72. In the accompanying graphs, the number in the circle for each vertex is the cost of installing equipment at the vertex if relaying must be done at the vertex, while the number on an edge indicates the cost of providing service between the endpoints of the edge. In each case, find the minimum cost (allowing relays) for sending messages between any pair of vertices, taking vertex relay costs into account. 6 13 8 10 4 5 11 (a) 2 7 15 14 12 2 3 4 (b) 7 9 28

Q: 43.) What is the vertex of the graph y = | x | - 6? a. (-6,0) b. (0,6) c. (6,0) d. (0, -6)

A: Consider the standard form y = |x-a| + b Here, the vertex is (a,b)

Q: 4 10 -9 -3 -2 -1 -1 7 8 9 10 -7 -6 2 3 4 5 6 -2 -3 -4 -5 -6- -7 -8- -9 -10+ Note: if the graph goes…

A: Domain of a function is the all possible inputs for the function. At every point of the domain the…

Q: 1) Xander runs an ice cream shop. The graph represents the revenue he is able to obtain based on the…

A:

Q: 12. Consider the following graph: 5 4 32 1 01 2 -5-4-3-2-10 12 45 it as a point (x, y). (^,y). 42.…

A: Given: The graph: We are required to find: 12c. Value of x when y=-212d. Value of y when x=-2

Q: 9. How many different channels are needed for seven radio stations if stations are not permitted to…

A: Consider the following table:   1 2 3 4 5 6 7 1 - 10 44 178 65 210 120 2 10 - 58 156 79 234…

Q: 6. Use the given equation and answer the following questions. y = x? – 4x – 5 .g. Find vertex: -8-…

A:

Q: Determine the equation of the midline of the following graph. 3 -37 -37 371 бл 15T 2 -1 2 2 -2 -3 -4…

A: Graph is symmetric about  Y=-2 line .

Q: Find an equation for this graph (note that it goes through the points (1,1) and (5, 11)):

A: We have to find the equation of the graph.

Q: 1. In the sketch below is the floor plan of a house showing the rooms and the doorways. Is it…

A: It is impossible   1. Suppose you have drawn such a line and follow      it from one room to…

Q: G8. Construct the graph where the vertices are you, your parents, and your grandparents with a…

A: Given : Vertices- you, parents and grand parents Relationship- born in same state.

Q: Solving system of linear inequalities in two unknowns 3x + 2y >=6 → 3*0+ 2y = 6 →y-6/2=3y = 3 3x +…

A: We have given three constraints 3x+2y >= 6 x + 2y < 8 y < 2 x, y>=0 We need to find the…

Q: A mail truck must deliver packages to 5 different homes (A, B, C, D, and E). The trip must start and…

A:

Q: G11. Can there be a graph with 8 vertices and 29 edges? Justify your answer.

A: see attached image below

Q: III. In this formula, C₁, C₂, and n are the fixed values, while x is an independent variable. When x…

A:

Q: b a d e g

A: To find the circuits with in the graph

Q: 2. For the graph shown to the right, complete parts (a) through (d). (a) Give the vertex set. (b)…

A:

Q: nl.ca/d21/le/dropbox/520780/171312/DownloadAttachment?fi 5. Graph using the vertex and intercepts..…

A: Given parabola is y=-x2-4x-4

Q: HSEJEC.Z 3. Graph: y< x² + 6x + 9. Clearly label the vertex. (4) 10 4 2 -10-8-642

A: We have to use properties of function to solve the problem

Q: - Is the given point a Solution to this graph? (-1,–2)

A:

Q: What are the lengths of the shortest paths from A to vertices B and C? Length of shortest path from…

A:

Q: G14. Draw two 'different' graphs with five vertices and degrees {1, 2, 2, 2, 3}.

A:

Q: 9. Dashiell is taking a walk around the neighborhood and tracks his location using an app. Consider…

A: Given thatx- represents the time that has passed in minutes.y- represents the distance of dashiell…