Solve the problem.Assume that the annual sales of a small manufacturer can be modeled by a linear function and that sales were $11,500 in 1982 and $80,000 in 1987. Let x = 0 represent 1982 and f(x) represent annual sales, and write a formula for f(x).
A. f(x) = 68,500x + 11,500
B. f(x) = 13,700x + 80,000
C. f(x) = 13,700x + 11,500
D. f(x) = 68,500x + 80,000
Answer: C
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Solve the problem.A musician plans to perform 6 selections. In how many ways can she arrange the musical selections?
A. 360 B. 720 C. 72 D. 36
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.31x2 + 10xy + 21y2 -144 = 0
A. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-, 0)
B. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -)
C. ? = 30° +
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±3)
D. ? = 36.9° +
= 1
ellipse
center at (0, 0)
major axis is x'-axis
vertices at (±3, 0)
A wheel with radius r rotates at 6 rpm.
?
Find v if ft. Round to the nearest foot per minute.
?
A. 135 ft/min B. 151 ft/min C. 185 ft/min D. 82 ft/min E. 63 ft/min
Find all complex-number solutions by using the quadratic formula.y2 - 2y = -217
A. 1 ± i
B. -1 ± 6i
C. 1 ± 6
D. 1 ± 6i