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Mathematics 16 Online
pytdestinyy:

help I will post the ss below

pytdestinyy:

pytdestinyy:

@AZ

snowflake0531:

I suggest graphing it, and then finding hte vertex of it, it's an integer, which will be easy to find

AZ:

If you have the equation \( ax^2 + bx + c = 0\) Then the vertex is going to be \(\left( -\dfrac{b}{2a}, f\left(-\dfrac{b}{2a}\right)\right)\)

AZ:

for your equation of \(p(x) = \color{red}{-2}x^2 + \color{cyan}{145}x \) -2 is your 'a' and 145 is your 'b' So the x-value of your vertex or the # of shirts to maximize profit would be -b/2a so what is -b/2a if b is 145 and a is -2

pytdestinyy:

I have no idea

snowflake0531:

Plug them into the expression -b/2a, when b is 145 and a is -2

pytdestinyy:

I have to complete a lot of work..can you just give me the answer?

AZ:

just do the math -b / 2a -145 / - 2 = ??

pytdestinyy:

72.5

AZ:

wait oops -b / 2a -145/ (2*-2) = so -145/ - 4 = ??

pytdestinyy:

36.25

pytdestinyy:

so the first option

AZ:

Yup!

AZ:

because we have to do whole number of shirts so we would round down

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