Answer:
The average rate of change of the function over the interval x = 0 to x = 6 is .
Step-by-step explanation:
Geometrically speaking, the average rate of change () of the function over a given interval is determined by equation of secant line, that is:
(1)
Where:
, - Lower and upper bounds.
, - Function evaluated at lower and upper bounds.
If we know that , and , then the average rate of change of the function over the interval is:
The average rate of change of the function over the interval x = 0 to x = 6 is .
Based on her on training regiment, Amanda will be able to run 26 miles in the 25th week.
<h3 /><h3>What is the total number of miles Amanda will run every week?</h3>
Amanda will run 2 miles in the first week and then 1 less mile in the following week. Then 3 more miles in the week after.
Week 1 - 2 miles
Week 2:
= 2 - 1
= 1 mile
Week 3:
= 1 + 3
= 4 miles
Week 4:
= 4 - 1
= 3 miles
Week 5:
= 3 + 3
= 6 miles
From the given pattern, Amanda increase the number of miles ran by 2 miles every 2 weeks.
The number of miles ran every other week would therefore be:
Week 7 = 8 miles
Week 9 = 10 miles
Week 11 = 12 miles
Week 15 = 16 miles
Week 19 = 20 miles
Week 25 = 26 miles
In conclusion, she would reach her goal in 25 weeks.
Find out more on solving schedule problems at brainly.com/question/20020676.
The equation of the line in slope - intercept form is
Explanation:
The line passes through the points and parallel to the line
Since, the line is parallel, the slope is
The y - intercept can be determined by substituting the points and in the slope - intercept formula, we get,
Thus, the y - intercept is
The equation of the line in slope - intercept form can be determined using the formula
Thus, substituting and , we get,
Hence, the equation of the line in slope - intercept form is
Answer:
74 units squared
Step-by-step explanation:
we know that the area of a square or rectangle is A = L × w
so we should just separate the object into it's individual rectangles/squares, solve for their areas, then add them together.
so I'll start with the middle square its length is 8 and width is 8 too.
A = 8 × 8
A = 64
now we'll move on to the other small ones to the side.
the one on the right side it's length is 2 and width is 2.
A = 2 × 2
A = 4
and then the last one on the left, Length is 3, width is 2.
A = 2 × 3
A = 6
now we'll add up all of the areas to get the total area.
Total = 64 + 4 + 6
Total = 74 units squared