Answer:
The average rate of change of h(x) in the given interval is 7.
Step-by-step explanation:
When we want to find the average rate of change of a function f(x), in an interval a < x < b, we just need to calculate:
Here we have:
h(x) = 2*x^2 - 7*x
And we want to find the average rate of change between x = 2 and x = 5
This will be:
The average rate of change of h(x) in the given interval is 7.
Answer:
3.2 miles
Step-by-step explanation:
Given that Mary drives 9 miles north and 6 miles east to get there, the resultant miles will be achieved by using pythagorean theorem
R = sqrt ( 9^2 + 6^2 )
R = sqrt ( 81 + 36 )
R = sqrt ( 117 )
R = 10.82 miles
while Ben drives 3 miles south and 7 miles west
Use the same pythagorean theorem to find the resultant displacement
R = sqrt ( 3^2 + 7^2 )
R = sqrt ( 9 + 49 )
R = sqrt ( 58 )
R = 7.62 miles
The difference in miles to where Mary and Benjamin live will be difference in the resultant displacement of the two
Difference = 10.82 - 7.62 = 3.2 miles.
Therefore, Mary live 3.2 miles from Benjamin.
8 and 1/2 would be probably the answer
ratio of perimeter is the same as ratio of sides so perimeter would be 1:4
since area is in square units you need to square the ratio (1:4)^2 which is 1:16
1+1/3+1/3= 1+2/3= 1 and 2/3
