Graph the image of the given triangle after the transformation that has the rule (x, y) −> (-x, -y) .

X= 3y - 6 2x - 4y = 8 solve the system of equations using substitution. a) (-12,-2) b) (15,7) c) (21,9) d) (24,10)

Jocelyn estimates that a piece of wood measures 5.5 cm. if it actually measures 5.62 cm, what is the percent error of jocelyn’s estimate? a. 2.13% b. 2.18% c. 12%

The discrete random variables x and y take integer values with joint probability distribution given by f (x,y) = a(y−x+1) 0 ≤ x ≤ y ≤ 2 or =0 otherwise, where a is a constant. 1 tabulate the distribution and show that a = 0.1.2 find the marginal distributions of x and y. 3 calculate cov(x,y).4 state, giving a reason, whether x and y are independent. 5 calculate e(y|x = 1).