Given the values of the linear functions f (x) and g(x) in the tables, where is (f – g)(x) positive?
1 answer:
From the tables, and definitions of functions, it is found that the function (f - g)(x) is positive in the interval (–∞, –2).
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- The function (f - g)(x) is given by:
- Thus, it will be positive if:
- Looking at the table, and considering that it is a linear function, we have that f(x) > g(x) if x < -2.
- Thus, (f - g)(x) is positive in the interval (–∞, –2).
A similar problem is given at brainly.com/question/24388889
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Answer:
Step-by-step explanation:
We require 2 equations with the repeating digits (63) placed after the decimal point.
let x = 0.636363..... (1) multiply both sides by 100
100x = 63.6363... (2)
Subtract (1) from (2) thus eliminating the repeating digits
99x = 63 ( divide both sides by 99 )
x = =
← in simplest form
Answer:
The sum of the first 37 terms of the arithmetic sequence is 2997.
Step-by-step explanation:
Arithmetic sequence concepts:
The general rule of an arithmetic sequence is the following:
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
The sum of the first n terms of an arithmetic sequence is given by:
In this question:
We want the sum of the first 37 terms, so we have to find
Then
The sum of the first 37 terms of the arithmetic sequence is 2997.