15 1.25
The relationship between the postage rate and the weight of a letter can be defined
by a piecewise function.
The graph shows the 2018 postage rates for using regular service to mail a letter.
1
postage (dollars)
0.75
0.5
0.25
05
i 15 2 25 3 3.5
weight (ounces)
Kiran and Mai wrote some rules to represent the postage function, but each of them made some errors.
Kiran
Mai
K(W) =
0.50, 0 0.71, 1 0.92, 2 1.13, 3 M(w) =
0.50, 0 0.71, 1 0.92, 2 1.13, 3 Identify the error in each person's work and write a corrected set of rules.

Given: and prove: what is the missing reason in the proof? given transitive property alternate interior angles theorem converse alternate interior angles theorem

Write an equation of the line that passes through the point (2, 3) and is perpendicular to the line x = -1. a) y = 1 b) y = 3 c) y = 0 eliminate d) y = -3

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