The table shows the annual increase in cost in t years for certain grocery items. Based on the formula A = C(1 + r)t, which equa
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The system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.
<h3>What is a linear equation?</h3>It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
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We have three linear equations in three variables:
x - y - z = 0 ..(1)
2x - y + 2z = 1 ..(2)
x - y + z = -2 ..(3)
From the equation (1):
Plug this value in the equation (2) and (3):
After solving we get:
z = -1
y = 5
Plug the above two values in equation (1) we get:
x = 4
Thus, the system of equations is consistent and independent and the solutions are x = 4, y = 5, and z = -1 option third is correct.
Learn more about the linear equation here:
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Answer:
<u>Step-by-step explanation:</u>
Term-to-term rule is also called the recursive rule.
The recursive rule for a geometric sequence is: where
- r is the common ratio
The common ratio (r) is the second term divided by the first term <em>(which is the same ratio for each term divided by its previous term) </em>
In the given sequence {64, 32, 16, 8, 4},
So, the recursive rule is: