Find a number that is 96 greater than its opposite
2 answers:
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Answer:
D
Step-by-step explanation:
Given
x² - 10x = - 36
Solve using the method of completing the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 5)x + 25 = - 36 + 25
(x - 5)² = - 11 ( take the square root of both sides )
x - 5 = ± ( add 5 to both sides )
x = 5 ± i
Thus
x = 5 - i or x = 5 + i
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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Answer:
Step-by-step explanation:
View the attached graph for what your image should look like.
I hope this helps or gives you a picture of what it should look like, because it's quite a long process.
Hope this helps!
