Which of the following augmented matrices are in reduced row-echelon form?

Avril Living sells sofas for $700 each. Suppose their profit function, in dollars, is \(P(x) =  200x – 340,000\), where \(x\) is the number of sofas sold.   What is the break-even point for the sofa?

Suppose we have a line described by the equation 10x – 2y = 8. If \(x\) were to decrease by 8 units, what would the corresponding change in \(y\) be?

Multiplying a matrix by a single number will not change the number of rows and columns of the matrix.

Suppose \(A\) is a 4×3 matrix and \(B\) is a 3×4 matrix. What are the dimensions of \(29A\) ? If these calculations are not possible, just put DNE in each blank.   Your answer: x

For each of the remaining four questions, you must show ALL of your work to get full credit. Clearly organize your written work on these! Also, draw a box around your final answer.   #27 (Workout – 6 points) Solve the following system of linear equations using the Gauss-Jordan elimination method from class, either with or without calculator aid. If your solution turns out to be parametric, use \(z=t\) as the parameter. If no solution exists, explain why not.     #28 (Workout – 7 points) Solve the following system of equations algebraically (meaning, by hand). If your solution turns out to be parametric, use \(x=t\) or \(y=t\) as the parameter. If no solution exists, explain why.

When modeling linear depreciation, the slope is always negative.

According to the Chemical Digestion Map, which of the following is the major “food form” of proteins (select all that apply) 

According to the Chemical Digestion Map, which of the following is an absorbable unit of carbohydrates (select all that apply) 

Listed below are the compartments of the gastrointestinal tract and the sphincters/valves that separate them.  The first and last item on the list are numbered appropriately, the rest of the numbers are missing.  Fill in the missing numbers according to the anatomy of the gastrointestinal tract. _1_  Mouth  Small Intestine Stomach Ileocecal Valve  Cardiac Sphincter (or lower esophageal sphincter)  Pyloric Sphincter  Colon Esophagus  Upper Esophageal Sphincter  _10_  Anus & Anal Sphincters