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cestrela7 [59]
3 years ago
15

Solve 3x to the second power -2x-8=0 using an algebraic method

Mathematics
1 answer:
MatroZZZ [7]3 years ago
7 0

Answer:

x=2\textrm{ or } x=-\frac{4}{3}

Step-by-step explanation:

Given:

The equation is given as:

3x^{2}-2x-8=0\\3x^{2}-6x+4x-8=0\\3x(x-2)+4(x-2)=0\\(x-2)(3x+4)=0\\\\x-2=0\textrm{ or }3x+4=0\\x-2+2=0+2 \textrm{ or }3x+4-4=0-4\\x=2\textrm{ or }3x=-4\\x=2\textrm{ or}\\x=-\frac{4}{3}

Therefore, the possible values of x are 2 and -\frac{4}{3}

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Answer:

\lim_{x \to 2^-} \frac{|x-2|}{x-2}=-1.

Step-by-step explanation:

We want to find \lim_{x \to 2^-} \frac{|x-2|}{x-2}.

By definition:

|x-2|=\left \{ {{x-2,\:if\:x\:>\:2} \atop {-(x-2),\:if\:x\:

Since we want to find the Left Hand Limit, we use f(x)=-(x-2)

\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=\lim_{x \to 2} \frac{-(x-2)}{x-2}.

\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=\lim_{x \to 2} (-1).

The limit of a constant is the constant.

\implies \lim_{x \to 2^-} \frac{|x-2|}{x-2}=-1.

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The correct answer is : of those planning to not to go on vacation, more of them are women.

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The second option is also incorrect because more women were asked than men.

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The fourth option is incorrect because More men plan to go on vacation.

Learn more about probability here:

brainly.com/question/11234923

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