Joanna recorded the number of laps she swam during practice in one week. freestyle 100 breaststroke 50 backstroke 60 butterfly 25 what is the value of the breaststroke to butterfly ratio? [type your answer as a fraction in simplest form. use / for the fraction bar and no spaces.]

F(x)=x/2-2 and g(x)=2x^2+x-3 find (f+g)(x)

Determine the difference: 3.2 × 1010 – 1.1 × 1010. write your answer in scientific notation.

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