Answer:
The common difference is same = d = -9
Therefore, the data represent a linear function.
Step-by-step explanation:
Given the table
x y
1 4
2 -5
3 -14
4 -23
5 -32
Finding the common difference between all the adjacent terms of y-values
d = -5 - 4 = -6,
d = -14 - (-5) = -14+5 = -9
d = -23 - (-14) = -23 + 14 = -9
d = -32 - (-23) = -32 + 23 = -9
It is clear that the common difference between all the adjacent terms is same.
Thus,
d = -9
We know that when y varies directly with x, the function is a linear function.
Here, it is clear that each x value varies 1 unit, and each y value varies -9 units.
i.e. The common difference is same = d = -9
Therefore, the data represent a linear function.
Answer:
3.4 - 2.8d + 2.8d - 1.3 = 2.1
Step-by-step explanation:
The given expression is 3.4 -2.8d + 2.8d -1.3
Let's see the definition of like terms.
Like terms are the terms having the same variable and the same exponents.
Examples: -3xy, 2xy and 4y, 5y and -3, 2.
Now let's identify the like terms from the given expression.
3.4 -2.8d + 2.8d -1.3
Here the like terms are -2.8d, +2.8d and 3.4, -1.3
3.4 -2.8d + 2.8d -1.3
= -2.8d + 2.8d + 3.4 - 1.3 [-2.8d + 2.8d = 0] and 3.4 -1.3 = 2.1
= 0 + 2.1
=2.1
The answer is 2.1
No correlation I believe.