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2 years ago

A student said that the relation{(-2,3),(4,4),(4,5),(5, -8)} is a function. Do you agree? Why or why not?

Mathematics

1 answer:

JulijaS [17]2 years ago

5 0

Answer:

Step-by-step explanation:

Disagree. (4, 4) and (4, 5) show that for a single input, 4, there are two distinct outputs (4 and 5). In a function no more than 1 output can be associated with a given input.

The given relation is not a function.

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3 years ago

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2 years ago

The length of a rectangle picture frame is 2 centimeters more than twice it’s width. If the area of the frame is 364 square cent

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Answer:

Length:28 cm

Width: 13 cm

Step-by-step explanation:

Let

x ---> the length of a rectangle picture frame

y ---> the width of a rectangle picture frame

we know that

The area of a rectangle picture frame is equal to

$A=xy$

we have

$A=364\ cm^2$

$364=xy$ ----> equation A

The length of a rectangle picture frame is 2 centimeters more than twice it’s width

$x=2y+2$ ---> equation B

Solve the system by graphing

Remember that the solution is the intersection point both graphs

The solution is the point (28,13)

see the attached figure

therefore

Length:28 cm

Width: 13 cm

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