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steposvetlana [31]
3 years ago
8

At what value of x does the minimum or maximum occur for the function below? f(x) = 8(x + 8)2 + 9 A. maximum at x = 9 B. minimum

at x = 9 C. maximum at x = -8 D. minimum at x = -8
Mathematics
1 answer:
WINSTONCH [101]3 years ago
3 0

8 {(x + 8)}^{2}  + 9 \geqslant 9 \: ( {(x + 8)}^{2}  \geqslant 0) \\ \Leftrightarrow x + 8 = 0\Leftrightarrow x =  - 8 \\ \Rightarrow D.\: Minimum\: at\: x=-8

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Answer:

The scores that are less than or equal to 10.8 are considered significantly low.

The scores that are greater than or equal to 32.4 are considered significantly high.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 21.6

Standard Deviation, σ = 5.4

We are given that the distribution of score is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

Significantly low score:

z \leq -2\\z = \displaystyle\frac{x-21.6}{5.4} \leq -2\\\\\displaystyle\frac{x-21.6}{5.4} \leq -2\\\\x\leq -2(5.4) + 21.6\\\Rightarrow x \leq 10.8

Thus, scores that are less than or equal to 10.8 are considered significantly low.

Significantly high score:

z \geq 2\\z = \displaystyle\frac{x-21.6}{5.4} \geq 2\\\\\displaystyle\frac{x-21.6}{5.4} \geq 2\\\\x\geq 2(5.4) + 21.6\\\Rightarrow x \geq 32.4

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Answer:

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Step-by-step explanation:

We can solve the problem in this way:

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A=-10\\B=-8\\C=-6\\D=-4

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