Short Answer: Current speed = 3 miles per hour. Given details for downstream distance of 4.48 miles at time 0.32 hours and upstream distance of the same 4.48 miles taking 0.56 hours. Using the equation d = r*t, we equate distances for both directions leading to a function in terms of the current speed. With each correction to solve ultimately yields the current speed as 3 mph.
The answer with the work has been provided previously.
Answer:
y = 2.09x^2 + 0.33x + 3.06
Detailed explanation:
Thus, the algebraic expression representing the weight of coffee B is established. Given that x denotes the pounds of coffee A, the total weight for coffee A and coffee B adds up to 100 pounds, leading to an expression for coffee B's quantity.
In the long term, the expense of the refrigerator represented by g(x) will be the most economical. The average yearly expenditure to operate two different refrigerators over x years is expressed by two functions, f(x) = 850 + 62x and g(x) = 1004 + 51x. Equating these functions, f(x) and g(x) allows us to determine the time in years when their costs will equalize. At x = 1 year, f(1) = 850 + 62 = $912 and g(1) = 1004 + 51 = $1055, indicating f(x) is initially cheaper. To find when f(x) equals g(x), we resolve for x. At x = 14 years, the evaluation shows f(15) = 56.67 + 62 = $118.67 and g(15) = 66.93 + 51 = $117.93, thus confirming g(x) becomes more affordable beyond 14 years. Therefore, for the initial 14 years, f(x) is less than g(x), but thereafter g(x) is cheaper.
