Please help me out with my work
1 answer:
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Answer:
The domain is all real numbers less than or equal to two-third
Step-by-step explanation:
<u><em>The question in English is</em></u>
Determine the domain of the function f :D→R,
we know that
The radicand of the function must be greater than or equal to zero
so
Solve the inequality for x
subtract 2 both sides
Multiply by -1 both sides
Divide by 3 both sides
The solution is the interval ----> (-∞,2/3]
therefore
The domain is all real numbers less than or equal to two-third
The answer is 5.23 ft/second
The way I got this answer was first finding the circumference of the merry-go-round using the equation
, where r represents the radius, which is the distance from the center of a circle.
So your equation should look like this
. I used the rounded term of 3.14 for 
Once you multiply those terms, you should get the answer, 31.4. Now this is the total distance around the merry-go-round in feet. So, if it takes 6 seconds to make a full rotation and we are trying to find the amount offeet traveled in one second, we should divide the circumference (31.4) by 6 to give us our answer.
So, 31.4÷6=5.2333...ft/second
And I rounded the answer to the nearest hundredth to get 5.23 feet/second
The way I got this answer was first finding the circumference of the merry-go-round using the equation
So your equation should look like this
Once you multiply those terms, you should get the answer, 31.4. Now this is the total distance around the merry-go-round in feet. So, if it takes 6 seconds to make a full rotation and we are trying to find the amount offeet traveled in one second, we should divide the circumference (31.4) by 6 to give us our answer.
So, 31.4÷6=5.2333...ft/second
And I rounded the answer to the nearest hundredth to get 5.23 feet/second