F(x) = -x^3+ 6x – 7 at x = 2
1 answer:
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Answer:
Scale Factor (small to large) is 2.8
Step-by-step explanation:
The scale factor is "how many times" it is larger.
If we have an actual quantity be "a" and the enlarged quantity be "b" and we let the scale factor be "k", we can write the equation shown below:
So, we basically mean "what number" (scale factor) should be multiply with the actual value (smaller one) to get the enlarged value (bigger one). From the problem, we can write:
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Now we find "k", the scale factor:
Hence, the scale factor is 2.8
The solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
<h3>What is a quadratic equation?</h3>Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
We have a quadratic equation:
x² + 2x - 2 = 0
x² + 2x + 1 - 1 - 2 = 0
(x + 1)² - 3 = 0
(x + 1)² = 3
x + 1 = ± √3
x = -1 ± √3
Thus, the solution to the quadratic equation by completing the square is x = -1 + √3, x = -1 - √3
Learn more about quadratic equations here:
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