The average rate of change of on the interval [a,b] is:
f(b)−f(a)/ b-a
or
y1-y2/x1-x2 which is how I learned it, average ratw of change is just slope
so you would plug your numbers into x
1st the b: 6((1))^2+31((1))-12
=6+31-12 1^2=1, so it cancels
f(b) =25
2nd the a: 6((-2))^2+31((-2))-12
=6(4)+31(-2)-12
=24+-62-12
f(a) =-50
3rd plug them in: (25- -50)÷(1-(-2)
=75÷3
=25
so your average rate of change(or slope) is 25 :)
Answer:
D
Step-by-step explanation:
27÷3=9
The correct answer is A. The 200 randomly selected students
Explanation:
In most studies, the complete population is not surveyed or studied instead, a specific number of individuals are selected, this group is known as the sample. Additionally, the sample represents the population, and due to this, their answers are used to make inferences about all the population.
According to this, the population is all the students in the school, while the sample is the 200 randomly selected students because this is the group that is going to be studied to make conclusions and inferences about all the population.
The points where the 2 graphs intersect is where x = 0 and x = 2.
- 2 2
x = INT x dA / INT dA
0 0
INT dA = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx = INT -2x^2 + 4x
= -2 x^3/3 + 2x^2
= 2.667 between 0 and 2
xdA = -2x^3 + 4x^2 INT xdA = -x^4/2 + 4x^3/3 = 2.667
centroid = 2.667 / 2.667 = 1 (x = 1)
Answer:
-39,063
Step-by-step explanation:
In this geometric, sequence, you are multiplying by -5. So, we can continue the sequence by mulitplying 375(your last value) by -5 and so on, until we have 7 total terms.
Now we add the terms together:
-3+15+-75+375+-1875+9375+-46875
=-3+15-75+375-1875+9375-46875
=-39063
Hope this helps :)
