Which expression is equivalent to -3y^3+6y^2+6y?

Your field experience instructor wants to line up 8 cars for transportation. There are 27 cars available. How many different gro

ValentinkaMS [17]

Answer:

3

Step-by-step explanation:

8*3 is 24 and you cannot add another 8 after that

6 0

3 years ago

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

-2.1b +5.3= b -- 3.1b + 5.3<br><br> does is have one solution or infinitely many solutions ? Why ?

pychu [463]

Answer: infinitely many solutions.

Step-by-step explanation:

Ok, our equation is:

-2.1*b + 5.3 = b - 3.1*b + 5.3

now, simplifyng the right side, we have:

b - 3.1*b + 5.3 = (1 - 3.1)*b + 5.3 = -2.1*b + 5.3

Then our initial expression is:

-2.1*b + 5.3 = -2.1*b + 5.3

So in both sides of the equality we have the exact same thing, so this is a trivial equality.

This means that the equality will remain true for any value of b, which means that we have infinitely many solutions.

6 0

3 years ago

Write each product using an exponent: example 6x6==

swat32

Since 6x6 equals 36, then 6² would be the exponent because 6² is the same as 6x6

3 0

3 years ago

Mr. Babe used to work at a local furniture store.

8090 [49]

A. Mr. Babe made a commission of $14.85

B. He makes $15.75 per hour after the raise.

Step-by-step explanation:

A. While he worked there, Mr. Babe earned 3% on how much he sells. If he sold $495 couch, how much commission did he make?

Worth of sold couch = $495

Commission = 3%

Amount of commission = 3% of total worth sold

Amount of commission = $\frac{3}{100}*495$

Amount of commission = $\frac{1485}{100}=\$14.85$

Mr. Babe made a commission of $14.85

B. On top of his commission, Mr. Babe made $15 per hour. He eventually got a raise with an increase of 5% per hour. After the raise, how much did he make per hour?

Amount earned per hour = $15

Increase = 5%

As the increment is on per hour amount, therefore,

Amount of increase = 5% of per hour amount

Amount of increase = $\frac{5}{100}*15=\frac{75}{100} = \$0.75$

New amount per hour = Per hour amount + amount of increase

New amount per hour = 15+0.75 = $15.75

He makes $15.75 per hour after the raise.

Keywords: percent, addition

Learn more about addition at:

#LearnwithBrainly

7 0

3 years ago