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Vedmedyk [2.9K]
3 years ago
6

What is X if

Mathematics
1 answer:
umka2103 [35]3 years ago
7 0

Answer:

X = \begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}

Step-by-step explanation:

\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix} +X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}

X = \begin{bmatrix} - 5 & - 1\\ 2 & 1\end{bmatrix}-\begin{bmatrix} - 1 & - 2\\ 4 & 8\end{bmatrix}

X = \begin{bmatrix} - 5-(-1) & - 1-(-2)\\ 2-4 & 1-8\end{bmatrix}

X = \begin{bmatrix} - 5+1 & - 1+2\\ 2-4 & 1-8\end{bmatrix}

X = \begin{bmatrix} - 4 & 1 \\ - 2 & - 7\end{bmatrix}

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Which expressions are equivalent to 7x – 14? Check all that apply. 14 – 7x x – 2 –(14 – 7x) 7(x – 2) 3x – 14 4x 2x – 10 5x 4.
kondaur [170]

Linear equation are the equation which has the highest power of the unknown variable is 1.The expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

The equations given in the problem are the linear equations.

<h3>Linear equation</h3>

Linear equation are the equation which has the highest power of the unknown variable is 1.

Given-

1) The given expression in the problem is,

f(x)=7x-14

Rewrite the equation as,

f(x)=(7x-14)

Take out the negative sign from the bracket,

f(x)=-(-7x+14)

Rewrite the equation with positive terms first.

f(x)=-(14-7x)

Hence the given equation is equivalent to the option 1.

2) The given equation,

f(x)=7x-14

On solving further take out the 7 common from the bracket,

f(x)=7(x-2)

Thus the given equation is equivalent to the option 2.

3) The given equation,

f(x)=7x-14

Split the term of <em>x,</em>

<em />f(x)=4x+3x-14<em />

Rewrite the equation,

f(x)=3x-14+4x

Hence the given equation is equivalent to the option 3.

4) The given equation,

f(x)=7x-14

Split the term of <em>x </em>and constant term,

<em />f(x)=5x+2x-10-4<em />

Rewrite the equation,

f(x)=2x-10+5x-4

Hence the given equation is not equivalent to the option 4.

Thus the expressions given in the  option 1, 2, and 3 are equivalent to 7x - 14.

Learn more about the linear equation here;

brainly.com/question/11897796

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The functions r and s are defined as follows.
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Answer:

r(s(-2)) = -2

Step-by-step explanation:

We are given these following functions:

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s(x) = x^2 - 2

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First we find the composition of r and s functions. It is:

r(s(x)) = r(x^2-2) = -2(x^2-2) + 2 = -2x^2 + 6

At x = -2

r(s(-2)) = -2(-2)^2 + 6 = -8 + 6 = -2

r(s(-2)) = -2

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