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erma4kov [3.2K]
3 years ago
8

Please help me ! ASAP. IF POSSIBLE

Mathematics
2 answers:
valentina_108 [34]3 years ago
6 0

Answer:

The answer is 6x². In word format, six x squared.

Step-by-step explanation:

As you know, you find the area using Length*Width, so you do 2x*3x

3*2 is 6 and if you multiply two x's, you get it squared.

Example:

x * x will be x².

If you have something like 2x² * 3x, it would be 6x³.

You are basically adding the exponents when multiplying.

If you have something like 2x² * 3x³, it would not be 6x^6, it would be 6x^5

because again, you are adding the exponents, not multiplying them.

QveST [7]3 years ago
5 0
6x is the answer for the question
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Determine if each of the following sets is a subspace of Pn, for an appropriate value of n.
snow_tiger [21]

Answer:

1) W₁ is a subspace of Pₙ (R)

2) W₂ is not a subspace of Pₙ (R)

4) W₃ is a subspace of Pₙ (R)

Step-by-step explanation:

Given that;

1.Let W₁ be the set of all polynomials of the form p(t) = at², where a is in R

2.Let W₂ be the set of all polynomials of the form p(t) = t² + a, where a is in R

3.Let W₃ be the set of all polynomials of the form p(t) = at² + at, where a is in R

so

1)

let W₁ = { at² ║ a∈ R }

let ∝ = a₁t² and β = a₂t²  ∈W₁

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t²) + c₂(a₂t²)

= c₁a₁t² + c²a₂t²

= (c₁a₁ + c²a₂)t² ∈ W₁

Therefore c₁∝ + c₂β ∈ W₁ for all ∝, β ∈ W₁  and scalars c₁, c₂

Thus, W₁ is a subspace of Pₙ (R)

2)

let W₂ = { t² + a ║ a∈ R }

the zero polynomial 0t² + 0 ∉ W₂

because the coefficient of t² is 0 but not 1

Thus W₂ is not a subspace of Pₙ (R)

3)

let W₃ = { at² + a ║ a∈ R }

let ∝ = a₁t² +a₁t  and β = a₂t² + a₂t ∈ W₃

let c₁, c₂ be two scalars

c₁∝ + c₂β = c₁(a₁t² +a₁t) + c₂(a₂t² + a₂t)

= c₁a₁t² +c₁a₁t + c₂a₂t² + c₂a₂t

= (c₁a₁ +c₂a₂)t² + (c₁a₁t + c₂a₂)t ∈ W₃

Therefore c₁∝ + c₂β ∈ W₃ for all ∝, β ∈ W₃ and scalars c₁, c₂

Thus, W₃ is a subspace of Pₙ (R)

8 0
3 years ago
Put together, Dulcina and Tremaine have 129 total matchbooks. Tremaine's collection has 39 fewer matchbooks in it than Dulcina's
Anit [1.1K]

Answer:

Let the Dulcina's collection be 'x'

Let the Tremaine collection be 'x-39'

x + x - 39 =129

2x = 129 +39

2x = 168

x = 168/2

x = 84

Dulcina's collection = x = 84

Tremaine's collection = x - 39 = 84 - 39 = 45

7 0
3 years ago
PLEASE HELP ME WITH THIS​
galina1969 [7]

Answer:

i do think it's D or C

Step-by-step explanation:

D or C

6 0
2 years ago
This is the range of sample statistics obtained when many samples are selected?
Leno4ka [110]
The range of sample statistics obtained when many samples are selected is a sampling distribution. A sampling distribution is also a probability distribution of the statistics obtained in the large number of samples drawn from a specific population. It also shows every possible result that the statistic can take in every possible sample from the population and how often will each results happens.
4 0
3 years ago
Evaluate the expression 8x for x=2
kodGreya [7K]

Answer:

16

Step-by-step explanation:

8x2

5 0
2 years ago
Read 2 more answers
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