Determine the horizontal asymptote for the rational function.

Mathematics

2 answers:

nikklg [1K]1 year ago

5 0

Answer:

The horizontal asymptote is <em>y=1</em> and

The vertical asymptote is <em>x=5</em>

Otrada [13]1 year ago

5 0

The horizontal asymptotic for the rational function is

X= 1

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Simplify Sinx + cosx/ cos²x - sin²x

bonufazy [111]

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1 year ago

Beth is going to enclose a rectangular area in back of her house. the house wall will form one of the four sides of the fenced i

Alina [70]

The maximum possible area would have a length of 24 feet and width of 12 feet.

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

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on other variables while a dependent variable is a variable that depends on other variables.

Let x represent the length and y represent the width, hence:

Since beth has 48 ft fencing and cover 3 sides, hence:

x + 2y = 48

x = 48 - 2y (1)

Also:

Area (A) = xy

A = (48 - 2y)y

A = 48y - 2y²

The maximum area is at A' = 0, hence:

A' = 48 - 4y

48 - 4y = 0

y = 12 feet