4n² - 15n + 14<span> is always the product of two numbers, for it to be prime number, one of these factors must be either 1 or -1.
Case n - 2 = 1
That would be n = 3
Then </span>4n² - 15n + 14<span> = 5 , which is prime.
Case n - 2 = -1
That would be n = 1
Then </span>4n<span>² - 15n + 14 = 3, which is also prime.
Case 4n - 7 = 1
That would be n = 2 and that makes other factor (n-2) zero so it's not prime
Case 4n-7 = -1
That would be n = 3/2 which is not integer, so </span>4n<span>² - 15n + 14 will not be interger.
For any other n values, </span>4n<span>² - 15n + 14 will be composite number since it is product of two factors.
Therefore we are left with n = 1 and n = 3; only two values of n.</span>
Answer:
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Step-by-step explanation:
Answer:
A 0.2 L water was filled into the bottle from faucet each seconds.
Step-by-step explanation:
Unit rate is defined as the rates are expressed as a quantity of 1, such as 3 feet per second or 6 miles per hour, they are called unit rates.
Given the statement: A 2 liter bottle is filled completely with water from a faucet in 10 seconds.
⇒ In 10 sec a 2L bottle is completely filled with water from a faucet.
Unit rate per second = 
Therefore, 0.2 L water was filled into the bottle each seconds.
Answer:
2.2.6
Step-by-step explanation:
Answer:
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