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Black_prince [1.1K]
3 years ago
7

Find the factors of 45

Mathematics
2 answers:
Gre4nikov [31]3 years ago
8 0
The factors of 45 are 1, 3, 5, 9, 15, and <span>45.</span>
pishuonlain [190]3 years ago
3 0
1, 3, 5, 9 , 15 ,45 are the factors of 45
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Can someone help me and show me how to solve this?
DedPeter [7]
XYA = (104 -52)/2

52 /2 = 26

the answer is 26 degrees
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All of our employees speak at least 2 languages and many of them (45%) speak 3. We have even got few (8%) persons, that speak 4
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Let H be the set of all polynomials having degree at most 4 and rational coefficients. Determine whether H is a vector space. If
Verizon [17]

Answer:

Yes. It is a vector space over the field of rational numbers \mathbb{Q}

Step-by-step explanation:

An element p of the set H has the form

p(x)=a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4}

where a_{0},a_{1},a_{2},a_{3},a_{4} are rational coefficients.

The operations of addition and scalar multiplication are defined as follows:

p(x)+q(x)=(a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+x_{4}x^4)+(b_{0}+b_{1}x+b_{2}x^{2}+b_{3}x^{3}+b_{4}x^{4})=(a_{0}+b_{0})+(a_{1}+b_{1})x+(a_{2}+b_{2})x^{2}+(a_{3}+b_{3})x^{3}+(a_{4}+b_{4})x^{4}

\lambda p(x)=\lambda (a_{0}+a_{1}x+a_{2}x^{2}+a_{3}x^{3}+a_{4}x^{4})=\lambda a_{0}+\lambda a_{1}x+\lambda a_{2}x^{2}+\lambda a_{3}x^{3}+\lambda a_{4}x^{4}

The properties that H, together the operations of vector addition and scalar multiplication,  must satisfy are:

  1. Conmutativity
  2. Associativity of addition and scalar multiplication
  3. Additive Identity
  4. Additive inverse
  5. Multiplicative Identity
  6. Distributive properties.

This is not difficult with the definitions given. The most important part is to show that H has a additive identity, which is the zero polynomial, that is closed under vector addition and scalar multiplication. This last properties comes from the fact that \mathbb{Q} is a field, then it is closed under sum and multiplication.

7 0
3 years ago
Consider the numbers 0, 10, 20, 30, and 40. Multiply each by 4 and compare the result to 60 to determine into which of the follo
Nadya [2.5K]

Answer:

Option (b) 10 to 20

Step-by-step explanation:

Let the number obtained between the interval be 'x'

Therefore,

according to the question:

multiplying the number with 4 and then adding 8 to it to get 60

thus,

mathematically, we get

4x + 8 = 60

or

4x = 60 - 8

or

4x = 52

or

x = 13

Hence,

The 13 lies between the interval 10 to 20

Option (b) 10 to 20

7 0
3 years ago
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