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qaws [65]
3 years ago
9

What is the remainder of (3-6×2-9xl+3)?

Mathematics
1 answer:
Naddik [55]3 years ago
3 0
9lx−6x^2+6
It not 91 it the letter L just lower case
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(1 point) If p(x) and (x) are arbitrary polynomials of degree at most 2, then the mapping =p(-1)q(-1) + p(070) +p(3)q(3) defines
Ainat [17]

If p(x) and q(x) are arbitrary polynomials of degree at most 2 then

||p||||q|| = 26(\sqrt{640}) and angle between p(x) and q(x) is 0.233.

Given that

<p,q> = p(-1)q(-1) + p(0) q(0) + p(3)q(3)

and p(x) = 2x²+ 6 , q(x)= 4x²-4x

then the values of p and q at x = -1,0,3 are given as;

x = -1,

p(-1) = 2(-1)² + 6 = 8   ,    q(-1) = 4(-1)² - 4(-1) = 8

x = 0,

p(0) = 2(0)² + 6 = 6   ,    q(0) = 4(0)² - 4(0) = 0

x = 3,

p(3) = 2(3)² + 6 = 24  ,  q(3) = 4(3)²- 4(3) = 24.

<p,q> = p(-1)q(-1) + p(0)q(0) + p(3)q(3)

         = (8)(8) + (6)(0) + 24(24)

         = 64 + 0 + 576

<p,q> = 640

Now we have to find ||p|| ||q||, for this we'll find ||p|| and ||q||

||p|| = \sqrt{ < p,p > }

     = \sqrt{8(8) + 6(6) + 24(24)}

     = \sqrt{676}

||p|| = 26

and

||q|| = \sqrt{ < q,q > }

      =\sqrt{8(8) + 0(0) + 24(24)}

||q||  =\sqrt{640}

∴||p||||q|| = 26(\sqrt{640\\)

Now we have to find angle between p(x) and q(x),

∴ α = cos⁻¹\frac{ < p,q > }{||p||||q||}

      = cos ⁻¹ \frac{640}{26(\sqrt{640}) }

      = cos ⁻¹ \frac{4\sqrt{10} }{13}

  α  = 13.34°

In radian

α = 0.233.

To know more about Inner product here

brainly.com/question/14185022

#SPJ4

5 0
1 year ago
there were twenty one adults in line at a movie theater.That is three times the number of children in line. how many children we
V125BC [204]
You would do 21 divided by 3 and get 7.

The answer is 7 kids are in the line.




Please vote my answer the brainiest if it was helpful!!








7 0
3 years ago
Which of the following measurements is least precise, and how many significant digits does it
gtnhenbr [62]

Answer:

50.25 cm trust me

Step-by-step explanation:

5.25 cm

7 0
2 years ago
On Monday, Takira counted 75 splatters of bird droppings on her car. On Tuesday afternoon, she counted 21 more. What is the perc
Law Incorporation [45]

Answer:

28%

Step-by-step explanation:

percent change in the number of bird droppings = increase in splatters / splatters counted on Monday x 100

\frac{21}{75} x 100 = 28%

3 0
2 years ago
Find the value of x in the rectangle ABCD.
attashe74 [19]

Answer:

52°

Step-by-step explanation:

<em>here's</em><em> </em><em>your</em><em> solution</em>

<em>=</em><em>></em><em> </em><em>we </em><em>know</em><em> </em><em>that</em><em> </em><em>the </em><em>measure</em><em> </em><em>of</em><em> </em><em>angle</em><em> of</em><em> </em><em>rectangle</em><em> </em><em>is </em><em> </em><em>9</em><em>0</em><em>°</em>

<em>=</em><em>></em><em> </em><em> </em><em>3</em><em>8</em><em>°</em><em> </em><em>+</em><em> </em><em>X </em><em> </em><em>=</em><em> </em><em>9</em><em>0</em><em>°</em>

<em>=</em><em>></em><em> </em><em>X </em><em>=</em><em> </em><em>9</em><em>0</em><em>°</em><em> </em><em>-</em><em> </em><em>3</em><em>8</em><em>°</em>

<em>=</em><em>></em><em> </em><em>X </em><em>=</em><em> </em><em>5</em><em>2</em><em>°</em>

<em> </em><em> </em><em> </em><em> </em><em> </em><em>hope</em><em> it</em><em> helps</em>

3 0
2 years ago
Read 2 more answers
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