Given f(x) and g(x), find the following.f(x) = x2 - 2x and g(x) = x - 4. Find (f + g)(x) and (f + g)(-3).
A. x2 - 1x - 4; 11
B. x2 - 2x - 4; 11
C. x2 - 1x - 4; 8
D. 2x2 - 6x; 36
Answer: C
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Tell whether the graph opens upward or downward and whether the graph is wider, narrower, or the same as f(x) = x2.f(x) = x2 + 12
A. Downward, same B. Upward, same C. Upward, wider D. Upward, narrower
Solve the problem.The angle of elevation from a point on the ground to the top of a tower is . The angle of elevation from a point 141 feet farther back from the tower is
. Find the height of the tower (to the nearest foot).
A. 1,538 ft B. 150 ft C. 154 ft D. 164 ft
Solve the problem.The weight that a horizontal beam can support varies inversely as the length of the beam. Suppose that a 5-m beam can support 480 kg. How many kilograms can a 2-m beam support?
A. 0.0208 kg B. 48 kg C. 0.0008 kg D. 1200 kg
Solve.If the force acting on an object stays the same, then the acceleration of the object is inversely proportional to its mass. If a force acts on an object with a mass of 80 kilograms so that it accelerates at per second per second, then find the acceleration of an object with a mass of
that is acted on by the same force.
A. 10 meters per second per second B. 80 meters per second per second C. 90 meters per second per second D. 81 meters per second per second