Answer:
True.
Step-by-step explanation:
C(4, 3) means the number of combinations from 4 items taking 3 at a time. We are selecting 3 distinct items and it doesn't say anything about the order in which they are selected , so we use a combination formula not a permutation ( where order does matter).
C(4, 3) = 4! / 3! 1!
= 4*3*2*1 / 3*2*1*1
= 4.
There are 4 ways to select 3 items from 4.
Answer:
y = 2x + 20


Step-by-step explanation:
Vlad spent 20 minutes on history. Then Vlad spent 2 minutes on each math problem for homework, this is 2x. So in total, he spent 20+2x on homework. Depending on how many problems he did, the total time y can be found. This is the equation 20+2x=y.
If Vlad did 0 math problems then he spent at least 20 minutes on homework from history. This is the constraint
.
We also know Vlad can do many math problems but the least amount he did was 0, so the second constraint is
.
Since the denominators are the same, just add the tops. 1x+2 all over y^2-8