A manufacturer of wooden chairs and tables must decide in advance how many of each item will be made in a given week. Use the table to find the system of inequalities that describes the manufacturer's weekly production.Use x for the number of chairs and y for the number of tables made per week. The number of work-hours available for construction and finishing is fixed.
A. 2x + 4y ? 48
2x + 3y ? 42
B. 2x + 4y ? 48
2x + 3y ? 42
x ? 0
y ? 0
C. 2x + 4y ? 48
2x + 3y ? 42
x ? 0
y ? 0
D. 2x + 4y + 48 ? 0
2x + 3y + 42 ? 0
Answer: B
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If r(t) is the position vector of a particle in the plane at time t, find the indicated vector.Find the acceleration vector.r(t) = (cos 2t)i + (5 sin t)j
A. a = (-4 cos 2t)i + (-5 sin t)j B. a = (-2 cos 2t)i + (5 sin t)j C. a = (-4 cos 2t)i + (-25 sin t)j D. a = (4 cos 2t)i + (-5 sin t)j
Use synthetic division to find the quotient and remainder.(2x3 + 3x2 + 4x - 10) ÷ (x + 1)
A. 2x2 + 5x + 9 - 
B. 2x2 + x + 3 + 
C. 2x2 + x + 3 - 
D. 2x2 + 5x + 9 + 
Solve the problem.Consider an economy with only two industries: A and B. Suppose industry B needs 17 cents worth of A's product for each 1 dollar of output B produces and that industry A needs 24 cents worth of B's product for each 1 dollar of output A produces. Consumer demand for A's product is 1200 dollars and for B's product is 750 dollars. Write an augmented matrix for this economy.
A. 
B. 
C. 
D. 
Point P is on the terminal side of ?. Evaluate the six trigonometric functions for ?. If the function is undefined, write "undefined."P(-7, -9); find cos ?.
A. - 
B. - 
C. 
D. - 