The first book can be any one of the 5.
For each of those . . .
The 2nd book can be any one of the remaining 4.
For each of those ...
The 3rd book can be any one of the remaining 3.
For each of those . . .
The 4th book can be either of the remaining 2.
For each of those . . .
The 5th book is the last one remaining.
Total number of ways to arrange the 5 books is
(5 · 4 · 3 · 2 · 1) = 120 .
Cross off alphabetically ascending (1 way), and alphabetically
descending (1 way), and you're left with (120 - 2) = 118 ways.
Answer:
-x > -5
Step-by-step explanation:
Let's start with a positive number less than 5.
4<5
likewise when applied to -x> -5
-4>-5
Answer:
x = -2.5
x = 2
Step-by-step explanation:
Hello!
We can remove the denominators by multiplying everything by it.
Solve:
Let's make one side equal to 0.
Solve by factoring, and then the zero product property.
Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic,
, think two numbers that equal "ac" and add up to "b".
Using the zero product property, set each factor to 0 and solve for x.
- 2x + 5 = 0
2x = -5
x = -5/2 = -2.5 - x - 2 = 0
x = 2
The two answers are x = -2.5, and x = 2.