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lilavasa [31]
2 years ago
12

Water coming out from a fountain is modeled by the function f(x) = -x2 + 6x + 6 where f(x) represents the height, in feet, of th

e water from the fountain at different times x, in seconds.
A. The water travels an average distance of 4 feet from 2 seconds to 5 seconds.

B. The water travels an average distance of 1 foot from 2 seconds to 5 seconds.

C. The water falls down with an average speed of 2 feet per second from 2 seconds to 5 seconds.

D. The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.
Mathematics
1 answer:
valentinak56 [21]2 years ago
6 0
I think that the only right answer is the last one D. The water falls down with an average speed of 1 foot per second from 2 seconds to 5 seconds.
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Answer:

The system has an infinite solution at k = 6, otherwise for any value of k, it has zero solution.

Step-by-step explanation:

Consider the system of linear equations:

3x_{1} -x_{2}=2\;\;\;\;\;\;(1)\\ 9x_{1} -3x_{2}=k\;\;\;\;\;(2)

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simplify equation (1):

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substitute in equation (2), we get

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we cannot find the value of x_{1} and x_{2}.

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it means both equations are overlapped. Then, the solution has infinite solutions.

Hence, the system has an infinite solutions at k is 6 otherwise for any value of k it has no solution.

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Long-grain rice costs $0.72/lb. How much would 2.7 lb of long-grain rice cost?
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Answer:

Step-by-step explanation:

(3x – 5)(–x + 4)

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2 years ago
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