Help 10 points geometry
1 answer:
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Answer:
b)-1/2 is the required answer
Step-by-step explanation:
The <em>first three</em> elements of the <em>recursive</em> series are 6, 10, 8. (Correct choice: B)
<h3>How to generate values from a recursive function</h3>
In this question we have a kind of <em>recursive</em> function known as Fibonacci's function, where a value of the series is generated from at least <em>immediately previous</em> elements. In this case, we need to find the <em>first</em> three elements from the <em>fifth</em> and <em>fourth</em> elements of the series:
a₄ = a₅ - a₆ + 4
a₄ = - 2 - 0 + 4
a₄ = 2
a₃ = a₄ - a₅ + 4
a₃ = 2 - (- 2) + 4
a₃ = 8
a₂ = a₃ - a₄ + 4
a₂ = 8 - 2 + 4
a₂ = 10
a₁ = a₂ - a₃ + 4
a₁ = 10 - 8 + 4
a₁ = 6
The <em>first three</em> elements of the <em>recursive</em> series are 6, 10, 8. (Correct choice: B)
To learn more on recursive series: brainly.com/question/8972906
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Part A:
Given that
Thus, x = ky where k = 2.
Therefore, the given equation is a direct variation.
Part B:
If y varies directly as x, then y = kx.
Given that y = 5 when x = 2, then
When x = 12, y = 2.5(12) = 30.
Part C:
If y varies directly as x, then y = kx.
Given that y = 9 when x = -6, then
It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is
Part 4:
If y varies directly as x, then y = kx.
Given that y = 1 when x = -2, then
It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.
Given that
Thus, x = ky where k = 2.
Therefore, the given equation is a direct variation.
Part B:
If y varies directly as x, then y = kx.
Given that y = 5 when x = 2, then
When x = 12, y = 2.5(12) = 30.
Part C:
If y varies directly as x, then y = kx.
Given that y = 9 when x = -6, then
It can be seen that the equation above satisfies all the rows of the given table, therefore, y varies with x for the data in the question and the equation for the direct variation is
Part 4:
If y varies directly as x, then y = kx.
Given that y = 1 when x = -2, then
It can be seen that the equation above does not satisfies the other rows of the given table, therefore, y does not vary with x for the data in the question.