Using translation concepts, the change of f(x) = x to g(x) = x - 90 can be described as follows:
The base graph has been shifted down 90 units.
<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 in it's definition.
In this problem, we have that g(x) = f(x) - 90, that is, the base graph was shifted down 90 units.
More can be learned about translation concepts at brainly.com/question/4521517
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The athlete's average speed was 300 meters/minute.
<h3>How to calculate the speed of the athlete?</h3>
To calculate the speed of the athlete we must perform the following operations.
Divide the distance into the total time:
Transform the value from seconds to minutes, for which we must multiply 5 by 60 because each minute is made up of 60 seconds.
- 5m/sec × 60sec = 300m/min
According to the above, the average speed of the athlete is 300m/min.
Learn more about speed in: brainly.com/question/7359669
There are 7,920 minutes in 5.5 days
60minutes in an hour
24hours in a day
60 times 24 times 5.5 = 7,920
Answer: 4x² + 3x + 52
Step-by-step explanation:
1. rearrange & simplify terms:
(4x² - 4 + 6) + (3x - 7² + 1) . . .
(4x² + 2) + (3x + 49 + 1) . . .
(4x²+2) + (3x + 50).
2. combine like terms in standard form:
<u>4x² + 3x + 52</u>