An experiment involving carbon (x) and hydrogen (y) was conducted, and a linear relationship between the amounts of the two elements present was discovered. at one point during the experiment, there were 2 grams of carbon and 14 grams of hydrogen. at another point during the experiment, there were 4 grams of carbon and 52 grams of hydrogen.

which equations in point-slope form model the approximate relationship of carbon and hydrogen?

there is more than one correct answer choice. select all correct answer choices.

y−2=19(x−14)
y−14=−19(x−2)
y+52=19(x+4)
y−14=19(x−2)
y−52=19(x−4)
y+14=−19(x+2)
y−52=−19(x−4)
y−4=19(x−52)

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 ?