Alinear inequality over variables x1; : : : ; xk is an inequality of the form c1x1 +: : : +ckxk ≤ b, where c1; : : : ; ck and b are integers. given a set of such inequalities, the problem is to decide whether it has an integeral solution, i. e., whether one can assign integeral values to all variables in such a way that all inequalities are satisfied. prove that this problem is np-complete.

What is the domain and range of each function 1. x (3, 5, 7, 8, 11) y ( 6, 7, 7, 9, 14) 2. x (-3, -1, 2, 5, 7) y (9, 5, 4, -5, -7)

Adecibel is a logarithmic unit that can be used to measure the intensity of a sound. the function y = 10logx gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity. the reference intensity is generally set at the threshold of hearing. use the graphing utility to graph the decibel function.a whisper has a sound intensity of 30 decibels. use your graph to you complete the following statement. the sound intensity of a whisper is times the reference intensity.

Put the following steps for calculating net worth in the correct order