Answer is A.
The values of x must be greater than or equal to 1 and the value of x must be less than or equal to -2.
x >= 1.....x <= -2
Please see attachment!
First, we can choose the seats for the four mathematicians. Then we seat the physicits, then the engineer. There are 4! ways to seat the mathematicians, then 3! ways to seat the physicists, then 1! ways to seat the engineer. But then we must divide by 8, because we can rotate the table, so there are 8!*4!*3!/8 = 725760 ways to seat everyone.
Answer: graph E.
A geometric sequence can be written as:

where:
a₁ = first term = 4
r = ratio = 0.5
Substituting the numbers, we have:

or else

This is an exponential function with base less than 1. Therefore, we can exclude graph C (which depicts a linear function), and graphs A and D (which depict an exponential function with base greater than 1).
In order to choose between graph B and E, let's evaluate the function in two different points:


Therefore, we need to look for the graph passing through the points (1, 4) and (2, 2). That is graph E.
Answer
0.44
Step-by-step explanation:
Convert to a fraction, then convert to a decimal by dividing the numerator by the denominator.