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Serjik [45]
1 year ago
15

G(x) = -x - 2, find g(-5).

Mathematics
1 answer:
Elena L [17]1 year ago
7 0

Answer:

3

Step-by-step explanation:

to solve this equation, put in -5 for x

g(x)=-(-5)-2

g(x)=5-2

g(x)=3

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-x=-y+2 and 3y+4=2x solve using matrices
MissTica

\begin{cases}-x=-y+2\\3y+4=2x\end{cases}\implies\begin{cases}x-y=-2\\2x-3y=4\end{cases}

In matrix form, this is

\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-2\\4\end{bmatrix}

The coefficient matrix has determinant

\begin{vmatrix}1&-1\\2&-3\end{vmatrix}=-3+2=-1\neq0

so it has an inverse, which is

\begin{bmatrix}1&-1\\2&-3\end{bmatrix}^{-1}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}

Multiply both sides by the inverse matrix:

\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}1&-1\\2&-3\end{bmatrix}\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}3&-1\\2&-1\end{bmatrix}\begin{bmatrix}-2\\4\end{bmatrix}

\implies\begin{bmatrix}x\\y\end{bmatrix}=\begin{bmatrix}-10\\-8\end{bmatrix}

so that x=-10 and y=-8.

8 0
3 years ago
9 /5 = 6 5 /x how to solve step by step
ziro4ka [17]
<h2>Answer: x=\frac{325}{9}</h2>

Step-by-step explanation:

  1. Cross-multiply.
  2. Divide both sides by 9.

4 0
3 years ago
Calculate the distance between points (0,0) and (4, 6) on the coordinate plane.​
abruzzese [7]
4 up and 6 right


i hope this helped
5 0
3 years ago
the ratio of pink marbles to white marbles in Samaras bag is equal to 1:5. what percent of the bag contains pink marble
kenny6666 [7]
1:5= 1/5 x 20/20= 20/100

20/100= 0.20

The bag contains 20% of pink marbles.
3 0
4 years ago
By what numbers would you need to multiply the two equations in order to eliminate y? By
WARRIOR [948]

You have to divide the numbers that do not have the variable y in it.

3 0
3 years ago
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