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STALIN [3.7K]
3 years ago
5

To fill out a sign chart, you will need to use test numbers before and after each of the function's zeros and ___

Mathematics
1 answer:
Vikki [24]3 years ago
7 0

Answer:

C. asymptotes

Step-by-step explanation:

In the figure attached, a sign chart is shown. To fill it out you need to find the function's zeros and asymptotes. The zeros are those x values that makes the function equal to zero, in the example, those are the x values that make the denominator equal to zero (x = -1 and x = 5). In a rational function, the asymptotes are those x values that make the numerator equal to zero (x = -9 in the example)

Function in the example:

\frac{(-2x-2)(2x-10)}{-9x-81}

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Answer:

\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}

Step-by-step explanation:

3(2b+3)^{2}=36\\\frac{3(2b+3)^{2}}{3}=\frac{36}{3}\\(2b+3)^{2}=12

Taking square root both sides, we get

\sqrt{(2b+3)^{2}}=\pm \sqrt{12}\\2b+3=\pm \sqrt{4\times 3}\\2b+3=\pm 2\sqrt{3}\\2b+3-3=\pm 2\sqrt{3}-3\\2b=-3\pm 2\sqrt{3}\\b=\frac{-3\pm 2\sqrt{3}}{2}\\b=\frac{-3+ 2\sqrt{3}}{2}\textrm{ or }b=\frac{-3- 2\sqrt{3}}{2}

Therefore, the values of b are:

\frac{-3+ 2\sqrt{3}}{2}\textrm{ and }\frac{-3- 2\sqrt{3}}{2}

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Assignment: \bold{Solve \ Equation: \ 10\left(x+4\right)=30}

<><><><><>

Answer: \boxed{\bold{x=-1}}

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Explanation: \downarrow\downarrow\downarrow

<><><><><>

[ Step One ] Divide Both Sides By 10

\bold{\frac{10\left(x+4\right)}{10}=\frac{30}{10}}

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