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Let A = [1 2
-3 5]
Let X = [x1
x2]
Let B = [-4
12]
Show that the equation AX = B represents a linear system of two equations in two unknowns Solve the system and substitute into the matrix equation to check your results
Plot the graph of the equations 4x - 6y = 12 and x - 5y = 10 and interpret the result. Plot the graph of the equations 8x - 4y = 12 and -4x + 2y = -6 and interpret the result.
Why is it important to understand linear equations in business? In particular can you provide examples where the relationship between items that can be affected by management and 'items' that management wished to achieve or attain may be 'linear'?
Suppose u and v are non-parallel unit vectors, a=u+sqrt(3)v and b=u-sqrt(3)v. If the angle theta between u and v are the same as that between a and b, find cos theta.
If the annual proportion of erroneous income tax returns filed with the IRS can be looked upon as a random variable having a beta distribution with α= 2 and β = 9,
Let F be a forest. Add a vertex x to F and join x to each vertex of odd degree in F. Prove that the graph obtained in this way is randomly Eulerian from x
Find the absolute maximum and minimum mpg
The board of a pharmaceutical company has nine members. One board member will be selected as vice president of marketing, and a different board member will be selected as vice president of research
Consider a standard deck of playing cards. You randomly select a card from the deck and find that you have drawn a face card.
Assuming that the total cost per day, C(x), is linearly related to the total output per day, x, write an equation for the cost function.
Find the slope of the tangent line to the graph of y= ln[x*e^x] at the point where x=3.
Coffee is draining - Application of calculus
A box contains 4 green, 10 red, 6 yellow, and 5 blue marbles. Four marbles are drawn from the box without replacement. What is the probability that you get one marble of each color?
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