The graph of g is a horizontal shrink by a factor of and a translation 1 unit down, followed by a reflection in the x-axis of the graph of f(x) = (x + 6)? +3. Write a rule for g. Then identify the vertex.

2x - 20 = 32 20 - 3x = 8 6x - 8 = 16 -13 - 3x = -10

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters

Joanie wrote a letter that was 1 1/4 pages long. katie wrote a letter that was 3/4 page shorter then joagies letter. how long was katies letter