Which of the following pairs of expressions could represent consecutive odd numbers?
2 answers:
Answer: The correct option is
(B) n and n + 2.
Step-by-step explanation: We are given to select the correct pair of expressions that could represent consecutive odd numbers.
Let n and m be two consecutive odd numbers.
We know that
the difference between two consecutive odd numbers is 2.
So, we must have
Therefore, if n is one odd number, then the next odd number is (n + 2).
Thus, n and n + 2 represents the pair of consecutive odd numbers.
(B) is the correct option.
You might be interested in
Answer:
A. Increase by 2
Step-by-step explanation:
Given that a fitted multiple regression equation is
This is a multiple regression line with dependent variable y and independent variables x1, x2, x3 and x4
The coefficients of independent variables represent the slope.
In other words the coefficients represent the rate of change of y when xi is changed by 1 unit.
Given that x3 and x4 remain unchanged and x1 increases by 2 and x2 by 2 units
Since slope of x1 is 5, we find for one unit change in x1 we can have 5 units change in y
i.e. for 2 units change in x1, we expect 10 units change in Y
Similarly for 2 units change in x2, we expect -2(4) units change in Y
Put together we have
change in y
Since positive 2, there is an increase by 2
A. Increase by 2