Which of the following table represents a function? Please help! Will make brainliest

Mathematics

1 answer:

OlgaM077 [116]2 years ago

5 0

Answer:

Last one at the bottom

Step-by-step explanation:

Recall that for a function to be valid, each input (x-value) must give exactly one unique output (y-value). If we find that any x-value gives more than one y-value, then it is not a function.

Option 1: x = 3 gives y = 2 and y = -2 (not a function)

Option 2: x = 5 gives y = 2 and y = 8 (not a function)

Option 3: x = 3 gives y = 4 and y = 5 (not a function)

Option 4: each x-value gives only one possible y-value (this is a function)

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Factoring trinomials

Tcecarenko [31]

$c^2$ $2c^2 + 13c +21 \\4c^2 + 13(2)c + 42\\(2c + 6)(2c+7)\\(c+3)(2c+7)$

This is a way to factoring trinomials (there exist different equivalent methods).

Multiply the trinomial but the term accompanying $c^2$ . This is the second line. Then, you could take the square of the $4c^2$ , ant try to create a factor () () that will correspond to the expression in the second line. That is, we want $4c^2 + 13(2) c + 42 = (2c + ?) (2c + ?)$

In ? we put the corresponding numbers that, if we multiply them we will obtain 42, and if we add them we will obtain 13. This numbers are 6 and 7. Then, we have $(2c + 6) (2c +7)$