Determine whether the equation is true or false.
= 
A. False
B. True
Answer: A
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Sketch the graph and show all relative extrema and inflection points.y = 10x2 + 60x
A.
Relative minimum: (-6,-60)
No inflection points
B.
Relative minimum: (3,-90)
No inflection points
C.
Relative minimum: (-3,-90)
No inflection points
D.
Relative minimum: (6,-60)
No inflection points
Rotate the axes so that the new equation contains no xy-term. Discuss the new equation.5x2 - 6xy + 5y2 - 8 = 0
A. ? = 45° - y'2 = 1
hyperbola
center at (0, 0)
transverse axis is the x'-axis
vertices at (±2, 0)
B. ? = 45°
y'2 = -4x'
parabola
vertex at (0, 0)
focus at (-1, 0)
C. ? = 45° + y'2 = 1
ellipse
center at (0, 0)
major axis is the x'-axis
vertices at (±2, 0)
D. ? = 45°
x'2 = -4y'
parabola
vertex at (0, 0)
focus at (0, -1)
Perform the indicated operation. Simplify if possible. +
A.
B.
C.
D.
Use the given graph of f(x) = ax2 + bx + c to solve the specified inequality.f(x) > 0
A. all real numbers B. x > 9 C. x = 0 D. no solution