Answer:
f(1) = 2
f(n) = 2 × f(n - 1) , n ≥ 2
Step-by-step explanation:
the point of coordinates (1 , 2) is on the graph
Then
f(1) = 2
…………………………
We notice that :
f(2) = 4
f(3) = 8
f(4) = 16
16/8 = 8/4 = 4/2 = 2/1 = 2
________________________
This means the common ratio
of the geo sequence = 2
Hence ,
f(n) = 2 × f(n - 1)
I assume you happen to mean, what is the formula for a circle.
The formula is:
A=
The function g(x) is a translation to the right of 3 units and up 2 units of f(x), so the correct option is B.
<h3>Which statement is true regarding the vertical and horizontal translations from f(x) to g(x)?</h3>
For a given function f(x), we can write a vertical translation of n units as:
g(x) = f(x) + n
- If n < 0, the translation is downwards.
- if n > 0, the translation is upwards.
And a horizontal translation of n units as:
g(x) = f(x + n).
- if n > 0, the translation is to the left.
- if n < 0, the translation is to the right.
Here we have:
f(x) = (2/3)*x
g(x) = (2/3)*(x - 3) + 2
By comparing it with the general translations, we conclude that we have a traslation of 3 units to the right and 2 units up.
So the correct option is B.
If you want to learn more about translations:
brainly.com/question/24850937
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Answer:
Option C) The data are discrete because the data can take on specific value.
Step-by-step explanation:
We are given the following in the question:
The numbers of languages spoken by different people.
The data would include points like English, Hindi, Marathi, and many more.
Thus, the data is discrete because the number of languages will always be expressed in whole numbers and thus it cannot take any value within an interval.
The value is calculated and not measured.
Thus, the correct answer is
Option C) The data are discrete because the data can take on specific value.
Answer:
Step-by-step explanation:
2340 miles
Given
1 inch represents 10 miles
thus,
1 inch on map = 10 miles in real
given the two cities are 234 inches apart on map
1 inch on map = 10 miles in real
multiplying both side by 234
1 inch*234 on map = 10 miles*234 in real
234 inch on map = 2340 miles in real.
Thus, two cities are 2340 miles apart.