Question: For which positive integer n will the equations (1) x1 + x2 + x3 + ... + x19 = n, and (2) y1 + y2

For which positive integer n will the equations
(1) x1 + x2 + x3 + ... + x19 = n, and
(2) y1 + y2 + y3 + ... + y64 = n
have the same number of positive integer solutions?

Step by Step Solution

★★★★★

3.34 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

For equation 1 we need the number of nonnegative integer solutio... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

954-M-L-A-L-S (7266).docx

120 KBs Word File

Students Have Also Explored These Related Linear Algebra Questions!

For any positive integer n determine (a) (b) i!(n - i)!

For each positive integer n, let a Sketch a graph of g"(x). b. c. Evaluate and sketch a graph. Does the sequence fn(x) converge to the step function a (x) as n ? (d) Find the derivative hn(x) =...

Show if n is a positive integer with n ¥ 2, then (n 3n +2) 4n(n + 1) i2-1 j-2

I was given the following file "ScriptFigs.m": % % Script for generating figures and testing stuff. % n = 10; x = 1:n; y = randn(n,1); pp = spline (x, y); %% Plot the results delta = 0.05; x2 =...

Exercise 2: Correlation Coefficient (10pt) In data analysis, the correlation coefficient is commonly used as a measure of the linear correlation between two variables X and Y. It has a value between...

explain (a) Describe how mutual-exclusion locks provided by the synchronized keyword can be used to control access to shared data structures. In particular you should be clear about the behaviour of...

A University library requires 110 books on mathematical modelling. The books can be purchased from 3 vendors. Each of the vendors has a fixed delivery fee and only has a certain number of books in...

Jobco is planning to produce at least 2000 widgets on three machines. The minimum lot size on any machine is 600 widgets. The following table gives the pertinent data of th situation. Machine Setup...

Consider the following The above "Primal LP" Model is assigned ________ "Dual" variables _________ . * None of the answers. three; X1, X2, & X3 three; Y1, Y2, & Y3 two; X1 & X2 two; Y1 & Y2 The...

A car is leaving New York. After 30 minutes, the car is 25 miles from New York, and after 3 hours the car is 200 miles from New York. What is the car's average speed (miles per hour) between the 30...

Describe the personal characteristics a person should possess to be an effective whistleblower. As you prepare your list, consider whether you think you've got what it takes to be a whistleblower.

Jose and Maria have been married for 5 0 years. They have three children and seven grandchildren. Their estate is $ 3 0 million. They do not want to rely on the deceased spouse's unused exemption (...

Evaluate and explain the following statements: LO2 a. The market system is a profit-and-loss system. b. Competition is the disciplinarian of the market economy.

A graph of a function is shown. Using the graph, find the indicated function values; that is, given the inputs, find the outputs. (a) h(1), h(3), and h(4) (b) t(- 4), t(0), and t(3) (c) s(- 4), s(-...

Determine whether the graph is that of a function. An open circle indicates that the point does not belong to the graph. (a) (b) (c)

Determine the domain and the range of the function. (a) (b) (c) --2 2 x

If two projects offer the same positive NPV, then they: also have the same IRR. have the same payback period. are mutually exclusive projects. add the same amount of value to the firm

Assume the Knight Corporation is considering the acquisition of Day Inc. The expected earnings per share for the Knight Corporation will be $8 with or without the merger. However, the standard...

Johnson Tire Distributors has an unlevered cost of capital of 12 percent, a tax rate of 34 percent, and expected earnings before interest and taxes of $1,900 in perpetuity. The company has $3,400 in...