algebra b

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  1. 3. In fact, algebra is a simple language, used to create mathematical models of real-world situations and to handle problems that we can't solve using just arithmetic. Rather than using words, algebra uses symbols to make statements about things. In algebra, we often use letters to represent numbers.
  2. 5. number is a number that can be expressed in the form a + bi, where a and b are real numbers
  3. 6. function is a function that "reverses" another function: if the function f applied to an input x gives a result of y,
  4. 7. is a symbol which works as a placeholder for expression or quantities that may vary or change
  5. 10. -In idempotent analysis, the tropical semiring is a semiring of extended real numbers with the operations of minimum and addition replacing the usual operations of addition and multiplication, respectively. The tropical semiring has various applications, and forms the basis of tropical geometry.
  6. 12. of a number x is a number r which, when raised to the power n, yields x: {\displaystyle r^{n}=x, } where n is a positive integer, sometimes called the degree of the
  7. 14. is a finite combination of symbols that is well-formed according to rules that depend on the context.
  8. 16. is a flat, two-dimensional surface that extends infinitely far. A plane is the two-dimensional analogue of a point, a line and three-dimensional space.
  9. 19. the part of mathematics in which letters and other general symbols are used to represent numbers and quantities in formulae and equations.
  10. 20. -equation is any equation that can be rearranged in standard form as
  11. 23. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of
  12. 24. The number that gets multiplied when using an exponent. Examples: • in 82, 8 is the
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  1. 1. is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
  2. 2. indicates how many times one number contains another.
  3. 4. of a polynomial is the highest of the
  4. 5. of an angle is: The length of the adjacent side divided by the length of the hypotenuse. The abbreviation is cos. cos(θ) = adjacent / hypotenuse.
  5. 8. of a curve is a line such that the distance between the curve and the line approaches zero
  6. 9. of trigonometric functions were used in ancient Greece and India for applications to astronomy and celestial navigation.
  7. 11. -of a function f is the set of ordered pairs, where f(x) = y. In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.
  8. 13. -if it is greater than zero. A number is negative if it is less than zero. A number is non-negative if it is greater than or equal to zero.
  9. 15. of a function may refer to either of two closely related concepts
  10. 16. any characteristic that applies to a given set.
  11. 17. A collection of facts, such as numbers, words, measurements, observations or even just descriptions of things.
  12. 18. is an angle that measures less than 90 degrees. ∠ABC measures 30 ̊and hence it is an
  13. 21. l number is a value of a continuous quantity that can represent a distance along a line.
  14. 22. power of three