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).
More can be learned about translation concepts at brainly.com/question/4521517
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Answer: c
Step-by-step explanation:
1.2x + 3.4 = 10.6
subtract 3.4 from each side
1.2x = 7.2
divide each side by 1.2
x = 6
Answer:
There is a 54.328% probability that the next person will purchase no more than one costume.
Step-by-step explanation:
Since in a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance, and Olivia sets up a website where players can buy and sell these costumes online, and information about the number of people who visited. the website and the number of costumes purchased in a single day states that 144 visitors purchased no costume, 182 visitors purchased exactly one costume, and 9 visitors purchased more than one costume, to determine, based on these results, the probability that the next person will purchase no more than one costume as a decimal to the nearest hundredth, the following calculation must be performed:
144 + 182 + 9 = 335
335 = 100
182 = X
182 x 100/335 = X
18,200 / 335 = X
54,328 = X
Therefore, there is a 54.328% probability that the next person will purchase no more than one costume.
First, you divide the price by the amount of units in the pack. This is how you find how much one unit is worth in that pack. So for the first pack you divide 1.12 by three, and then you have .37333 repeating, which is about 38 cents. Next is the second pack, where we divide 4.38 by 12 which is .365, which is about 37 cents. The last pack is 8.68 divided by 24 which is .361, or about 36 cents. This means that the 24 pack is the best buy.
In real life you should also consider which would be too much for you or not enough. For example, you might not even need 24 units of juice. You might only need 12 so you don't have too much extra. But hey, this is just a math problem ;)
