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2 years ago

The grid shown below is in the shape of a rectangle.

Mathematics

1 answer:

anzhelika [568]2 years ago

5 0

Answer:

your answer will be B.24

Step-by-step explanation:

have a nice day bye!! ^_^

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Consider the vector space p2 of polynomials of degree at most 2. let t be the linear transformation given by t(p(x)) = p(x − 1)

Goryan [66]

Observe what happens to the basis components under the transformation $T$ :

$T(1)=1+1=2=2\cdot1+0\cdot x+0\cdot x^2$
$T(x)=(x-1)+(x+1)=2x=0\cdot1+2\cdot x+0\cdot x^2$
$T(x^2)=(x-1)^2+(x+1)^2=2x^2+2=2\cdot1+0\cdot x+2\cdot x^2$

So we can represent $T$ with the matrix

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

To check this answer: If we take an arbitrary polynomial $\mathbf p\in\mathbb P_2$ , i.e. the vector

$\mathbf p=\begin{bmatrix}c\\b\\a\end{bmatrix}$

corresponding to the polynomial $p(x)=c+bx+ax^2=c\cdot1+b\cdot x+a\cdot x^2$ , we get

$\mathbf{Tp}=\begin{bmatrix}2a+2c\\2b\\2a\end{bmatrix}=(2a+2c)\cdot1+2b\cdot x+2a\cdot x^2$

Substituting $\mathbf p$ into the rule above, we get

$p(x-1)+p(x+1)=a(x-1)^2+b(x-1)+c+a(x+1)^2+b(x+1)+c$
$p(x-1)+p(x+1)=(2a+2c)+2bx+2ax^2$

as expected.

6 0

2 years ago

The graph of the equation x – 2y = 5 has an x-intercept of 5 and a slope of StartFraction one-half EndFraction. Which shows the

LUCKY_DIMON [66]

Answer:

Graph D

Step-by-step explanation:

Look, I'm trying here, I tried the graphing calculator and it appeared as Graph D

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3 years ago

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What is r i 4.5+10r=-6.5 with work pls

Evgen [1.6K]

Answer:

-11/10 or -1.1

Step-by-step explanation:

To start, let's get rid of those pesky decimals by multiplying everything by 2. Then we get 9 + 20r = -13. Now, let's isolate the r by subtracting 9 from both sides to get 20r = -22. Finally, we need to divide everything by 20 to get r = -11/10 or -1.1.

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2 years ago

Sceenshot please answer it math problem

Inessa05 [86]

To be honest I don’t know but I just looked up diameter and I think the second one pan is right please understand I’m in sixth grade

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2 years ago

In the video at the beginning of the lesson, how many 2-topping pizza combinations were there if there were 7 toppings to choose

elena-s [515]

Answer:

3 or 3 and 1/2

Step-by-step explanation:

2 toppings per pizza

2, 4, 6 and the half pizza with one topping

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2 years ago

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