Answer:
r = 8
Step-by-step explanation:
6r = 95-47
6r = 48
r = 48/6
r = 8
The U.S wanted to be isolationists
it did not enter the war untill the japanese bombed Pearl Harbor
Answer:
63/4
Step-by-step explanation:
i think
Answer:
mid point (x,y) = M (18, 24)
let J (- 4, - 2) be ( x1, y1)
L(a,b) be (x2,y2)
using midpoint formula
(x,y) = [(x1+x2)/2, (y1 + y2)/2]
or, (18, 24) = [(-4+a)/2, (-2+b)/2]
comparing corresponding element we get
18 = (-4+a)/2 24 =(-2+b)/2
or 36 = -4+ a or 48 = -2 +b
or a = 40 or b= 50
L(40,50)
Part A:
To find the average rate of change, let us first write out the equation to find it.
Δy/Δx = average rate of change.
Finding average rate of change for Section A
Δy = f(1) - f(0) = 2(3)^1 - 2(3)^0 = 6 - 1 = 5
Δx = 1- 0 = 1
Plug the numbers in: Δy/Δx = 5/1 = 5
Therefore, the average rate of change for Section A is 5.
Finding average rate of change for Section B
Δy = f(3) - f(2) = 2(3)^3 - 2(3)^2 = 2(27) - 2(9) = 54 - 18 = 36
Δx = 3 - 2 = 1
Plug the numbers in: Δy/Δx = 36/1 = 36
Therefore, the average rate of change for Section B is 36.
Part B:
(a) How many times greater is the average rate of change of Section B than Section A?
If Section B is on the interval [2,3] and Section A is on the interval [0,1].
For the function f(x) = 2(3)^x, the average rate of change of Section B is 7.2 times greater than the average rate of change of Section A.
(b) Explain why one rate of change is greater than the other.
Since f(x) = 2(3)^x is an exponential function the y values do not increase linearly, instead increase exponentially. In an interval with smaller x values the rate of change is lower than an interval with larger x values.
