The system of equations to solve for the unknowns is , and
<h3>How to determine the system of equations?</h3>
The given parameters are:
Start by opening the brackets
This gives
Next, collect the like terms
Next, compare both sides of the equation.
This gives
Lastly, cancel out the variable x
Hence, the system of equations to solve for the unknowns is , and
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Answer:
40/3
Step-by-step explanation:
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Answer:
In the year 2010, the population of the city was 175,000
Step-by-step explanation:
If we rewrote this as a linear expression in standard form (it is linear, btw), it would look like this:
The rate of change, the slope of this line, is 11/2. If the year 2010 is our time zero (in other words, we start the clock at that year), then 0 time has gone by in the year 2010. In the year 2011, t = 1 (one year goes by from 2010 to 2011); in the year 2012, t = 2 (two years have gone by from 2010 to 2012), etc. If we plug in a 0 for t we get that y = 175,000. That is our y-intercept, which also serves to give us the starting amount of something time-related when NO time has gone by.
Answer:
The average rate of change of the function in this interval is of 18.
Step-by-step explanation:
The average rate of change of a function in an interval from a to b is given by:
In this question:
Where x goes from 5 to 7.
This means that . So
The rate of change is:
The average rate of change of the function in this interval is of 18.
It would take 471 weeks. First, square the radius. Then divide the height by three. Multiply the square radius and the answer you got after dividing h by 3. Then multiply that answer by 3.14. Usually, you're done, but for this problem take the extra step and divide it by 12,000.