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xz_007 [3.2K]
3 years ago
14

Solve the system by substitution. y = -9x y = 2x + 33

Mathematics
1 answer:
Gwar [14]3 years ago
5 0

Answer:

y =  - 9x \\ theny = 2x + 33 \\  - 9x = 2x + 33 \\  - 9x - 2x = 33 \\  - 11x = 33 \\ x =  \frac{ - 33}{11}  =  - 3 \\ x =  - 3 \\then\\ y=-9×-3=21\\ thank \: you

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Consider the vector x: x <- c(2, 43, 27, 96, 18) Match the following outputs to the function which produces that output. Opti
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<u>Completed Question</u>

Outputs to be matched to the functions are:

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Answer:

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  • rank(x) : 1, 4, 3, 5, 2
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Step-by-step explanation:

Given the vector x: x <- c(2, 43, 27, 96, 18)

<u>Sort</u>

In R, the sort(x)  function is used to arrange the entries in ascending or descending order. By default, R will sort the vector in ascending order.

Therefore, the output that matches the sort function is:

sort(x): 2, 18, 27, 43, 96

<u>Rank</u>

The rank function returns a vector with the "rank" of each value.

x <- c(2, 43, 27, 96, 18)

  • 2 has a rank of 1
  • 43 has a rank of 4
  • 27 has a rank of 3
  • 96 has a rank of 5
  • 18 has a rank of 2

Therefore, the output of rank(x)  is: 1, 4, 3, 5, 2

<u>Order</u>

When the function is sorted, the order function gives the previous location of each of the element of the vector.

Using the sort(x) function, we obtain: 2, 18, 27, 43, 96

In the vector: x <- c(2, 43, 27, 96, 18)

  • 2 was in the 1st position
  • 18 was in the 5th position
  • 27 was in the 3rd position
  • 43 was in the 2nd position
  • 96 was in the 4th position

Therefore, the output of order(x) is: 1, 5, 3, 2, 4

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