A certain company's main source of income is a mobile app. The company's annual profit (in millions of dollars) as a function of the app's price (in dollars) is modeled by ��� ( ��� ) = − 2 ( ��� − 3 ) ( ��� − 11 ) P(x)=−2(x−3)(x−11)P, left parenthesis, x, right parenthesis, equals, minus, 2, left parenthesis, x, minus, 3, right parenthesis, left parenthesis, x, minus, 11, right parenthesis What would be the company's profit if the app price is 0 00 dollars?
To find the company's profit if the app price is 0 dollars, we need to evaluate the function P(x) when x = 0.
P(x) = -2(x-3)(x-11)
P(0) = -2(0-3)(0-11)
P(0) = -2(-3)(-11)
P(0) = -2(33)
P(0) = -66
Therefore, the company's profit would be -66 million dollars if the app price is $0.
f(x)=5x−3
f(5)=
To find f(5), we substitute x = 5 into the function f(x) = 5x - 3:
f(5) = 5(5) - 3
f(5) = 25 - 3
f(5) = 22
Therefore, f(5) is equal to 22.
−6⋅f(−3)−5⋅g(−7)=minus, 6, dot, f, left parenthesis, minus, 3, right parenthesis, minus, 5, dot, g, left parenthesis, minus, 7, right parenthesis, equals
To determine the value of -6⋅f(-3) - 5⋅g(-7), we need to know the specific functions for f(x) and g(x). Without that information, we cannot calculate the expression. Please provide the functions f(x) and g(x) so that we can compute the value.
−6⋅f(−3)−5⋅g(−7)=minus, 6, dot, f, left parenthesis, minus, 3, right parenthesis, minus, 5, dot, g, left parenthesis, minus, 7, right parenthesis, equals
y=g(x)
y=f(x)
Thank you for providing the functions f(x) = f and g(x) = g. Now we can calculate -6⋅f(-3) - 5⋅g(-7):
-6⋅f(-3) - 5⋅g(-7) = -6⋅f(-3) - 5⋅g(-7)
Substituting f(-3) with f and g(-7) with g:
-6⋅f(-3) - 5⋅g(-7) = -6⋅f - 5⋅g
Therefore, the value of -6⋅f(-3) - 5⋅g(-7) is -6⋅f - 5⋅g.