the answers are clear if you use priority and equation rules.
- q=11
- u=2
- a=13
- l=8
- s=12
Answer:
a) 
b) 
c) 
d) 
Step-by-step explanation:
a) 
When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.
In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get
b) 
What are the common terms here?
It can be seen that each of these share a 2x, so our factored form would be
c) 
What about this one?
The common factor of this one is 5x, so our factored form would be
d) 
The common factor of this one is 
, so our factored form would be
If Gail practises swimming for 1 and 1/4 hours a day, then in a week she'll do:
1 1/4 * 7 = 5/4 * 7 = 35/4 = 8 3/4 [hours]
In other words she'll practice 8 hours and 45 minutes a week (assuming that she's still practicing on weekends).
Remember, |n|≥0 for all real numbers n
so
-|x|=0
times -1
|x|=0
true, x=0, has a solution
|x|=-15
false, can't have negative absolute value
-|x|=12
|x|=-12
false, no negative absolute value
-|-x|=9
|-x|=-9
false, no negative absolute value
-|-x|=-2
|-x|=2
x=2 or -2
true, has solutions
the ones that have no solutions are
|x|=-15
-|x|=12
-|-x|=9
Step-by-step explanation: The set of real numbers is denoted using the symbol R or. and is sometimes called "the reals".
