The average rate of change is 11
Explanation:
The given function is 
We need to determine the average rate of change for the function from 2 to 6
The average rate of change can be determined using the formula,
where 
and 
Now, we shall determine the values of f(2) and f(6) by substituting the values for x = 2 and x = 6 in the function
Thus, we have,
Similarly, substituting x = 6, we get,
Hence, substituting these values in the formula , we get,
Simplifying, we get,
Thus, the average rate of change for the function from 2 to 6 is 11
Answer:
2 inches
Step-by-step explanation:
her house is 12 miles away from the library so if its 1 inch per 6 mile
then multiply both by 2 to get 2 inches for 12 miles
When values of a quadratic function are listed in a table with x-values having a constant difference, the y-vlaues will have a constant (non-zero) second-difference.
Here, we can list first and second differences for the values in the given tables to identify the quadratic function.
Table 1.
- 1st differences: 3, 3, 3, 3
- 2nd differences: 0, 0, 0, 0 . . . . this is a linear function
Table 2.
- 1st differences: -6, -2, 2, 6
- 2nd differences: 4, 4, 4 . . . . this is a quadratic function
Table 3.
- 1st differences: 5, -8, -3, -3
- 2nd differences: -13, 5, 0 . . . . can be described by a 4th degree polynomial
Table 4.
- 1st differences: 3, 0, -3, -3
- 2nd differences: -3, -3, 0 . . . . can be described by a 4th degree polynomial
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The appropriate choice is Table 2.
49-16=33 this is the answer
-4-(2m+3)=-m-(5+3)
-4-2m-3=-m-5-3m
-2m-7=-4m-5
-2m+4m=-5+7
2m=2
m=2/2
m=1
