A website is having a sale of 15% off the price, x, of regular-priced items. For its loyalty club members, the site is offering an additional 15% off the sale price. An 8% shipping and handling fee is then added to the discounted price to determine the final cost. The functions below represent each part of a loyalty member’s purchase. Sales price: S(x) = 0.85x

Loyalty member discount: L(S) = 0.85S

Final cost: C(L) = 1.08L

Which is the composite function for the price a loyalty member would pay based on the original price, x?

C(L(x)) = 2.7800x
C(L(x)) = 0.9180x
C(L(x)) = 0.7803x
C(L(x)) = 0.7225x

In a probability experiment, karen flipped a coin 76 times. the coin landed on heads 32 times. what percentage of the coin flips resulted in tails? round to the nearest percent. a. 58% b. 65% c. 42% d. 60%

Asystem of linear equations with more equations than unknowns is sometimes called an overdetermined system. can such a system be consistent? illustrate your answer with a specific system of three equations in two unknowns. choose the correct answer below. a. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 6 b. no, overdetermined systems cannot be consistent because there are fewer free variables than equations. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 12 c. yes, overdetermined systems can be consistent. for example, the system of equations below is consistent because it has the solution nothing. (type an ordered pair.) x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 8 d. no, overdetermined systems cannot be consistent because there are no free variables. for example, the system of equations below has no solution. x 1 equals 2 comma x 2 equals 4 comma x 1 plus x 2 equals 24

For a function f(x), a) if f(7) = 22 then f^-1(22) = b) f^-1(f(c)) =