What is the factorization of 3x2 – 8x + 5?
1 answer:
Answer:
Step-by-step explanation:
Factorize means convert and expression into multiple factors.
You have to find to factor that multiplied equals the original equation. Firts of all you split the expression of square X into 3X an X, so you guarantee that when you multiply 3X by X, the result is 3X^2.
After doing that, you need to think in numbers that equals the middle term (8X) and the constant (5).
-1 and -5 guarantee you that the multiplication of them results into +5, so you start with those numbers. Then you have to find where to put them in order to find the -8X.
-5 x X = -5X
-1 x 3X = -3X
And adding those two expresion you find the -8X that you need!
Please try to solve it multiplying term by term and check the final equation.
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Answer:
30.06 degree Celsius at 4:00 PM.
Step-by-step explanation:
We have been given that on a hot Saturday morning while people are working inside, the air conditioner keeps the temperature inside the building at 24 degrees C. At noon the air conditioner is turned off, and the people go home. The temperature outside is a constant 35 degrees C for the rest of the afternoon. The time constant for the building is 5 hr. We are asked to find the temperature inside the building at 4:00 PM.
We will use Newton's law of cooling to solve our given problem.
, where
= Temperature after t hours.
= Temperature of surrounding environment,
= Time constant.
Upon substituting our given values in Newton's cooling law, we will get:
To find the temperature at 4:00 pm, we will substitute in our formula as:
Therefore, the temperature inside building would be approximately 30.06 degree Celsius at 4:00 PM.