An older person is 5 years older than eight times the age of a younger person. The sum of their ages is 41. What are their ages
1 answer:
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Answer: reversed.
Step-by-step explanation:
1. By definition, when you multiply or divide both sides of an inequality by the same negative number, then the direction of the inequality symbol must be reversed.
2. To understand this better, let's write the inequality shown below:
The symbol > means "greater than".
If you multiply both sides of the inequality by -1, you obtain:
(This is false, because -4 is not greater than -2)
But, if the symbol is reversed, then:
(This is true because -4 is less than -2)
The symbol < means "less than".
Answer:
Step-by-step explanation:
Since the buoy is going up and down, its motion is oscillatory, and therefore, it can be described by a trigonometric function.
The buoy starts at height of 0 in relation to the sea level, which means at time ,
, this tells us that trigonometric function modeling the buoy must be the sine function since for
, at
,
.
The maximum displacement of the buoy in either direction is 6 feet, this means we have
now we need to figure out .
The time it takes the buoy to get from its lowest point to its highest point is 4 seconds, that means the period of oscillation is
seconds. The buoy returns to to the same place after one period, this means if the buoy started from 0, it will return to 0 after 8 seconds; therefore, from
the we have:
Now the final equation looks like