The domain of the function is [-4,∞).
Domain is the set of all the possible inputs for which the function is defined.
The given function is:
y = √x+4
It is a radical function. The function is defined if the expression inside the radical greater than or equal to zero.
x+4≥0
Subtract 4 from both the sides.
x+4-4 ≥ 0-4
x ≥ 4
The domain of the function is:
Domain = {xIx ≥ -4} = [-4,∞)
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If you need to solve for y
10y-12=4
10y=12+4
10y=16
y=16/10=8/5=1 3/5 or 1.6
Answer: 1/3
Step-by-step explanation:
Here is the complete question:
machine is set to pump cleanser into a process at the rate of 9 gallons per minute. Upon inspection, it is learned that the machine actually pumps cleanser at a rate described by the uniform distribution over the interval 8.5 to 11.5 gallons per minute. Find the probability that between 9.0 gallons and 10.0 gallons are pumped during a randomly selected minute.
The Probability of the above question will be calculated as:
= (10-9) / (11.5 - 8.5)
= 1/3
The above is the easier way to solve this
If I did the math right the answer should be 1,750
