Using translation concepts, the correct option is given as follows:
The graph of f(x) is shifted to the right to create g(x).
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, the functions are given as follows:
That is, g(x) = f(x - 31), hence the function was shifted <u>31 units to the right</u> and the correct option is given by:
The graph of f(x) is shifted to the right to create g(x).
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Answer:
8 hours
Step-by-step explanation:
You can solve this problem by inputting the values into an equation. Here is the equation below:
Lets solve for x. First you subtract 50 from 130.
1) 
2) 
Next, you divide 80 by 8 to get x by itself.
1) 
2) 
This means that you must mow lawns for 8 more hours to get a total of $130 in your bank account.
Answer:
x=34
Step-by-step explanation:
90-22=68
68÷2=34
Two conditions under which we can assume that the sample means follow a normal distribution are as follows:
1). If the sample size is large enough, n greater than or equals 30, the sampling distribution is approximately normal regardless of the shape of the population.
2). In order to be considered a normal distribution, a data set (when graphed) must follow a bell-shaped symmetrical curve centered around the mean.
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