For the pair of functions, find the product function or functional value indicated.Find (fg)(5).f(x) = x2 - 2g(x) = x - 2
A. (fg)(5) = 189
B. (fg)(5) = 129
C. (fg)(5) = 5x3 - 10x2 - 10x + 20
D. (fg)(5) = 69
Answer: D
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Find the discount and proceeds on the simple discount note. Round to the nearest cent.Maturity value: $63,370.00Discount rate: 10.75%Time (days): 40
A. Discount: $746.55 Proceeds: $62,623.45 B. Discount: $0.00 Proceeds: $63,370.00 C. Discount: $6812.27 Proceeds: $56,557.73 D. Discount: $756.92 Proceeds: $62,613.08
Factor the expression.15x2y - 5xy + 15y2
A. 5xy(3x2 - x + 3y) B. 5y(3x2 + x + 3y) C. y(15x2 - 5x + 15y) D. 5y(3x2 - x + 3y)
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.x2 + xy + y2 - 3y - 6 = 0
A. ? = 45° +
= 1
ellipse
center at
major axis is y'-axis
vertices at and
B. ? = 45° -
= 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±, 0)
C. ? = 45° +
= 1
ellipse
center at (0, 0)
major axis is y'-axis
vertices at (0, ±2)
D. ? = 45°
y'2 = -18x'
parabola
vertex at (0, 0)
focus at
Determine whether the equation defines y as a function of x. y =
A. function B. not a function