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Marianna [84]
3 years ago
9

point C(4,2) divides the line segment joining points A(2,-1) and B(x,y), such that AC:CB=3.1. what are the coordinates of point

B?
Mathematics
1 answer:
White raven [17]3 years ago
6 0

Answer: B(x,y)=B(\frac{14}{3},3)

Step-by-step explanation:

\frac{4-2}{3} =x-4\\2=3x-12\\14=3x\\\frac{14}{3}=x\\\\\frac{2-(-1)}{3}=y-2\\3=3y-6\\9=3y\\3=y

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Using interval notation, the domain off is [- 3, 5] and the domain of g is [- 2, 7] . On what domain is f defined
Scorpion4ik [409]

Note: I am assuming you mean ''on what domain is f+g is defined''.

Answer:

We conclude that

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Step-by-step explanation:

Given the domain of f

[-3, 5]

Given the domain of g

[-2, 7]

  • The domain of a composition f+g would include the intersection of both domains.

In other words, the domain of a composition f+g includes all the inputs of x-values that are in the domain of both functions i.e. f and g.

so

Domain of f = [-3, 5]

The x-values lie in the domain of f interval are:

x = -3, -2, 1, 0, 1, 2, 3, 4, 5

Domain of g = [-2, 7]

The x-values lie in the domain of g interval are:

x = -2, 1, 0, 1, 2, 3, 4, 5, 6, 7

Therefore, the common x-values in both f and g would be:

-2, 1, 0, 1, 2, 3, 4, 5

Thus, we conclude that

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