The product –2 • (–5) is shown on the number line. Use the drop-down menus to explain how the model on the number line could be used to find the answer. Number line from -10 to 10. Start at -10. Count up by 1. 2 black arrows are shown above the number line. First from -5 to 10 above which from -5 to 0 Starting at 0, move twice to the Choose... 5 spaces. 2 • –5= Choose... . Since –2 • (–5) is Choose... 2 • (–5), the number line shows the same distance to the Choose... of 0.

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

Drag each number to the correct location on the statements. not all numbers will be used. consider the sequence below. -34, -21, -8, 5, complete the recursively defined function to describe this sequence

Ameteorologist is studying the monthly rainfall in a section of the brazilian rainforest. she recorded the monthly rainfall, in inches, for last year. they were: 10.4, 10.3, 11.7, 11.1, 8.0, 4.4, 2.6, 1.8, 2.5, 4.4, 7.3, 9.5 fill in the missing values in the formula. what is the variance?