The areas can be estimated by adding the function values at the midpoints of the intervals 3–4 and 4–5. Those midpoints are x = 3.5 and x = 4.5. Hence we can approximate the area by adding f(3.5) and f(4.5). That is what is done in the attachments.
Top to bottom, the functions have approximate areas on the interval of ...
... 80, 77.5, 13.4, 50.5, 37.6, 58.325
Of course, the same graphing calculator can do numerical integration and give you the "exact" area (to 10 significant figures or better). The problem statement asks for this approximation, which is actually good enough for the purpose of ordering the values.
See the first attachment for results. See the other two attachments for area estimates and curve definitions (color key).
Answer:
B.
Step-by-step explanation:
21 X 2 = 42
42-7 = 35
35 + 21 = 56
19 Students
basically I learned this trick at school, you take the percent, in this case it’s 95/100 and then you write it next to the fraction of what your unit is, so x/20 students
then you multiply 95 and 20 then divide by 100.
Answer:
437+36x≥500
Step-by-step explanation:
At x miles per day, Santiago will walk 36x miles in 36 days. He wants the total of that distance and the 437 miles he's already walked to be at least 500:
36x +437 ≥ 500 . . . . . . . matches the 3rd choice