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Andru [333]
3 years ago
7

Write a comparison sentence that represents this equation. 5x9=45

Mathematics
1 answer:
Effectus [21]3 years ago
3 0

For this case we have the following equation:

5x ^ 9 = 45

Let "x" be the variable that represents an unknown number, then:

The product of a number raised to power nine and five, is represented as: 5x ^ 9

Thus, the full expression will be:

The product of a number raised to power nine and five is equal to 45.

Answer:

The product of a number raised to power nine and five is equal to 45.

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Determine if the described set is a subspace. Assume a, b, and c are real numbers. The subset of R3 consisting of vectors of the
Arte-miy333 [17]

This question is incomplete, the complete question is;

Determine if the described set is a subspace. Assume a, b, and c are real numbers.

The subset of R³ consisting of vectors of the form \left[\begin{array}{ccc}a\\b\\c\end{array}\right] , where abc = 0

  • The set is a subspace
  • The set is not a subspace

Answer:

Therefore; The set is not a subspace

Step-by-step explanation:

Given the data the question;

the subset R³;

S = {  \left[\begin{array}{ccc}a\\b\\c\end{array}\right] , where abc = 0 }

we know that a subset of R³ is a subspace if it stratifies the following properties;

  1. it contains additive identity
  2. it is closed under addition
  3. it is closed under scales multiplication

Looking at the properties, we can say that it is not a subspace

As;

         u = \left[\begin{array}{ccc}1\\1\\0\end{array}\right] ∈ S       and v = \left[\begin{array}{ccc}0\\1\\1\end{array}\right]  ∈ S

As    1×1×0=0                          0×1×1=0

But   u+v = \left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] = \left[\begin{array}{ccc}1\\2\\1\end{array}\right]  ∉  S     as 1×2×1 ≠ 0

Hence, it is not closed under addition.

Therefore; The set is not a subspace

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