bheam12 bheam12
  • 18-12-2019
  • Mathematics
contestada

A function g is defined by g(x)=50−2x. If x increases by 7, by how much does g(x) decrease?

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frika
frika frika
  • 25-12-2019

Answer:

14

Step-by-step explanation:

A function g is defined by [tex]g(x)=50-2x.[/tex]

If x increases by 7, then x becomes x + 7.

Substitute it into the function expression:

[tex]g(x+7)\\ \\=50-2(x+7)\\ \\=50-2x-14\\ \\=36-2x[/tex]

Now find how g(x) decreases:

[tex]g(x)-g(x+7)\\ \\=(50-2x)-(36-2x)\\ \\=50-2x-36+2x\\ \\=14[/tex]

g(x) decreases by 14

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