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rodikova [14]
3 years ago
9

hich function has a range of {y|y ≤ 5}? f(x) = (x – 4)2 + 5 f(x) = –(x – 4)2 + 5 f(x) = (x – 5)2 + 4 f(x) = –(x – 5)2 + 4

Mathematics
1 answer:
Brums [2.3K]3 years ago
6 0

Answer:

f(x)=-(x-4)^2+5

Step-by-step explanation:

The function f(x)=-(x-4)^2+5 has  the vertex at (4,5).


Since a=-1\:, the graph of the function is a maximum graph.


The highest y-value is the y-coordinate of the vertex which is 5.


Therefore the range is {y|y\le 5}


Therefore the correct answer is B.


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Answer:

∴ The value is 12 units

Step-by-step explanation:

From Geometric Mean Theorem we know that,

In a right triangle, the altitude from the right angle to the hypotenuse divides the hypotenuse into two segments.

The length of the altitude is the geometric mean of the lengths of the two segments.

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Step-by-step explanation:

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Answer:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

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And the 96% confidence is given by (110.06; 117.34)

Step-by-step explanation:

Information given

\bar X=113.7 represent the sample mean

\mu population mean (variable of interest)

s=9.1 represent the sample standard deviation

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Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

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Replacing the info we got:

113.7-2.154\frac{9.1}{\sqrt{29}}=110.06    

113.7+2.154\frac{9.1}{\sqrt{29}}=117.34    

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