We need to see the angels do u have a picture??
Answer:
The correct option is A. x – 1 < n < 3x + 5
Step-by-step explanation:
In a triangle sum of any two sides is always greater than the third side.
Now, the sides of the triangle are given to be :
2x + 2, x + 3 , n
Now, first take 2x + 2 and x + 3 as two sides and the side of length n as third side.
By using the property that sum of two sides is always greater than the third side in a triangle.
⇒ 2x + 2 + x + 3 > n
⇒ 3x + 5 > n ......(1)
Now, take n and x + 3 as two sides and the side of length 2x + 2 as the third side of triangle.
So, by the property, we have :
n + x + 3 > 2x + 2
⇒ n > x - 1 ...........(2)
From both the equations (1) and (2) , We get :
x – 1 < n < 3x + 5
Therefore, The correct option is A. x – 1 < n < 3x + 5
Answer:
We are given the following in the question:
where P(x) in millions is the number of U.S. travelers from 1990 through 2009 and x = 1 represents 1991.
We have to approximate the number of U.S. travelers to other countries in each given year.
(a) 1990
We put x = 0 in the given function.
Thus, there are 48.09 millions U.S. travelers in 1990.
(b) 2000
We put x = 10 in the given function.
Thus, there are 56.888 millions U.S. travelers in 2000.
(c) 2009
We put x = 19 in the given function.
Thus, there are 31.085 millions U.S. travelers in 2009.
Step-by-step explanation:
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Option C: 1 is the simplification of the expression 
Explanation:
The given expression is 
We need to simplify the given expression.
<u>Simplification:</u>
To simplify the given expression, let us apply the exponent rule,
where 
Thus, the the exponent rule
means that any value (except zero) to the power of zero is equal to one.
Thus, the expression
becomes,

Therefore, the simplified expression is 1
Hence, Option C is the correct answer.