Answer:
x ∈ (-∞, -1) ∪ (1, ∞) 
Step-by-step explanation:
To solve this problem we must factor the expression that is shown in the denominator of the inequality.
So, we have:

So the roots are:

Therefore we can write the expression in the following way:

Now the expression is as follows:

Now we use the study of signs to solve this inequality.
We have 3 roots for the polynomials that make up the expression:

We know that the first two are not allowed because they make the denominator zero.
Observe the attached image.
Note that:
 when
 when 
 when
 when 
and
 is always
 is always 
Finally after the study of signs we can reach the conclusion that:
x ∈ (-∞, -1) ∪ (1, 2] ∪ [2, ∞)
This is the same as
x ∈ (-∞, -1) ∪ (1, ∞) 
 
        
             
        
        
        
Answer:
$50.08 
Step-by-step explanation:
We use x to represent the price of the cheapest hat. Since the more expensive hat is twice the price of the cheaper one, we use 2x to represent it. Therefore x + 2x, or 3x, equals $75.12. Divide 75.12 by 3 to find x, which is 25.04. The more expensive hat is 2x, so we must multiply 25.04 by 2 to find the price of the more expensive hat.
 
        
                    
             
        
        
        
Answer:
12
Step-by-step explanation:
3x^2
because the information provided states that x = -2, that is what we are going to replace x with. 
3(-2)^2
the next step is to evaluate the power because that is next in PEMDAS.
(-2)^2 = 4 
that leaves us with: 
3 * 4 = 12      ( the " * " represents the multiplication sign) 
hope this helps!
 
        
             
        
        
        
Answer:
11 cups
Step-by-step explanation:
Since he has already baked 26.
-The additional number of cakes to be baked is 
=48-26=22 cakes
Each cup of sugar bakes 2 then for 22 it means he needs 22/2=11 cups of sugar
 
        
             
        
        
        
Answer:
Reformatting the input :
Changes made to your input should not affect the solution:
(1): "9.85" was replaced by "(985/100)".
Bad syntax in Linear Equations
... V
 (985/100)xs;s=4 
Bad syntax in Linear Equations
........... V
 (985/100)xs;s=4 
Multiplication of variables in Linear Equations
........... V
 985/100xs;s=4
Equation without an equal sign
............ V
 985/100xs;s=4
Step-by-step explanation:
BRAINLIST PLEASE