contestada

The function f(x) = 2x + 510 represents the number of calories burned when exercising, where x is the number of hours spent exercising.

The function g(x) = 200x − 125 represents the calorie deficit that occurs when combining diet with exercise, where x is the number of hours spent exercising.

What is (f + g)(2)? Explain.

514 calories burned while combining diet with 2 hours of exercise
789 calories burned while combining diet with 2 hours of exercise
514 calories burned while exercising for 2 hours
789 calories burned while exercising for 2 hours

Respuesta :

calculista

Answer: 789 calories burned while combining diet with 2 hours of exercise

Step-by-step explanation:

we have that

[tex]f(x)=2x+510[/tex]

[tex]g(x)=200x-125[/tex]

we know that

[tex](f+g)(x)=f(x)+g(x)[/tex]

substitute

[tex](f+g)(x)=2x+510+200x-125[/tex]

[tex](f+g)(x)=202x+385[/tex]

Find [tex](f+g)(2)[/tex]

For x=2 hours

substitute

[tex](f+g)(2)=202(2)+385[/tex]

[tex](f+g)(2)=789\ calories[/tex]

therefore

The answer is

789 calories burned while combining diet with 2 hours of exercise

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