Answer:
Every Mersenne number is a prime number is a false statement.
Step-by-step explanation:
Consider the provided information.
Mersenne number are the numbers which is in the form:
Where k is an integer.
The first Mersenne number are:
1, 3, 7, 15, 31, 63, 127, 255, ...
The prime number are the natural number greater than 1 and they cannot be formed by product of two smaller natural numbers.
First few prime number are:
2, 3, 5, 7, 11, 13, 17, 19, 23, 29,..
Now observe that 15 is a mersenne number but it is not a prime number as 15 can be formed by product of 3 and 5.
Thus, Every Mersenne number is a prime number is a false statement.
Answer:
The line equation in slope-intercept form is:
Hence, option D is true.
Step-by-step explanation:
Given the points
Finding the slope between the points
As the y-intercept is obtained by setting the value x = 0.
As we know that when x = 0, the vale of y-intercept y = 4
so the y-intercept is b = 4.
As the slope-intercept form is
substituting the slope m = -2/5 and the y-intercept b=4
Therefore, the line equation in slope-intercept form is:
Hence, option D is true.