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3 years ago

Determine the equations of any vertical asymptotes in the graph of the rational function. f(x)= 2/(x2-12x+27)

Mathematics

1 answer:

valkas [14]3 years ago

7 0

Answer:

x = 3
x = 9

Step-by-step explanation:

The equation factors as ...

$f(x)=\dfrac{2}{(x-3)(x-9)}$

Values of x that make the factors zero are the locations of the vertical asymptotes: x = 3 and x = 9.

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A number c divided by 9 is less than or equal to -23 .

aleksklad [387]

Answer:

c $\leq$ -207

Step-by-step explanation:

Create an inequality and solve for c:

$\frac{c}{9}$ $\leq$ -23

Multiply by 9 on each side:

c $\leq$ -207 is the answer

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3 years ago

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vodka [1.7K]

4,3 x is the first number then y

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3 years ago

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Fiesta28 [93]

Answer:

Step-by-step explanation:

Find the mean:

Day 1: 2

Day 2: 1

Day 3: 4

Day 4: 5

Day 5: 0

Day 6: 7

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3 years ago

Which shows all the values of x that make the rational expression undefined? x = 6 x = 7 x = –6 or x = 6 x = –7 or x = 7

n200080 [17]

<h2>Explanation:</h2>

The rational expression is given by:

$E=\frac{2x^2-72}{5x^2-245} \\ \\ Factor \ out: \\ \\ E=\frac{2(x^2-36)}{5(x^2-49)} \\ \\ E=\frac{2(x-6)(x+36)}{5(x-7)(x+7)} : \ \ \ \ a^2-b^2=(a-b)(a+b)$

The denominator can't be zero, therefore:

$(x-7)(x+7)\neq 0 \\ \\ \\ Thus: \\ \\ \boxed{x\neq 7 \ and x \neq -7}$

Finally,<em> the values of x that make the rational expression undefined are </em>

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3 years ago

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zheka24 [161]

Answer:

Step-by-step explanation:

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3 years ago