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Prove in detail that this statement is false. (Hint: Give a counterexample) Write the converse of the above statement and show through an example.
When graphing a linear inequality, how do you select the area (which side of the line) that is being represented (and has to be shaded) by the inequality?
According to the U.S department of energy, the average cost per year in electricity is 92 dollars. A new refrigerator is 550 dollars.
You are the financial manager of a furniture company. It is your job to create supply and demand graphs that show the break-even point for the company
Solve each system by graphing. Include all of the points on the graph.
Write an equation that expresses the relationship. Use k as the constant of variation. d varies directly as the square of y.
Find and label the vertex and the line of symmetry. Graph the function.
Graph the following. Find all asymptotes, if any. State the domain and range of the function, describe the concavity and say where it is increasing
The length of a rectangular field is 3 times its width. If fencing costs $12 per metre, express the cost, C, of fencing the field as a function of the width, w.
What systems of equations can be solved by graphing or using substitution or elimination? Which method do you like best and why would it be different method
A manufacturer can produce bookcases at a cost of $80 apiece. Sales figures indicate that if the bookcases are sold for x dollars apiece, approximately
Suppose that the monthly cost of a long-distance phone plan (in dollars) is a linear function of the total calling time (in minutes)
Let u and v be arbitrary vertices of a connected graph G. Show that there exists a u-v walk containing all vertices of G
Let n be a given positive integer, and let r and s be nonnegative integers such that r + s = n and s is even. Show that there exists a graph G of order
A business student at Nowledge College must complete a total of 65 courses to graduate. The number of business courses must be greater than or equal to 23.
Suppose that the R&B Beverage Company has a soft drink product that shows a constant annual demand rate of 3600 cases. A case of the soft drink costs R&B $3.
A college cafe receives a profit of $1.25 for each cup of house tea that the sell, $1.40 for each cup of the premium brand, and $1.50 for each cup
Identify the optimal solution point on your graph. What are the values of X and Y at the optimal solution?
Draw a graph with numbered and directed edges (and numbered vertices) whose incidence matrix is
Which of the given functions is a one-to-one function? Select all that apply
Let G=(V,E) be a 3-regular graph (i.e. one in which all nodes have degree 3), and let S SUBSET V be any subset of the nodes such that |S| is odd
A firm is faced with the attractive situation in which it can be obtain immediate delivery of item it stocks for retail sale
Your companym Camel Electronics has developed a new USB memory device that uses a copyrighted, secret silicon compound that you invented.
Determine whether the following linear programming problem is infeasible, unbounded, or has multiple optimal solutions. Draw a graph and explain your conclusion
For n?N, let G be the graph with vertex set {v_0,...,v_3n} defined by v_i?v_j if and only if |i-j|=2 and i+j is not divisible by 6.