An apple pie uses 4 cups of apples and 3 cups of flour. an apple cobbler uses 2 cups of apples and 3 cups of flour. you have 16 cups of apples and 15 cups of flour. when you sell these at the farmers market you make $3.00 profit per apple pie and $2.00 profit per apple cobbler. use linear programming to determine how many apple pies and how many apple cobblers you should make to maximize your profit. 1. let ×= the number of apple pies you make and y= the number of apple cobblers you make. write an inequality to show the constraint on the amount of apples you have? 2. write an inequality to show the constraint on the amount of flour you have . 3. write any non negativity contraints on x and y

In a graph with several intervals o data how does a constant interval appear? what type of scenario produces a constant interval?

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

Which best explains why this triangle is or is not a right triangle ?