angelinasime16 angelinasime16
  • 23-10-2020
  • Mathematics
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What is the zero of f(x) = 8/3x-16

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Susurrus
Susurrus Susurrus
  • 23-10-2020

Answer:

x = 6

Step-by-step explanation:

Finding the zero of a function is given by solving it by setting [tex]f(x) = 0[/tex].

In this case we do that and get:

[tex]f(x) = 0 = \frac{8}{3}x - 16[/tex]

[tex]0 + 16 = \frac{8}{3}x - 16 + 16[/tex]

[tex]3 * 16 = \frac{8}{3}x * 3[/tex]

[tex]48 = 8x[/tex]

[tex]\frac{48}{8}=\frac{8x}{8}[/tex]

[tex]x = 6[/tex]

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