The reflector of a searchlight is in the shape of a paraboloid of revolution. Its diameter is 24 centimeters and its depth is 18 centimeters. How far from the vertex should the light bulb be placed so that the rays will be reflected parallel to the axis?

If f(x) = 4x – 3 and g(x) = 8x + 2, find each function value a.f[g(3)] b.g[f(5)] c.g{f[g(-4)]}

Ican interpret and represent the remainder in division calculations sensibly for the context (eg 27.4 in calculating average height in cm: $27.44 if it represents an amount of money) solve the following problems. 15) the wildlife park charges $25.50 dollars per person to enter their park if the park made $15096 dollars today, how many people entered the park? 16) ms adams plus 2,230 other keen runners ran a marathon: between them they ran 94817.5km. how many km did each competitor run?

What are the solutions for the following system? -2x^2+y=-5 y=-3x^2+5