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larisa86 [58]
3 years ago
7

What is 13.5/10 simplified

Mathematics
2 answers:
andrezito [222]3 years ago
4 0

Answer:

27/20

Step-by-step explanation:

\frac{13.5}{10} = \frac{13.5 * 2}{10 * 2} = \frac{27}{20}

mash [69]3 years ago
3 0
13.5/20 simplified is 27/20
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Four friends split the cost of a pizza and salad. The pizza costs $20 and the salad costs $6. Which expression can you use to fi
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nadezda [96]

The correct answer is actually the last one.

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This already shows why the first option is wrong - if the function was concave downwards for all x, then the second derivate would have been negative for all x, which isn't the case, because we have, for example, f''(8)=5

Also, the second derivative gives no information about specific points of the function. Suppose, in fact, that f(x) passes through the origin, so f(0)=0. Now translate the function upwards, for example. we have that f(x)+k doesn't pass through the origin, but the second derivative is always f''(x). So, the second option is wrong as well.

Now, about the last two. The answer you chose would be correct if the exercise was about the first derivative f'(x). In fact, the first derivative gives information about the increasing or decreasing behaviour of the function - positive and negative derivative, respectively. So, if the first derivative is negative before a certain point and positive after that point. It means that the function is decreasing before that point, and increasing after. So, that point is a relative minimum.

But in this exercise we're dealing with second derivative, so we don't have information about the increasing/decreasing behaviour. Instead, we know that the second derivative is negative before zero - which means that the function is concave downwards before zero - and positive after zero - which means that the function is concave upwards after zero.

A point where the function changes its concavity is called a point of inflection, which is the correct answer.

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3 years ago
Convert 7-11 to a percent. round to the nearest hundredth
n200080 [17]
7/11 is 0.006 percent.
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