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3 years ago

flora is 43 feet underground touring a cavern. She climbs a ladder up 14 feet. What is her new location

Mathematics

1 answer:

Paha777 [63]3 years ago

3 0

Answer:

29 feet underground

Step-by-step explanation:

She’s 43 feet underground so we can say -43. She climbs up 14 feet. -43+14=-29

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Find the prime factorization of the following number. 110

Andrew [12]

Answer:

{2, 5, 11}

Step-by-step explanation:

First, 110 = 2 * 55

Next, 55 = 5 * 11

Thus, the prime factors of 110 are {2, 5, 11}

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Alenkasestr [34]

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Step-by-step explanation:

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3 years ago

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3 years ago

If $-2 < x \le 3,$ then find all possible values of $5x + 1.$ Give your answer in interval notation.

kotegsom [21]

Answer: $(-9, 16]$

This is the interval from -9 to 16. Exclude -9 but include 16.

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

Work Shown:

The idea is to multiply all sides by 5, then add 1 to all sides

$-2 < x \le 3$

$5(-2) < 5x \le 5(3)$

$-10 < 5x \le 15$

$-10+1 < 5x+1 \le 15+1$

$-9 < 5x+1 \le 16$

This converts to the interval notation $(-9, 16]$

note: a curved parenthesis means "do not include this value in the solution set"; while a square bracket has us include the value. So we exclude -9 and include 16.

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3 years ago