<span>To start, look at the factors of the smallest number: in this case, 50. The factors of 50 are: 1,2,5,10,25,50. Moving to the next smallest number, 125, the factors are: 1,5,25,125. The final number, 275, has factors of: 1,5,11,25,55,275. Looking at all three of these numbers, the common factors are: 1,5,25. The greatest common factor, then, is 25.</span>
To solve for this, we need to find for the value of x
when the 1st derivative of the equation is equal to zero (or at the
extrema point).
So what we have to do first is to derive the given
equation:
f (x) = x^2 + 4 x – 31
Taking the first derivative f’ (x):
f’ (x) = 2 x + 4
Setting f’ (x) = 0 and find for x:
2 x + 4 = 0
x = - 2
Therefore the value of a is:
a = f (-2)
a = (-2)^2 + 4 (-2) – 31
a = 4 – 8 – 31
a = - 35
Answer:
(1,-5)
Step-by-step explanation:
The given system of inequalities are;
and
The point that is a solution will satisfy the two inequalities.
Checking for (1,-5)
and 
: True 
: True
This point lies in the solution region.
Checking for (1,5)
and 
: False 
: False
This point does not lie in the solution region.
Checking for (5,1)
and 
: False 
: True
This point does not lie in the solution region.
Checking for (-1,5)
and 
: True 
: False
This point does not lie in the solution region.
Answer:
False.
Since the number of numbers in the world is infinite, there can be an infinite number of equivalent fractions.
