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    Graphs and Functions

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    Graphs, Trends and Forecastingx

    Determine the correct half-plane in each case, and complete the graph. 8. y > 3 Graph each of the following inequalities. 16. 4x + y 4 28. 3x - 4y < 12 38. Number problems. You have at least $30 in change in your drawer, consisting of dimes and quarters. Write an inequality that shows the different number of coins

    Graphing Parabolas Obtained

    Y = x^2 + x - 6 Graphing Parabolas, please identify points to graph as sometimes when scanned in it is difficult to read.

    Graphing a Parabola: Five Points

    y = (x+3)^2 - 2 Plot the vertex and four additional points, two on each side of the vertex. Please indicate points plotted as sometimes the graph is hard to read.

    Solving a Quadratic Equation with Exponent

    Quadratic Equations Solving an equation with exponent using the even-root property. Solve (w + 5)^2 - 36 = 0 where x is a real number. Simplify the answer as much as possible.

    Find the slope and y-intercept

    Please see attached file. Name: __________________________ Date: _____________ 1. Find the slope and y-intercept. x = -7 A) Slope: undefined; y-intercept: (0, -7) B) Slope: 0; y-intercept: none C) Slope: undefined; y-intercept: none D) Slope: 0; y-intercept: (0, -7) 2. Match the graph with one of the equation

    Find the slope of any line perpendicular to the line through points

    16. Find the slope of any line perpendicular to the line through points (0, 5) and (-3, -4). 20. on page 626 27. Geometry. Floor plans for a building have the four corners of a room located at the points (2, 3), (11, 6), (_3, 18), and (8, 21). Determine whether the side through the points (2, 3) and (11, 6) is parallel to

    Graphing

    28. x + y = 18 24. 3x _ 4y _ 12 (0, ) (0, ), , ( , 0), 26. y=2x + 5 (0, ), ( , 5),( ), ( , 1) 28. x + y = 18 Give the coordinates of the points graphed below ( I couldn't load the graph, but it wanted o show the points) 2. B 4. D 23.Plot points with coordinates (2, 3), (3, 4), and (4, 5) on the given gr

    Minimizing a Bivariate Function

    The labor cost in dollars for manufacturing a precision camera can be approximated by f(x,y)=3/2x^2+y^2-2x-2y-2xy+68 Where x is the number of hours required by a skilled craftsperson and y is the number of hours required by a semi-skilled person. Find values of x and y that minimize the labor charge. Find the minimum labor

    Graph of a Solution

    The graph of the solution to 3x - 1 > 5 or 2 < x - 1 is, also please show brackets and parentheses in answer when applicable.

    Graphing Piece Wise Regions

    The graph of 3 < x ≤5 is, also please show appropriate parentheses and bracket symbol if applicable in answer.

    Forward Loop Transfer Function

    Consider the forward-loop transfer function in the sampled-data system as: (a) Determine the corresponding z -transform G(z) and the characteristic equation for this system. (b) Using the bilinear transformation and Routh's Stability Criterion, determine the range of K for stability when the sampling time T = 0.25 s. (c) C

    Graphs : Coloring Maps

    Let G be a cubic plane graph. Prove that the map M(G) is 3-colourable iff each country has an even number of sides. note: if we omit the vertices and edges of a plane graph G from the plane, the remainder falls into connected components, called "faces." Clearly each plane graph has exactly one unbounded face. The boundary

    Graphs : Coloring Maps

    Show that a planar map M = M(G) can be 2 colored iff every vertex of G has even degree. [The map M(G) of a graph G is the collection of its faces, which are to be colored so that no adjacent faces have the same color.] [hint: if every vertex of G has even degree then G is a union of edge-disjoint cycles. for another solut

    Cubic Graphs: Connectivity and Edge-Connectivity

    Connectivity and edge-connectivity are equal for cubic graphs. Construct examples showing that every possible connectivity number occurs (for graphs regular of degree 3):(Kappa) = 0, 1, 2, 3. Kappa = connectivity.

    Graphs, Vertices and Cycle Length

    A nontrivial graph G is called prime if G = G_1 x G_2 implies that G_1 or G_2 is trivial. Show that if a connected graph G has a vertex which is not in a cycle of length four, then G is prime. where "x" is the cartesian product

    Graphing, Modeling and Population Growth (MTH 133 Unit 4)

    The town I chosen is Scott City the population was 4591 in 2000. 1. Linear Growth: Suppose that the town has a fixed increase in population growth number of population increase each year. Choose the amount of population growth each year = _______ (Hint: Choose a whole number for your growth rate, rather than a percen