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1 answer:
Answer:
A. 2x(x+1)(x-6); 0, -1, 6
Step-by-step explanation:
The zeros are the values of x that make the factors zero. That is, for binomial factors, they are the opposite of the constant in the binomial factor. For example, the factor (x+1) will be zero when x = -1, so that -1+1 = 0.
This observation eliminates choices B and C.
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The product of binomial factors looks like this:
(x +a)(x +b) = x² +(a+b)x +ab . . . . . x-coefficient is (a+b)
Once 2x is factored from the given polynomial, the resulting quadratic is ...
x^2 -5x -6
This means the sum of the constants in the binomial terms must be -5. That will only be the case for choice A.
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Answer:
The number of customers needed to break even is
Step-by-step explanation:
Rent per month = $ 7200
Rent per year, $
= $ 86400 -------------(1)
Insurance per year = $ 4200 ---------(2)
Total direct cost for 2 servers (withoout tax) per year,
= $
= $ 60000
Total cost for helper ( without tax) per year,
= $
= $ 15000
Total cost for employees per year (without tax),
= $ (60000 +15000) = $ 75000
Total cost per year for employees including tax,
$
= $
= $ 80737.5 -----------------------(3)
So,
total cost for running the restaurant (except food)
= (1) + (2) + (3) = $
= $ 171337.5
Average total profit per customer,
= ( Average per customer payment - average cost of food per customer)
= $ (45.47 - 20.18)
= $ 25.29
So, total number of customer needed to break even,
=
\simeq 6775