Given the function f, match the function g with a transformation of f.f(x) = x2 - 7, g(x) = 3x2 - 21
A. f(x + 3)
B. 3f(x)
C. f(3x)
D. f(x) + 3
Answer: B
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Solve the problem.For a motorcycle traveling at speed v (in mph) when the brakes are applied, the distance d (in feet) required to stop the motorcycle may be approximated by the formula Find the instantaneous rate of change of distance with respect to velocity when the speed is 43 mph.
A. 10.6 mph B. 5.3 mph C. 4.3 mph D. 44 mph
Provide an appropriate response.Find an equation of the line tangent to y = xcsc x at the point x = 1.
A. y = x csc 1 - 1 + csc 1 B. y = x csc 1 + 1 - csc 1 C. y = x csc 1 + 1 + csc 1 D. y = x csc 1 - 1 - csc 1
Find the standard-form equation for a hyperbola which satisfies the given conditions.A hyperbola centered at the origin having focus at (12, 0) and eccentricity equal to
A. +
= 1
B. -
= 1
C. +
= 1
D. -
= 1
Solve the problem.An earthquake had an intensity 10 6.1 times more powerful than a reference level earthquake, or What was the magnitude of this earthquake on the Richter scale?
A. 6.1 B. 3.9 C. 14 D. 16.1