Solve for the indicated variable.a + b = s + r, for s
A. s = 
+ b
B. s = r(a + b)
C. s = a + b - r
D. s = 
Answer: C
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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
In electrical circuits, the impedance Z (or opposition to the flow of electricity), voltage V, and current I can all be represented by complex numbers. They are related by the equation Z = 
. Use this equation to find the value of the missing variable.I = 8 + 6i, Z = 4 - 9i
A. V = - 
- 
i
B. V = 32 - 54i
C. V = -22 - 48i
D. V = 86 - 48i
Find the vertex, focus, and directrix of the parabola. Graph the equation.(y - 2)2 = -4(x + 3)
A. vertex: (-3, 2)
focus: (-4, 2)
directrix: x = -2
B. vertex: (-3, 2)
focus: (-3, 1)
directrix: y = 3
C. vertex: (-2, 3)
focus: (-3, 3)
directrix: x = -1
D. vertex: (3, -2)
focus: (3, -3)
directrix: y = -1
Use the order of operations to evaluate the following expression:
a. -4 b. 2 c. 5 d. 10