Solve.In the land of Taxalot, the function T(x) = 0.19(x - 8500) + 0.19 represents the tax bill T of a single person whose adjusted gross income is x dollars for incomes between 8500 and 30,800 inclusive. Which variable is independent and which is dependent?
A. The independent variable is gross income; the dependent variable is adjusted gross income
B. The independent variable is x; the dependent variable is 8500
C. The independent variable is T; the dependent variable is x
D. The independent variable is x; the dependent variable is T
Answer: D
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Solve the polynomial equation in the complex numbers.x3 - 3x2 + 9x + 13 = 0
A. {-1, 3 + 2i, 3 - 2i}
B. {-1, 2 + 3i, 2 - 3i}
C. {1, 2 + , 4 -
}
D. {-1, 3 + , 3 -
}
Solve.A railroad tunnel is shaped like a semi-ellipse. The height of the tunnel at the center is 12 ft and the vertical clearance must be 8 ft at a point 15 ft from the center. Find an equation for the ellipse.
A. +
= 1
B. +
= 1
C. +
= 1
D. +
= 1
Solve the problem.Arches in the shapes of parabolas are often used in construction. Find the equation of a parabolic arc that is 24 feet high at its highest point and 26 feet wide at the base, as illustrated in the figure. Place the origin at the midpoint of the base.
A. y = -x2 + 26
B. y = - x2 + 24
C. y = x2 + 24
D. y = -x2 + 24
Solve the inequality. Express your answer using interval notation.(3x + 5)-1 < 0
A.
B.
C.
D.