Respuesta :

mathmate
[tex]P_{dvd}=f(x)=12x[/tex]
[tex]P_{streaming}=g(x)=10(1.2^x)[/tex]
where x is the number of months.
So 
[tex]total profit=h(x)=g(x)+f(x)=10(1.2^x)+12x[/tex]
Factor out the common factor 2,
total profit=h(x)=g(x)+f(x)=2(5(1.2^x)+6x)

x h(x)
1 12+12=24 thousands
2  14.4+24=38.4 thousands
3 53.28 thousands
4 68.736 thousands = $68,736  (targeted profit)
The answer would be D h(x)=2(5(1.2)^x+6) because g(x)=10(1.2)x is exponential while f(x)=12x is linear and you can´t combine the two which crosses out C and the f(x)=12x is a positive slope not a negative slope so that crosses out A and as for B it is changing the entire equation by switching the 5 and the 6 because now it is saying that it is g(x)=12(1.2)^x and f(x)=10x which is not what the original equations had so it would have to be D because it has 5(1.2)^x+6x in parenthesis and is being multiplied by 2 so you can think of it as just h(x)=10(1.2)^x+12x which is correct because according to PEMDAS you will solve for the answer for both first then add them after you have the answer so the correct answer is D

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