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3 years ago

Consider the table representing a rational function.

Mathematics

2 answers:

Usimov [2.4K]3 years ago

8 0

Answer:

From the table of the rational function, the most appropriate of the given options is,

the function has holes when x = 0, x = 3, and x = 5 .

Step-by-step explanation:

From the table of the rational function, the most appropriate of the given options is,

the function has holes when x = 0, x = 3, and x = 5 .

yaroslaw [1]3 years ago

4 0

Answer:

<h2>The function has vertical asymptotes when x = 0, x = 3, and x = 5.</h2>

Step-by-step explanation:

The given rational function has vertical asymptotes. Remember that an asymptote is placed when the function has undetermined results, when we give a <em>x-value </em>and the <em>y-value </em>cannot be determined, there we say exists an asymptotes, which is a punctual line that represents a discontinuation of the graph, the trace cannot cross that asymptote, it divide the whole function graph.

So, in this case we have to undetermined results, when x = 0, x = 3, and x = 5, this means that in those values, there are asymptotes.

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A rectangle with a length of L and a width of W has a diagonal of 10 inches. Express the perimeter P of the rectangle as a funct

KatRina [158]

<h2>Answer:</h2>

The expression which represents the perimeter P of the rectangle as a function of L is:

$Perimeter=2(L+\sqrt{100-L^2})$

<h2>Step-by-step explanation:</h2>

The length and width of a rectangle are denoted by L and W respectively.

Also the diagonal of a rectangle is: 10 inches.

We know that the diagonal of a rectangle in terms of L and W are given by:

$10=\sqrt{L^2+W^2}$

( Since, the diagonal of a rectangle act as a hypotenuse of the right angled triangle and we use the Pythagorean Theorem )

Hence, we have:

$10^2=L^2+W^2\\\\i.e.\\\\W^2=100-L^2\\\\W=\pm \sqrt{100-L^2}$

But we know that width can't be negative. It has to be greater than 0.

Hence, we have:

$W=\sqrt{100-L^2}$

Now, we know that the Perimeter of a rectangle is given by:

$Perimeter=2(L+W)$

Here we have:

$Perimeter=2(L+\sqrt{100-L^2})$

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3 years ago

What is the simplified form of the expression 1/2 (2x + 6).

kakasveta [241]

1/2(2x+6)
Substitute the one half to both of the numbers inside the parentheses.
1/2*2 is one which would just be x
1/2*6 is three
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Step-by-step explanation:

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