9. Use the graph of )-+3x-4 to identify the values of x for which - and to factor ). a. x- 2,x - c. x 2; x -1 b. x 1,x--2 d. x -1,x 2 Ax) --(*+2)(x-1) 0--(*+1 -2)

Q: prdinates of point k on the graph could only k

A: We can find and identify the coordinates of K as below

Q: (a) Show that in a simple graph with n > 2 vertices, at least two vertices have the same degree.

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: Suppose m and n are integers that are not zero together. Show that there is not always a graph with…

A: For a graph we know that,        Sum of degree of vertices = 2 x Number of edges.     => Sum of…

Q: a) Show that the number of leaves in an n-vertex tree with maximum degree A > 2 lies n(A–2)+2 A-1…

A: Given that a tree with n vertex with maximum degree ∆≥2. It is known that in tree every vertex is of…

Q: 13 - What is the Lagrange interpolation polynomial which passes through (2,2) and (4,6)

A: We use the Lagrange interpolation formula

Q: 5/3 213 4=LCx-4) +2 Cx-4J +2 (x-4) graph showing Algorithm

A: To graph the following function

Q: When n = 3, there are nonisomorphic simple graphs.

A:

Q: 6) Use the simplex algorithm to solve the followir Max Z = 3X1 +2X2 Subject to: 2X1 + X2 < 100

A: Simplex method: The simplex approach is a method for systematically evaluating vertices as potential…

Q: a) Show that if G is a simple graph with n vertices (where n is a positive integer) and each vertex…

A: Part(a): G is a simple graph with n vertices and degree of each vertex in G is at least n-12. We…

Q: A box with a square base volume of 1500 cm^3 is to be constructed by taking a piece of cardboard 20…

A: Given that, A box with a square base volume of 1500 cm^3 is to be constructed by taking a piece of…

Q: Prove that every graph G with n vertices and chromatic number k = x(G) has at most · (n2 – ) edges.…

A:

Q: 6. Find the complement of the graph K3,2, the complete bipartite graph on (3, 2) vertices.

A:

Q: 16. Find a method that can produce infinitely many triples (a, b, c) with no common factors such…

A: Given: A triple is a set of three positive integers (a,b,c)

Q: 6) solve y'- with the putzer algorithm. 2.

A:

Q: 9. Verify that Euler's formula does not hold for a graph that is not connected: count the vertices,…

A: The given question is related with graph theory. We have to verify that Euler's formula does not…

Q: 10 ros: utions: ots: ntercepts: tors:

A: Given graph

Q: iii) Show that the sum of the degree of all vertices in a graph is an even integer.

A:

Q: Show that if G is a simple graph with n vertices (where n is a positive integer) and each vertex has…

A: Hello. Since your question has multiple parts, we will solve first question for you. If you want…

Q: There are 460 bacteria spores in a petri dish. After every two hours they are observed to be 10%…

A: Given query is to find the the function for exponential decay and then graph it.

Q: The degree of every vertex of a graph G is one of three consecutive integers. If, for each of the…

A:

Q: a) Prove that, for all integers K > 5 P(K + 1,5) + P(K,5) = 5P(K,4) b) What is graph, Explain its…

A: We solve only one question at a time. Please submit questions one by one which you want to be…

Q: Which one of the following is a quadratic graph? 10 10 10 10 -10- -10 -10 O bksb 2021

A: We have to check

Q: a)Show by one combinatorial method that: 2 2 n C) - () - (") 2n +... + 2 n

A: Given information: The following identity is provided: n02+n12+n22+................+nn2=2nn It is…

Q: 71. Show that the number of planted plane trees on 2n vertices, 2m+1 of which have even number of…

A:

Q: 24, Use the division algorithm to find polynomials q(x) and r(x) so that

A:

Q: What tuncton eqatienis repremented by the grapht o (a) =-x+4 of )- -4 + of =-x+4

A: From the given graph, the given line is passing through the two points as 2,-1 and 0,4 Using two…

Q: Square M has one vertex at (5, 5) and sides of length 5. If the sides of square M are parallel to…

A:

Q: For any connected graph G of order 55, if x is a vertex of G, then the number of components of G-x…

A: A connected graph is graph that is connected in the sense of a topological space, i.e., there is a…

Q: 2. Suppose G is a planar graph having 67 edges. If each face of G has length at least 6, then what…

A: From the given information. The number of edges (e) = 67 The number of vertices at each face (v) = 6

Q: How would you draw all of these values as a MEMBERSHIP FUNCTION? WHERE? WHAT? WHO? HOW? WHY? WHEN?

A: There are many ways to assign membership values. Here the following present some of these…

Q: Prove that cycles are bipartite for an even number of vertexes. But they are not bipartite for the…

A:

Q: Which graph shows the solution set for Ix - 31 < 4? -8 -7 -6 -5 -4-3 -2 -1 0 1 2 3 4 5 6 7 8 ++++ -8…

A:

Q: Use the simplex algorithm to solve the following problem (Use tableaus) max z = x, – 2x2 + x3 s.t.…

A:

Q: 3) Show by example that there is a bipartite graph between A and B with N² – N edges, and no perfect…

A: For any queries please le me know through comments. I will try to reply ASAP! Please Thumbs up if…

Q: Prove the following. 1. Prove that the number of odd vertices of a graph is even.

A:

Q: If a graph with six vertices is embedded in S², what is the maximum number of edges it can have.…

A: I have Provided this answer in step-2.

Q: 2. Suppose G is (2k + 1)-regular for graph some k > 1. Prove that if G contains a perfect matching,…

A: A graph G is perfect, if χ(H) = ω(H) holds for every induced subgraph H of G.   a k-factor is a…

Q: Prove : for r belongs to Z+, every r connected graph on an even number of vertices with no induced…

A:

Q: 2. Prove: "The size of every bipartite graph of order n is at most ". Provide an 4 illustration and…

A: Definition: A simple graph whose set of vertices can be partitioned into two sets V1 and V2 such…

Q: If a simple graph G is having 13 vertices and 7 edges then its complement graph G will have O 13…

A: Formula: If a simple graph consists n vertices and m edges, then its complement graph will consist n…

Q: Consider the set Z10 of remainders. Determine the products module 10

A: Given that the set Z10 of remainders. We have to determine the product module 10. 8⊙105=40=0mod10…

Q: If a simple graph G is having 14 vertices and 13 edges then its complement graph G will have O 14…

A:

Q: Prove that in any simple graph G with n vertices and m edges, 2m ≤ n^2 − n.

A: We need to prove that in any simple graph G with n vertices and m edges, 2m≤n2−n

Q: Prove that the sum of the degrees of the vertices of any finite graph is even.

A:

Q: A vertex is pendent if its degree is zero. True false

A:

Q: Which of the following graphs contain a subdivision of K3,3 as a subgraph

A: The solution is given below in detail in which we found no graph contains a subdivision of K3, 3 1)

Q: Determine the symmetries (if any) of the graph of the given relation. 6y = 2x2 -4

A:

Q: is the graph of y = -2/3 x + 4. 4-3 -2 -10 123456 -2 -3 O True O False 32

A: