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Top 5 Things a. 1.3 Geometric Sequences b. 3.4 Developing and Applying the Quadratic Formula c. 3.5 Interpreting the Discriminant d. 5.5 Solving System of Equations Algebraically e.6.4 The Sine Law a. 1.3 Geometric Sequences Q:Why it is important? A:We learn about this because we encounter geometric sequences in real life, and sometimes we need…
Those two different laws work for any triangle: Sine Law (The Law of Sines): (for solving side lengths) ↓or (for soving angles) Cosine Law (The Law of Cosines): (for solving side lengths) ↓or (for solving angles) How to use them? Example 1- Calculate side c (Sine Law) Example 2- Calculate side c (Cosine…
Multiplication To Multiply a rational expression: 1. Factor all numerators and denominators. 2. Cancel all common factors. 3. Either multiply the denominators and numerators together or leave the solution in factored form. Example 1: Multiply and then simplify the product Division of rational expressions -When we divide rational functions we multiply by the reciprocal.…
–Reciprocal: The reciprocal is simply: 1/number. To get the reciprocal of a number, we divide 1 by the number. Example: the reciprocal of 2 is ½ (a half). -Reciprocal Linear Function: A linear function expressed in the form of 1/f(x), where f(x) is a linear function. Function f(x)’s y-values undergo the transformation of being divided…
An absolute value function is a function that contains an algebraic expression within absolute value symbols. Recall that the absolute value of a number is its distance from ‘O(zero) on the number line. The absolute value parent function, written as f(x)=| x |, is defined as: (Piecewise) To graph an absolute value function, choose several values of…
The conjugate is where we change the sign in the middle of two terms like this: We only use it in expressions with two terms, called “binomials”: (example of a binomial) Here are some more examples: Expression Its Conjugate x2 − 3 ⇒ x2 + 3 a + b ⇒ a − b…
Many real-world problems are approximated by quadratic functions. If we can create a function to represent these problems (called Modelling a problem), when we solve our function, we also solve the problem.