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3 years ago

15. The floor plan of the basement of a shopping centre is drawn to a scale of 1:400.

Mathematics

1 answer:

maks197457 [2]3 years ago

6 0

Answer:

4 hectares

Step-by-step explanation:

The scale factor is:

k = 1/400

Applied to the area we consider k² as the area is the product of two dimensions.

Find the actual area:

0.25 m² : (1/400)² =
0.25 m² * 160000 =
40000 m² =
40000 * 1/10000 hectares =
4 hectares

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What is the shape of the graph of the function? g(x)= 3/2 (2/3) ^x

Andrew [12]

Answer:

Please check the attached graph.

From the graph, it is clear that option B is the correct option.

Step-by-step explanation:

Given the function

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Determining the y-intercept

We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in the fuction

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^x$

$y=\:\frac{3}{2}\:\left(\frac{2}{3}\right)^0$

Apply rule: $a^0=1,\:a\ne \:0$

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Determining the x-intercept

We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

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Using the zero factor principle

if ab=0, then a=0 or b=0 (or both a=0 and b=0)

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Thus, NONE represents the x-intercept.

Please check the attached graph.

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