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3 years ago

Move the numbers to the table to arrange them in order from least to greatest.

Mathematics

1 answer:

777dan777 [17]3 years ago

3 0

Answer:

-3/5

-1/2

-0.4

0.6

4/5

Step-by-step explanation:

For this question I converted the fractions to decimals.

-3/5 = -0.6

-1/2 = -0.5

4/5 = 0.8

Start off with the negatives, as they are the lowest numbers. <em>The further they are from zero the lower they get.</em>

-0.6 (-3/5)

-0.5 (-1/2)

-0.4

Now there are only <em>2</em> positive numbers, so order them.

0.6

0.8 (4/5)

Put it all together:

-3/5

-1/2

-0.4

0.6

4/5

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3 years ago

What is lim x→3 x^2 - x - 6/ x - 3

Kisachek [45]

<h3>Answer: D) 5</h3>

=======================================================

Explanation:

If we plugged x = 3 into the expression, then we'd get x-3 = 3-3 = 0 in the denominator. That's not allowed. But we can simplify first

x^2-x-6 factors to (x-3)(x+2). The key here is that (x-3) is a factor. It cancels with the x-3 in the denominator

So, $\frac{x^2-x-6}{x-3} = \frac{(x-3)(x+2)}{x-3} = x+2$

Allowing us to say,

$\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}\frac{(x-3)(x+2)}{x-3}\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = \lim_{x \to 3}(x+2)\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 3+2\\\\\\\displaystyle \lim_{x \to 3}\frac{x^2-x-6}{x-3} = 5\\\\\\$

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3 years ago

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viva [34]

Answer:

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Step-by-step explanation:

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Substitute the info into the formula

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Answer:

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Step-by-step explanation:

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