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The language of mathematics is the system used by mathematicians to communicate mathematical ideas among themselves, and is distinct from natural languages in that it aims to communicate abstract, logical ideas with precision and unambiguity. Who said that mathematics is a language? Quote by Galileo Galilei: “Mathematics is the languageRead More →

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A conjecture is a good guess or an idea about a pattern. For example, make a conjecture about the next number in the pattern 2,6,11,15… The terms increase by 4, then 5, and then 6. Conjecture: the next term will increase by 7, so it will be 17+7=24. What isRead More →

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The divisibility of a by b is denoted by the symbol b|a. c|a and c|b⇒c|a±b . The last two properties are equivalent to saying that the set of elements divisible by b forms an ideal, bA, of the ring A (the principal ideal generated by the element b), which containsRead More →

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Slope is the property that gives us a value representing the steepness of the tilt of the straight line graph. What does the slope of the graph? Identify slope from a graph. … Using two of the points on the line, you can find the slope of the line byRead More →

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To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of “If it rains, then they cancel school” is “If they do not cancel school, then it does not rain.” … If the converse is true, then the inverse isRead More →

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A binomial is a polynomial with two terms. For example, x − 2 x-2 x−2 and x − 6 x-6 x−6 are both binomials. What is a binomial expression? What is a binomial expression? In Algebra, a binomial expression contains two terms joined by either addition or subtraction sign. ForRead More →

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According to the Bronsted-Lowry definition, bases are substances that accept hydrogen ions from an acid. Basic solutions are made by dissolving the base, the solute, in a liquid solvent. Basic solutions are characterized by pH values higher than 7 and can conduct electricity. Is water a basic solution? Pure waterRead More →