The revenue of selling a new video game is modeled by the equation can be modeled by the equation f(x)=-3x^2 + 21x + 54 where x is the price of the game and y is the revenue. Find the price of the game, x, that would result in no revenue.

Step-by-step explanation:

Given the revenue of selling a new video game modeled by the equation f(x)=-3x² + 21x + 54 where x is the price of the game and y is the revenue, to calculate the price of game x that would result in no revenue, we will set the revenue f(x) to be zero and then solve the resultinf equation.

at f(x) = 0;

0 = -3x² + 21x + 54

0 = -x² + 7x + 18

Multiplying through by minus sign

x² - 7x - 18 = 0

Factorizing the resulting expression;

x² - 9x+2x - 18 = 0

(x² - 9x)+(2x - 18) = 0

x(x-9)+2(x-9) = 0

(x-9)(x+2) = 0

x-9 = 0 and x+2 = 0

x = 9 and -2

Neglecting the negaive value of x;

x = 9

Hence, the price of the game, x, that would result in no revenue is 9.

step-by-step explanation:

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