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kifflom [539]
3 years ago
7

Please help me with this question!! Thank you so much, it should be quick. I need to know what goes in the blank space above.

Mathematics
2 answers:
katovenus [111]3 years ago
4 0
Ratio works for the blank space. Since scale factor and ratio are synonyms. They both refer to the rate of change of something. 
Ipatiy [6.2K]3 years ago
3 0
If two objects have the same shape, they are called "similar." When two figures are similar, the ratios of the lengths of their corresponding sides are equal so the word would be ratio
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F is a twice differentiable function that is defined for all reals. The value of f "(x) is given for several values of x in the
nadezda [96]

The correct answer is actually the last one.

The second derivative f''(x) gives us information about the concavity of a function: if f''(x) then the function is concave downwards in that point, whereas if f''(x)>0 then the function is concave upwards in that point.

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.

7 0
3 years ago
Morgan writes the expression
DerKrebs [107]
He didn’t follow PEMDAS which is the an acronym for the order of operations. according to pemdas the first step is parenthesis (which is the p in pemdas) there fore the first step is to add the 1 and the 2
then since there are no exponents you multiply so you multiple 5(3) which is 15
then you can add all the number left to right
so 15+2+3= 20
so the answer is 20
hope this helped
let me know if you have any questions
5 0
3 years ago
Evita paid 2,408.91 in interest what was the selling price of the car
cupoosta [38]

Answer:

19,000.00

Step-by-step explanation:

5 0
3 years ago
Please could someone help me
jasenka [17]

Answer:

You have to multiply the number of miles by the amount of money per mile to figure out the cost of his journey.

6 0
2 years ago
Read 2 more answers
Hiroto spends \$68 on e-books and paperback books combined. Each e-book he buys costs $5 and each paperback book he buys costs $
alina1380 [7]

The equation that can be used to model the situation regarding the e-books and paperback is 5x + 12y = 68

The following information can be gotten from the question:

Total amount spent on e-books and paperback = $68

<em>Cost</em><em> of e-book = $5 each.</em>

<em>Cost of paperback = $12 each</em>

<em>Number of</em><em> e-books</em><em> = x</em>

<em>Number of paperbacks = y</em>

Therefore, the equation that can be used to model the situation regarding the <em>e-books </em>and <em>paperback</em> will be:

= 5(x) + 12(y) = 68

5x + 12y = 68

The equation will be 5x + 12y = 68

Read related link on:

brainly.com/question/25212173

5 0
2 years ago
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