Complete the factorization of 3x^2 – 10x + 8. 3x^2 – 10x + 8 = (x – ___ )( ___ x – 4)
2 answers:
Answer: The complete factorization of the given expression is
Step-by-step explanation: We are given to complete the factorization of the following quadratic expression :
To factorize the given expression, we need two integers with sum -10 and product 34. Those two integers are -6 and -4.
The factorization of expression (i) is as follows :
Thus, the complete factorization of the given expression is
You might be interested in
Answer:
bacteria
Step-by-step explanation:
The generic form of an exponential function is: , where a is the initial amount, r is the rate, and n is the time.
In this case, the initial amount is 1000, so a = 1000. Also, the rate is 2 because the culture doubles in size every 5 minutes. However, our n is not just n; it's actually n/5 because the rate is doubling per 5 minutes, not per 1 minute. If it was per 1 minute, then the time would simply be n. Unfortunately, that's not the case here, so the exponent of r should be n/5, where n is the number of minutes that have passed.
Now, we have:
Since n is the number of minutes, we need to convert 2 hours to minutes:
2 hours * 60 min/hour = 120 minutes.
Thus, the answer is bacteria.
Hope this helps!