Answer:
1. -1/28
2. -4
3.A) The attendance increased by an average of 25 people per game from game 2 to game 5.
4. -.125
Step-by-step explanation:
To find the rate of change, we use the formula
f(x2) - f(x1)
--------------
x2-x1
1.
f(x) = -(x) ^ 1/3
f(64) = -(64) ^ 1/3 = -4
f(8) =- (8)^1/3 = -2
f(64) - f(8) -4--2 -4+2 -2 -1
-------------- = --------- = ------------- = ----------- = ------
64 - 8 56 56 56 28
2.
f(2) = 9
f(-2) = 25
f(x2) - f(x1) f(2) - f(-2) 9-25 -16 -16
-------------- =----------- = ----------------- = ---------- = ----------- = -4
x2-x1 2--2 2+2 4 4
3.
f(5) = 755
f(2) = 680
f(x2) - f(x1) f(5) - f(2) 755-680 75
-------------- = ---------- = -------------- = ---------- = 25
x2-x1 5-2 3 3
A) The attendance increased by an average of 25 people per game from game 2 to game 5.
4.
f(-1) = -.25
f(1) = -.5
f(x2) - f(x1) f(1) - f(-1) -.5 --.25 -.5+.25 -.25
-------------- = ---------- = -------------- = ---------- = --------- = -.125
x2-x1 1--1 1+1 2 2
I just did this is our math book at school, but what you do is find the GCF of the numbers. So list all there factors. 27=1x27, 3x9, and that's it. 36=1x36, 2x18, 3x12, 4x9, and that's it. So, next you see that highest numbers they both have in common, in this case it is 9. So your answer is, 9 pansies.
In the question "Which best describes the graph of the function f(x) = 4(1.5)^x?" The correct answer is "The graph passes through the point (0, 4), and for each increase of 1 in the x-values, the y-values increase by a factor of 1.5." (option B) Because when x = 0, f(0) = 4(1.5)^0 = 4(1) = 4. Thus the graph passes through (0, 4). Also for every increase of 1 in the x-values, the y-values increase by a factor of 1.5 i.e. f(0) = 4(1.5)^0 f(1) = 4(1.5)^1 f(x) = 4(1.5)^2 etc
Read more at Answer.Ya.Guru – https://answer.ya.guru/questions/3695268-which-best-describes-the-graph-of-he-function-f-x-4-15-x.html#answer4949036
The sum of an infiinte series exists when the ratio is in the interval (-1,1)
Here the ratio is 1/3, then the sum exists.
The formula for this sum is A / (1 -r); where A is the first term and r is the ratio
Then, the sum is [1/3] / [1 -1/3] = [1/3] / [2/3] = 1/2
Answer: 1/2
