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3 years ago

Please help I beg you, I will pay too

Mathematics

1 answer:

makvit [3.9K]3 years ago

7 0

Answer:

Read the claim. Schools should stop doing standardized testing. Read the counterclaim. The Department of Education says that teaching students to do well on standardized tests helps to motivate students and keep them focused on important subjects. Read the rebuttal. On the contrary, being forced to focus on testing stresses students and limits the amount of knowledge they can gain. How can the writer revise the rebuttal to make it stronger

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Let T: P2 → P3 be the transformation that maps a polynomial p(t) into the polynomial (t-2)p(t).

lutik1710 [3]

(a) Applying T to p(t) = 2 - t + t ² gives

T ( p(t) ) = (t - 2) (2 - t + t ²) = -4 + 4t - 3t ² + t ³

(b) T is a linear transformation if for any p(t) and q(t) in P₂ and complex scalars a and b, the image of any linear combination of p and q is equal to the linear combination of the images of p and q. In other words,

T ( a p(t) + b q(t) ) = a T ( p(t) ) + b T ( q(t) )

Let

p(t) = α₀ + α₁ t + α₂ t ²

q(t) = β₀ + β₁ t + β₂ t ²

Compute the images of p and q :

T ( p(t) ) = (t - 2) (α₀ + α₁ t + α₂ t ²)

… = -2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³

Similarly,

T ( q(t) ) = -2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³

Then

a T ( p(t) ) + b T ( q(t) ) = a (-2α₀ + (α₀ - 2α₁) t + (α₁ - 2α₂) t ² + α₂ t ³) + b (-2β₀ + (β₀ - 2β₁) t + (β₁ - 2β₂) t ² + β₂ t ³)

… = c₀ + c₁ t + c₂ t ² + c₃ t ³

where

c₀ = -2 (a α₀ + b β₀)

c₁ = a (α₀ - 2α₁) + b (β₀ - 2β₁)

c₂ = a (α₁ - 2α₂) + b (β₁ - 2β₂)

c₃ = a α₂ + b β₂

Computing the image of a p(t) + b q(t) would give the same result; just multiply it by t - 2 and expand. This establishes that T is indeed linear.

(c) Find the image of each vector in the basis for P₂ :

T (1) = (t - 2) × 1 = t - 2

T (t ) = (t - 2) t = t ² - 2t

T (t ²) = (t - 2) t ² = t ³ - 2t ²

Then

$T=\begin{bmatrix}-2&0&0\\1&-2&0\\0&1&-2\\0&0&1\end{bmatrix}$

4 0

3 years ago

Does Y=3/X represent a linear function when X=0

Elis [28]

Hello,

Divide by 0 is impossible.
So when x=0; y is undefined.

Therefore, y cannot be a linear function.

8 0

3 years ago

Solve the following equation. Then place the correct number in the box provided. 2(P + 1) > 7 + P

Deffense [45]

2(P + 1) > 7 + P
2P + 2 > 7 + P
2P - P > 7 - 2
P > 5

8 0

3 years ago

Read 2 more answers

Kevin planted ome corn in the back yard and meaure it height regularly. Currently, the talk are 75 inche tall. That i 25% taller

Pavlova-9 [17]

The height of the tree was 56 inches.

We can calculate the percentage of a certain amount by :

Subtracting New - Original / New multiplied by 100

this implies it will be

75 - x / 75 × 100 = 25 %

7500 - 100 x = 1875

this implies 7500 - 1875 = 100 x

5625 = 100 x

Thus , On dividing both sides by 100 we get

56.25 = x

Now on rounding off this number we will get

56 = x

Thus the original height of the corn plant was 56 inches

To know more about percentage you may visit the link which is mentioned below :

brainly.com/question/10168902

#SPJ1

8 0

2 years ago

Your school is hosting a play and tickets are being sold for $10 each the cost to rent the nearby theater and costumes is $450 a

svlad2 [7]

Answer:

Step-by-step explanation:

450 < 10x - 1x

450 < 9x

50 < x

you must sell 50 tickets to break even; 51 to make a profit

8 0

3 years ago