N is an odd number.

Mathematics

1 answer:

aev [14]3 years ago

7 0

Answer:

E: n(n-2) is odd F: (n - 2)2 is odd

Step-by-step explanation:

Odd numbers are numbers divisible by 2 [ 1, 3, 5, 7, 9 … ]

» Assume n is 3

${ \tt{n - 1 = 3 - 1 = 2 \: \{even \: number \}}} \\ { \tt{n(n - 1) = 2 \times 3 = 6 \: \{even \: number \}}} \\ { \tt{n(n - 2) = 3(3 - 2) = 3 \: \: \{odd \: number \}}}$

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Part 2 Directions: Solve the matrix equation for "X" and "y" 5 - 2x 6 1 -8 + 2 -8 4. - 13 -13

Karolina [17]

Answer:

The value of x=9 and value of y= -7

Step-by-step explanation:

We need to solve the matrix equation for x and y

We are given:

$\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +2\left[\begin{array}{cc}5&-1\\y&6\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

First multiply 2 with terms inside the matrix

$\left[\begin{array}{cc}-2x&6\\1&-8\\\end{array}\right] +\left[\begin{array}{cc}10&-2\\2y&12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$

Now adding matrices on left side

$\left[\begin{array}{cc}-2x+10&6-2\\1+2y&-8+12\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]\\\left[\begin{array}{cc}-2x+10&4\\1+2y&4\\\end{array}\right] =\left[\begin{array}{cc}-8&4\\-13&-13\\\end{array}\right]$