Nehemiah wants to create a function to represent the change in his income over the past few months. Nehemiah estimates that the
best fit linear function for the change in his income is y=2310+220x, where y is his monthly income and x is the number of months.
The predicted value of Nehemiah's income in month 6 is (3540/3630/3760/3850) $________. If the actual value of Nehemiah's income was $3750 in month 6, the residual value for month 6 would be (210/120/-15/-100/-120)
The predicted value of Nehemiah's income in month 6 is (3540/3630/3760/3850) $________. If the actual value of Nehemiah's income was $3750 in month 6, the residual value for month 6 would be (210/120/-15/-100/-120)
1 answer:
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We know that
For this case we propose a system of equations:
x: Let the variable representing the age of the first child of the Smiths
y: Let the variable representing the age of the second child of the Smiths
According to the data of the statement we have to:
From the first equation we have to:
We substitute in the second equation:
We find the solutions by factoring:
We look for two numbers that, when multiplied, result in 132 and when added, result in 23. These numbers are 11 and 12.
Thus, we have that the factorized equation is:
Thus, the solutions are:
So, we can take any of the solutions:
With
Then
Therefore, the ages of the children are 11 and 12 respectively.
Answer:
The ages of the children are 11 and 12 respectively.