x is the left-right width of the billboard and y is the height of the billboard. Therefore,

The total area of the billboard, A= x·y

The total printed area of the billboard, A_p=(x-2)(y-8)

Given in problem that the area of the billboard is 3600 ft².

x·y = 3600

y = (3600)/x

Substituting the value of y in the equation of the total printed area of the billboard,

A_p = (x-2)(\dfrac{3600}{x}-8)\\\\A_p = 3600 -8x -\dfrac{7200}{x} + 16\\\\A_p =3616-8x - \dfrac{7200}{x}

Now, the value of x is needed to be minimum, therefore, differentiating the given function,

\dfrac{d}{dx}A_p =\dfrac{d}{dx}3616-8x - \dfrac{7200}{x}\\\\\dfrac{d}{dx}A_p =-8 - \dfrac{7200}{x^2}

Equate the differentiated function with 0,

0=-8x - \dfrac{7200}{x^2}\\\\8x = - \dfrac{7200}{x^2}\\\\x^3 = 900\\\\x = 9.655 ft.

Hence, the value of x that maximizes the area of the printed region of the billboard is 9.655 ft.

Learn more about Equation:

brainly.com/question/2263981

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Aditi bought 20 apples at Rs 25 each and sold them at Rs 32 each. What is her total profit?​
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Answer: 140

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