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scZoUnD [109]
2 years ago
14

Evaluate each function for the given value

Mathematics
1 answer:
Mariulka [41]2 years ago
7 0

Answer:

3)  5

5)  1

Step-by-step explanation:

substitute the value of 9 for each 'x' in the expression

3) h(9) = 2/3(9) - 1

            = 18/3 - 1

            = 6-1 or 5

substitute the value of 5 for each 'x' in the expression

5) f(5) = -5² + 6(5) - 4

         = -25 + 30 - 4

         = 5-4 or 1

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Answer:

462 paths from A to B

Step-by-step explanation:

The question is incomplete. However, a possible question is to determine the number of possible paths on the grid map.

The first step is to represent the grid map itself. (See attachment 1)

From the question, we understand that:

  • Only right movement is allowed in the horizontal direction
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There are a several number of ways to navigate through. However, one possible way is in attachment 2

In attachment 2,

  • R represents the right movement
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And we have:

R = 5     and    U = 6

The number of possible paths (N) is then calculated as:

N = \frac{(N + U)!}{N!U!}

Substitute values for N and U

N = \frac{(5 + 6)!}{5!6!}

N = \frac{11!}{5!6!}

N = \frac{39916800}{120 * 720}

N = \frac{39916800}{86400}

N = 462

<em>Hence, there are 462 possible paths from A to B</em>

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