The equation of the quadratic function in standard form as required in the task content is; f(x) = -x² + 12x - 43.
<h3>Standard form equation of a quadratic function.</h3>
It follows from the task content that the standard form equation of the quadratic function is to.be determined.
Since the standard form equation can be derived from the vertex form equation as follows;
f(x) = a (x - h)² + k
f(x) = a (x - 6)² - 7
Hence, to find the value of a, Substitute x = 8 and f(x) = -11 so that we have;
-11 = a (8 - 6)² - 7
-11 = 4a - 7
4a = -4
a = -1.
Hence, the equation in vertex form is; f(x) = -1 (x -6)² - 7 and when expressed in standard form we have;
f(x) = -1(x² - 12x + 36) - 7
f(x) = -x² + 12x - 43
Therefore, the required equation in standard form is; f(x) = -x² + 12x - 43.
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Answer:
32
Step-by-step explanation:
To answer this question, you have to divide 2,176 by 68.
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Answer:
2
Step-by-step explanation:
Answer: 1) If we talk about whole numbers then we should choose only square numbers that could be the area of square so that if we want to find its side so we a can find its square root i.e. side.
2) We can find the square root of the area of the given square to find the side length of the square.
3) No , it is not possible to find a side length that would be perfect for a square with an area of 45 square units because if we find its side we need to find its square root i.e.
................>which is irrational and √5=2.236
∴side=3×2.236=6.708 unit ......> which is not accurate we need to take approx value of it to get the side length of the square.