Answer:
-4
Step-by-step explanation:
In order to get from point -1, 8, to point 2, -4, you would have to go down 12 and right 3, which would be 12/-3, which would simplify to -4
Answer: The upper quartile is 12.
In a box and whiskers plot, the point on the right edge of the box is called the upper quartile. In this case, that value is 12. It represents the median of the upper half of the set of data.
(x-y)(x^2+xy+y^2)
The first parentheses contain the cubed root of both the terms so x and y respectively. second parentheses follows the formula (a^2 + ab + b^2)
x corresponds to a and y corresponds to b. The signs are what change depending on what the original equation is. Since the original is a subtraction then the signs are -/+/+. you can remember it using the acronym SOAP. (S = same, O = opposite, AP = always positive) So the first sign is x - y (same as subtraction from original), the second and third are x^2 + xy + y^2 (opposite is a plus, and the last sign is always a positive.
18 & 18. I like it.
The square root of a natural number won't be rational unless the number is a perfect square. So not a and not b but yes to C.
For d, -0.125374..., we can't really tell. The three dots tells us it goes on. There's no indication of a repeat but we can't assume it doesn't repeat either. For d the correct answer is cannot be determined.
OK, onto 18.
The square root of 12 is irrational so has a nonterminating, nonrepeating decimal expansion.
7/8 has a finite decimal expansion, 0.875. When the reduced denominator doesn't have any prime factors besides 2 and 5 we'll get a finite decimal expansion. Answer: b
5/11 has 11 as a factor in the denominator, so is an infinite repeating decimal.
I'll guess there's three dots after 0.81818181 so that one doesn't terminate either.
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Bonus
0.21 rational, equal to 21/100
3/12 rational, it's the ratio of integers
√12 - 2 is irrational because of the √12
4.125... can't really tell because the ... may hide a repeating or nonrepeating part.
