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Flauer [41]
3 years ago
14

Which statement about the points (5,7) and (10,12) is true?

Mathematics
2 answers:
ollegr [7]3 years ago
6 0

Answer:the line they are on does not show direct variation

Step-by-step explanation:

Keith_Richards [23]3 years ago
5 0

Answer: The answer is (B) They show direct variation because y=x+2 and 10-5=12-7.

Step-by-step explanation:  We are given two points (5 7) and (10, 12) and we are to select the correct statement about the two given points.

Since we have

7 = 5 + 2  and  12 = 10 + 2, so we can directly say that the equation of the line passing through the two points will be

y = x + 2.

Since we can directly find the relation between x and y, so we can say that they show direct variation because y=x+2 and 10-5=12-7.

Thus, the correct option is (B).

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Suppose the invertible function φ(x) has the domain (−5,11) and the range (−12,1).
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Answer:

Range of \phi^{-1} is (−5,11).

Step-by-step explanation:

Given the invertible function Ф(x) which has the domain (−5,11) and the range (−12,1).

Invertible function is the function that inverses another function i.e if y=Ф(x) then x=g(y) where g is called the inverse of Ф and denoted by\phi^{-1}

Given Ф(x) the function whose domain is (−5,11) and range is (−12,1). Therefore, by definition of invertible function there exist a function g with domain (−12,1) and range (−5,11) which is called the inverse function denoted by \phi^{-1}

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