I'm not really good in math... recently, our prof announced we would be having a test in the coming week, and he gave us the ff. problems as review questions... trouble is, I'm having a hell of a time with it! Please help!
1) f(g(x)) = x+5/x-7 and g(x)=2x+1/3; what is f(x), and find f(x+1/X-1)
2) A circle is inside a rectangle, and it is tangent to each of the longer sides at the Midpoint. Area of rectangle - Area of circle = 126 sq. cm, and the sum of their perimeters is 112cm. What are the dimensiosn of the rectangle? Use pi=22/7.
3) Find x and y so that: their sum x sum of their squares is 5500; their difference x difference of their squares is 352.
4) A cable from a suspension bridge hands in the form of a parabola, thereby distributing the load horizontally. The distance between one tower and another is 150m; the cables are 22m above the roadway (highest pt.); and te lowest pt. above the roadway is 7m.
What is the vertical distance to the cable from a point on the roadway, 15m from the tower?