22. Students may verify their claims by
comparing slopes and y-intercepts.
a. 2x + 3y = 9 is line l because its intercepts are (4.5, 0) and (0, 3), which satisfy the equation.
b. 3x - 4y = 12 is line n because its intercepts are (4, 0) and (0, - 3), which satisfy the equation.
c. x - 3y = 6 is line m because its intercepts are (6, 0) and (0, - 2), which satisfy the equation.
d. 3x + 2y = 6 is line k because its intercepts are (2, 0) and (0, 3), which satisfy the equation.

question 1 is 8, question 2 is 9, question 3 is 24

step-by-step explanation:

now, the numbers they give you at the top are the key. from there, you just have to plug and chug! let's try 1, 2, and 3!

key: a=3, b=5, c=6

1. a+5

remember, a=3, so we plug that in to get 3+5=8

2. 15-c

c=6, so we plug that in to get 15-6=9

3. 4b

b=6, so we plug it in to get 4*6=24

time to try the rest on your own! if you put the answers below in a comment, i'll check them for you!

there is only one way to arrange all the eight relative to each other because they are not distinct. we have

now there are nine places to place an (and not more than one in one place).   because we have four symbols, we need to choose four of these nine places to insert an . order does not matter because the are not distinct.

thus there are 1 · c(9,4) ways, or, if we calculate it,

thus there are 126 ways to form such "words."