Sonia works at a bakery. The function f(x) represents the amount of money in dollars Sonia earns per loaf, where x is the number of loaves she makes. The function g(x) represents the number of bread loaves Sonia bakes per hour, where x is the number of hours she works. f(x) = 9x2 + 1

g(x) = the square root of two times x cubed

Find f(g(x)).

f(g(x)) = 18x3 + 1 dollars over hour
f(g(x)) = 18x3 + 1 loaves over hour
f of g of x equals the square root of the quantity 18 times x to the fifth power plus 1 loaf per hour
f of g of x equals the square root of the quantity 18 times x to the fifth power plus 1 dollar over an hour

Solve each quadratic equation by factoring and using the zero product property. x^2 + 18x = 9x

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

Factor the polynomial, if possible. if the polynomial cannot be factored, write prime. 9n^3 + 27n^2 – 25n – 75