La red FUNDAMENTAL de Carreteras administrada por la ABC de Bolivia es la principal y por lo tanto esta a cargo del Gobierno Central: las Redes COMPLEMENTARIAS estan a cargo de los SERVICIOS DEPARTAMENTALES DE CAMINOS (SEPCAM) de las Gobernaciones de Dptos y las REDES MUNICIPALES de caminos rurales son administradas por los mas de 315 Municipios de Bolivia.
La red FUNDAMENTAL de Carreteras administrada por la ABC de Bolivia es la principal y por lo tanto esta a cargo del Gobierno Central: las Redes COMPLEMENTARIAS estan a cargo de los SERVICIOS DEPARTAMENTALES DE CAMINOS (SEPCAM) de las Gobernaciones de Dptos y las REDES MUNICIPALES de caminos rurales son administradas por los mas de 315 Municipios de Bolivia.
The document describes how to use the quadratic formula to solve quadratic equations. It provides the quadratic formula, explains the steps to use it which include identifying the a, b, and c coefficients and substituting them into the formula, simplifying, and solving for x. It then works through two example problems demonstrating how to apply the steps to solve quadratic equations.
The document describes the step-by-step process for solving quadratic equations. It involves writing the coefficients of the equation, finding integers that satisfy certain criteria, rewriting the equation by splitting the middle term, making a multiplication frame, setting each factor equal to 0, and solving for x. Two example equations are presented to demonstrate this process.
This document provides examples for finding the zeros, or roots, of polynomial functions. It outlines a 3-step process: 1) set each factor of the polynomial equal to 0, 2) solve each equation for x, and 3) write the solutions as ordered pairs to list the zeros. This process is demonstrated for polynomials with various numbers and types of factors.
The document describes how to use the quadratic formula to solve quadratic equations. It provides the quadratic formula, explains the steps to use it which include identifying the a, b, and c coefficients and substituting them into the formula, simplifying, and solving for x. It then works through two example problems demonstrating how to apply the steps to solve quadratic equations.
The document describes the step-by-step process for solving quadratic equations. It involves writing the coefficients of the equation, finding integers that satisfy certain criteria, rewriting the equation by splitting the middle term, making a multiplication frame, setting each factor equal to 0, and solving for x. Two example equations are presented to demonstrate this process.
This document provides examples for finding the zeros, or roots, of polynomial functions. It outlines a 3-step process: 1) set each factor of the polynomial equal to 0, 2) solve each equation for x, and 3) write the solutions as ordered pairs to list the zeros. This process is demonstrated for polynomials with various numbers and types of factors.
The document outlines the steps to find the x-intercepts of quadratic functions. These steps include: 1) setting the function equal to 0, 2) identifying the coefficients a, b, c, 3) finding integers that multiply to ac and add to b, 4) rewriting the function using these integers, 5) creating a multiplication frame and finding its factors, 6) setting each factor equal to 0 to solve for x, and 7) writing the x-intercepts. It provides examples and notes on using integer multiplication charts.
The document describes the step-by-step process for solving quadratic equations. It involves writing the equation in standard form, finding factors that satisfy the quadratic formula, rewriting the equation by splitting the middle term, setting each factor equal to 0, and solving for x. Two examples are provided to demonstrate this process.
The document contains examples of quadratic equations in standard, vertex, and factored forms. Example 1 shows the equations for a parabola opening upward with standard form y = x2 + 6x, vertex form y = x2, and factored form y = x(x). Example 2 shows the equations for a parabola opening downward with standard form y = -x2 - 2x, vertex form y = -x2, and factored form y = -x(x). The document provides examples of completing quadratic equations based on the graph of a parabola.
The document provides examples of functions defined in factored, vertex, and standard form to draw graphs of the functions. Example 1 defines a function as y = 2(x + 3)(x - 1) in factored form, y = 2(x - 1/2)2 - 8 in vertex form, and y = 2x2 - 4x - 6 in standard form. Example 2 defines a different function as y = -(x - 5)(x - 1) in factored form, y = -(x - 3)2 + 4 in vertex form, and y = -x2 + 6x - 5 in standard form. The examples aim to show how a function can be drawn by using its definition in
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help protect against mental illness and improve symptoms.
The document contains two examples asking which graph, A or B, matches given quadratic equations. The first example gives the equation y = x^2 + 4x + 3 and asks which graph matches. The second example gives the equation y = -x^2 - 6x - 8 and asks which graph matches.
The document contains instructions for two examples involving right triangles. The first example asks the reader to find the sine, cosine, and tangent of angle P for right triangle PQR in simplest form. The second example asks the reader to find the sine and cosine of angle G for right triangle GHI, rounding to the nearest hundredth. It also provides instructions to use the Pythagorean theorem to find the hypotenuse and write the ratios for sine and cosine in simplest form.
The document outlines the steps to multiply binomial expressions: (1) draw a frame, (2) write the binomials, (3) multiply, (4) combine like terms, and (5) answer. It provides 3 examples of multiplying binomial expressions and repeats the 5 steps for each example.
Logarithms are the inverse of exponents - a logarithm expresses the power to which a base must be raised to produce a given number, while an exponent represents the number of times a base is used as a factor. Logarithms allow complex exponential and power expressions to be written in a more compact logarithmic form. Common uses of logarithms include the pH scale for acidity and decibel scale for sound intensity.
The document describes how to add polynomials with and without using algebra tiles. It provides two examples of adding polynomials by representing them with tiles, removing zero pairs, combining like terms, and writing the final answer. It also describes adding polynomials without tiles by identifying like terms, adding those terms, and writing the final answer.
The document describes how to solve subtraction problems with algebra tiles and without algebra tiles. For both methods, the steps are: 1) rewrite subtraction as addition of the opposite, 2) combine like terms by adding, and 3) write the final answer. With algebra tiles, the second step is to use tiles to solve the addition problem visually before writing the terms.
The document discusses the benefits of exercise for mental health. Regular physical activity can help reduce anxiety and depression and improve mood and cognitive functioning. Exercise causes chemical changes in the brain that may help boost feelings of calmness, happiness and focus.