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:
see below
Step-by-step explanation:
(3x+1)/2<−x+4
Multiply each side by 2 using the multiplication property of equality
3x+1 < -2x +8
Subtract 1 from each side using the subtraction property of equality
3x < -2x+7
Add 2x to each side using the addition property of equality
5x < 7
Divide each side by 5 using the division property of equality
x < 7/5
Total weight=number of pennies times weight of 1 penny
total weight/weight of 1 penny=number of pennies
636.3/3.03=210
210 pennies
Answer:
ones
Step-by-step explanation:
Answer:
48
Step-by-step explanation:
120 divided by 2.5 = 40
