This is because simplifying the equation before solving it will lead you to the answer at a much faster rate. For example, in the given equation, the long way would be to distribute 2 to (x+3). Then, you transpose them and combine like terms. Until you get to x + 3 = 8. But if you simplify it first, you will see that it is straightforward. It will lead you to the answer right away which is x + 3 = 8. It saves you from the hassle of doing more algebra :)
Answer:
A, C, D, E
Step-by-step explanation:
According to the rational root theorem, any rational roots will be of the form ...
±(divisor of the constant)/(divisor of the leading coefficient)
The constant is 8, and its divisors are 1, 2, 4, 8.
The leading coefficient is 6, and its divisors are 1, 2, 3, 6.
So, no rational root will have 3 in the numerator, eliminating choices B and F. The remaining choices are possible rational roots:
Answer:
y = 8.13 x -16125.713
hope it helps
Step-by-step explanation:
Sum of X = 14004
Sum of Y = 977
Mean X = 2000.5714
Mean Y = 139.5714
Sum of squares (SSX) = 53.7143
Sum of products (SP) = 436.7143
Regression Equation = ŷ = bX + a
b = SP/SSX = 436.71/53.71 = 8.13032
a = MY - bMX = 139.57 - (8.13*2000.57) = -16125.71277
ŷ = 8.13032X - 16125.71277
Is there like a question???
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.
