List which of the associative and commutative properties are being used in each step. (9x – 3)+(10-5x)=9x – 3+10 - 5x

9x - 3+10-5x = 9x-5x - 3+10

9x – 5x – 3+10=(9x -5x)+(-3+10)

= 4x+7

An assembly consists of two mechanical components. suppose that the probabilities that the first and second components meet specifications are 0.87 and 0.84. assume that the components are independent. determine the probability mass function of the number of components in the assembly that meet specifications. x

To find the extreme values of a function f(x. y) on a curve x-x(t), y y(t), treat f as a function of the single variable t and use the chain rule to find where df/dt is zero. in any other single-variable case, the extreme values of f are then found among the values at the critical points (points where df/dt is zero or fails to exist), and endpoints of the parameter domain. find the absolute maximum and minimum values of the following function on the given curves. use the parametric equations x=2cos t, y 2 sin t functions: curves: i) the semicircle x4,y20 i) the quarter circle x2+y-4, x20, y20 b, g(x, y)=xy

Polygon abcde is reflected to produce polygon a′b′c′d′e′. what is the equation for the line of reflection?