In a salad with vegetables containing 50 calories dressing is added at 100 calories per ounce.
the total number of calories can be represented by the equation f(x) = 100x + 50.
a. can someone add negative ounces of dressing? what does that mean for the x-values?
b. can someone add zero ounces of dressing? what does that mean for the x-values?
c. can someone have partial ounces of dressing? what does that mean for the x-values?
d. is the function discrete or continuous?

The sum of the reciprocal of a positive number and the reciprocal of 2 more than the number is 3/4 equation: the number is

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

Consider the equation  y−2=3(x+2).which option correctly identifies the point and slope from the equation and also provides the graph that correctly represents the equation?