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anonymous
 one year ago
The function f(x) = −x2 + 50x − 264 models the profit, in dollars, a yoga studio makes for selling monthly memberships, where x is the number of memberships sold and f(x) is the amount of profit.
Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points)
Part B: Determine the xintercepts. What do these values mean in the context of the problem? (5 points)
anonymous
 one year ago
The function f(x) = −x2 + 50x − 264 models the profit, in dollars, a yoga studio makes for selling monthly memberships, where x is the number of memberships sold and f(x) is the amount of profit. Part A: Determine the vertex. What does this calculation mean in the context of the problem? (5 points) Part B: Determine the xintercepts. What do these values mean in the context of the problem? (5 points)

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freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[f(x)=x^2+50x264 \\ \text{ factor } 1 \text{ from the first two terms } \\ f(x)=(x^250x)264 \\ \text{ now I'm going to leave a little space in the ( )} \\ \text{ this space will be the number we put into complete the square } \\ \text{ but whatever I add in } \\ \text{ I have to subtract out } \\ f(x)=(x^250x+?)264+? \\ \text{ notice I added in a zero } ?+?=0\]

freckles
 one year ago
Best ResponseYou've already chosen the best response.0now it is time to figure what number that ? should be

freckles
 one year ago
Best ResponseYou've already chosen the best response.0do you know how to complete the square?

freckles
 one year ago
Best ResponseYou've already chosen the best response.0okay so what number should the ? be

freckles
 one year ago
Best ResponseYou've already chosen the best response.0hint: \[x^2+kx+(\frac{k}{2})^2 \text{ is equal to } (x+\frac{k}{2})^2 \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.0hmm... how did you get that?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0when you complete a square arent you suposed to add in a 2

freckles
 one year ago
Best ResponseYou've already chosen the best response.0did you read this? \[x^2+kx+(\frac{k}{2})^2 \text{ is equal to } (x+\frac{k}{2})^2 \\ \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.0\[x^250x+... \text{ is the same as } x^2+kx... \text{ when } k=50 \\ x^2+kx+(\frac{k}{2})^2=(x+\frac{k}{2})^2 \\ x^250x+...=(x+..)^2 \\ \]

freckles
 one year ago
Best ResponseYou've already chosen the best response.0I left those spaces for you what number should be in place of first space, the space that has 3 dots in it
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