Solve the problem. A reasonable quadratic model for the population of a certain city is found to be
where P(t) is the population (in thousands) of the city in the year that is t years since 2002. A reasonable quadratic model for the consumption of bottled water in the city is
, where B(t) is the total amount of bottled water (in thousands of gallons) consumed by the residents of the city in the year that is t years since 2012. Let M(t) be the annual mean consumption of bottled water per person (in gallons per person) in the year that is t years since 2012.
Find an equation of M.
A. M(t) =
B. M(t) =
C. M(t) =
D. M(t) =
Answer: A
Mathematics
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Solve the problem.During a cold front in Alaska the temperature dropped 5°F each hour for 3 hours. Express the total drop in temperature as an integer.
A. -5°F B. -15°F C. 15°F D. -10°F
Mathematics
Factor by grouping.wy + y + w + 1
A. (w + 1)(y + w) B. (wy + 1)(y + w) C. (w + 1)(y + 1) D. (wy + w)(y + 1)
Mathematics
Factor by grouping.6m3 - 2m2n2 - 3mn + n3
A. (2m2 - n)(3m + n2) B. (2m - n)(3m2 - n2) C. (2m2 + n)(3m - n2) D. (2m2 - n)(3m - n2)
Mathematics
Perform the indicated operations and simplify the result. Leave the answer in factored form. -
A.
B. 0
C.
D.
Mathematics