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 
and
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: 64 centimeters squared.
Step-by-step explanation: This shape is a parallelogram. And the area of a parallelogram is just the base multiplied by the height. Here, the base is 10 cm and the height is 7 cm. So you might think the the area is just 70 centimeters squared. But here's the catch. There is a rectangular region in this parallelogram that is not shaded. But you can still easily solve this problem. All you need to do is find the area of that rectangular region and you already know the length and the width of this region. And, remember, the area of a rectangle is just the length and the width multiplied. So here, the area of that rectangular region is just 2 cm multiplied by 3 cm. Which will give you 6 centimeters squared. Now, all that's left to do is subtract the area of that rectangular region, 6 centimeters squared, from the total area of the parallelogram, 70 centimeters squared. And that should give you 64 centimeters squared as your final answer. I really hope this makes sense and is helpful.
Answer:
the unit rate is 2.25
Step-by-step explanation:
4×2.25=9.0
6×2.25=13.5
8×2.25=18.0
Answer:
if ug ug ug uf yg y gg
Step-by-step explanation:
cry of yf ug ug ug ug ug ug ug u ug. ft
X/5= 15
So we gotta get x alone sooo
Since it’s division we do reverse and do multiplication for the answer
So 15 times 5 is 75
X = 75
