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What is the output value of the function when the input value is 6?

[tex]\[ y = -6x + 19 \][/tex]
[tex]\[ x = 6 \][/tex]


Sagot :

To find the output value of the function [tex]\( y = -6x + 19 \)[/tex] when the input value [tex]\( x \)[/tex] is 6, we can follow a series of steps:

1. Identify the given function and the input value:
- The function is [tex]\( y = -6x + 19 \)[/tex].
- The input value for [tex]\( x \)[/tex] is 6.

2. Substitute the input value into the function:
- Substitute [tex]\( x = 6 \)[/tex] into the equation [tex]\( y = -6x + 19 \)[/tex].

3. Perform the arithmetic operations:
- Calculate the product of [tex]\(-6x\)[/tex] where [tex]\( x = 6 \)[/tex]:
[tex]\[ -6 \times 6 = -36 \][/tex]
- Next, add 19 to the result obtained:
[tex]\[ -36 + 19 = -17 \][/tex]

Therefore, the output value of the function [tex]\( y \)[/tex] when [tex]\( x = 6 \)[/tex] is [tex]\(\boxed{-17}\)[/tex].
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