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3 years ago

Factor the polynomial. Factor completely. 11xy^5 + 77x^2y^4

Mathematics

1 answer:

ozzi3 years ago

6 0

Answer:

11xy^4(y+7x)

Step-by-step explanation:

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15 Points

lakkis [162]

Answer:

y = 22⅘

Step-by-step explanation:

5x = 4

x = 0.8

y + 62(0.8) - 3y = 4

2y = 49.6 - 4

2y = 45.6

y = 22.8

4 0

2 years ago

Change the subject of the formular to R

Dmitrij [34]

Answer:

r=s-t ÷ 2

Step-by-step explanation:

r2=s-t

r2÷2= s-t ÷2

r=s-t ÷2

5 0

3 years ago

Pls pick one option to help me out

jek_recluse [69]

option is c=2/3

2/3+ 1/7 = 17/21

5 0

2 years ago

Orthogonally diagonalize the matrix, giving an orthogonal matrix P and a diagonal matrix D. To save time, the eigenvalues are

alexgriva [62]

Answer:

$P=\left(\begin{array}{ccc}-\frac{2}{3}&-\frac{2}{3}&\frac{1}{3}\\\frac{1}{\sqrt{5}}&0&\frac{2}{\sqrt{5}}\\-\frac{4}{3\sqrt{5}}&\frac{\sqrt{5}}{3}&\frac{2}{3\sqrt{5}}\end{array}\right)$

Step-by-step explanation:

It is a result that a matrix $A$ is orthogonally diagonalizable if and only if $A$ is a symmetric matrix. According with the data you provided the matrix should be

$A=\left(\begin{array}{ccc}-9&-4&2\\ -4&-9&2\\2&2&-6\\\end{array}\right)$

We know that its eigenvalues are $\lambda_{1}=-14, \lambda_{2}=-5$ , where $\lambda_{2}=-5$ has multiplicity two.

So if we calculate the corresponding eigenspaces for each eigenvalue we have

$E_{\lambda_{1}=-14}=\langle(-2,-2,1)\rangle$ , $E_{\lambda_{2}=-5}=\langle(1,0,2),(-1,1,0)\rangle.$ .

With this in mind we can form the matrices $P, D$ that diagonalizes the matrix $A$ so.

$P=\left(\begin{array}{ccc}-2&-2&1\\1&0&2\\-1&1&0\\\end{array}\right)$

and

$D=\left(\begin{array}{ccc}-14&0&0\\0&-5&0\\0&0&-5\\\end{array}\right)$

Observe that the rows of $P$ are the eigenvectors corresponding to the eigen values.

Now you only need to normalize each row of $P$ dividing by its norm, as a row vector.

The matrix you have to obtain is the matrix shown below

3 0

3 years ago

Eli buys 8 gigabytes of memory for his computer he spends 392. whatbis the cost of 1 gigabyte memory

kotykmax [81]

If Eli spends $392 for 8 gigabytes of memory, then $8g=392$ , where g is a gigabyte of memory. All you have to do is to reduce the equation. In this case, divide both sides by 8 to get $g=49$ . So the cost of 1 gigabyte of memory is $49.

6 0

2 years ago