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Hoochie [10]
3 years ago
13

K(t)=t^2-t; Find k(-5)

Mathematics
1 answer:
zmey [24]3 years ago
5 0

Answer:

k = - 20

Step-by-step explanation:

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Which expression is equivalent? 7 − 4(2x − 3)
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7-8x+12 = -8x+19
Your answer is D. 
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Pls help ASAP I will give brainleist answer
s2008m [1.1K]

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6 3/10 pounds

Step-by-step explanation:

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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
on Monday joe bought 10 cups of coffee and 5 doughnuts for his his office at the cost of $16.50. It turns out that the doughnuts
AfilCa [17]

X= be coffee

Y=be donuts


Set up equations


10x+5y=16.50

5x+10y=14.25


Now multiply first equation by -2 to get a negative


(-2)10x+5y(-2)=16.50(-2)


-20x-10y=-33


Now put both equations to solve for x


-20x-10y=-33

5x+10y=14.25

___________

-15x. = -18.75


Now divide -15 bith sides to get x alone


X= -18.75/-15


X= 1.25



The cost of each coffee cup$1.25



7 0
3 years ago
The blue segment below is a radius of 00. What is the length of the diameter
dalvyx [7]
D. 16.8 units

A radius is half of the diameter, so to get the answer all you need to do is multiply the length of the given radius by 2.
8.4x2= 16.8
7 0
3 years ago
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