ΔABC will undergo two transformations to give ΔA′B′C′. Which pair of transformations will give a different image of ΔABC if the order of the transformations is reversed? A.
a rotation 90° counterclockwise about the origin followed by a reflection across the y-axis

B.
a translation 5 units down followed by a translation 4 units to the right

C.
a reflection across the x-axis followed by a reflection across the y-axis

D.
a rotation 180° clockwise about the origin followed by a reflection across the y-axis

Exercise: counting committees 0.0/2.0 puntos (calificable) we start with a pool of n people. a chaired committee consists of k≥1 members, out of whom one member is designated as the chairperson. the expression k(nk) can be interpreted as the number of possible chaired committees with k members. this is because we have (nk) choices for the k members, and once the members are chosen, there are then k choices for the chairperson. thus, c=∑k=1nk(nk) is the total number of possible chaired committees of any size. find the value of c (as a function of n ) by thinking about a different way of forming a chaired committee: first choose the chairperson, then choose the other members of the committee. the answer is of the form c=(α+nβ)2γn+δ. what are the values of α , β , γ , and δ ?