code: public static void update(final Activity activity, final MenuItem menu, Drawable icon, BadgeStyle style, String badgeCount) {
          update(activity, menu, icon, style, badgeCount, null);
      }
docs: update the given menu item with icon, badgeCount and style
  
  @param activity   use to bind onOptionsItemSelected
  @param menu
  @param icon
  @param style
  @param badgeCount