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avanturin [10]
3 years ago
12

Simplify the following expression:

Mathematics
1 answer:
Morgarella [4.7K]3 years ago
8 0

Answer:

2nd option

Step-by-step explanation:

Given

2x - 8y + 3x² + 7y - 12x ← collect like terms

= 3x² + (2x - 12x) + (- 8y + 7y)

= 3x² + (- 10x) + (- y)

= 3x² - 10x - y

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Lara solved an equation incorrectly, as shown below:
son4ous [18]

We have been given the steps to solve the equation as

Step 1: 2x = 18

Step 2: x = 18 − 2

Step 3: x = 16

There is an error in step 2.

We have 2x=18

x is in multiplication with 2. So in order to get rid of 2 from the left hand side, we perform opposite operation of multiplication i.e. division.

So we must divide both sides by 2.

Therefore, A is the correct option.

A) She did not divide 18 by 2.

8 0
3 years ago
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Transfer transfer the system of equations by forming a matrix equation.
Anika [276]

Answer:

Step-by-step explanation:

\begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}\times \begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}\times \begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7} \begin{bmatrix}2  & 3 \\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\ -1\end{bmatrix}  

Since, \begin{bmatrix}2 & -3\\ 1 & 2\end{bmatrix}^{-1}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}

And A^{-1}A=I

\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}2 & 3\\ -1 & 2\end{bmatrix}\times \begin{bmatrix}19\\-1 \end{bmatrix}

\begin{bmatrix}x\\y \end{bmatrix}=\frac{1}{7}\begin{bmatrix}35\\ -21\end{bmatrix}

\begin{bmatrix}x\\y \end{bmatrix}=\begin{bmatrix}5\\ -3\end{bmatrix}                

Therefore, x = 5 and y = -3 will be the value of variables.

3 0
3 years ago
please help me if you do god bless you and thank you so much even if you dont help god bless you and your hearts but PLSSSSS hel
Phantasy [73]
<h3>Answer: True</h3>

Explanation:

All direct proportion equations are <u>straight lines</u> that go through the <u>origin</u>.

In this case, the constant of proportionality is 5 because of the following

  • y/x = 5/1 = 5
  • y/x = 10/2 = 5
  • y/x = 15/3 = 5
  • y/x = 35/7 = 5
  • y/x = 50/10 = 5

Each x,y set of values are selected from the points in the graph. The equation of the green line is y = 5x with slope 5 and y intercept 0.

Furthermore, that slope 5 indicates that the unit rate is 5 gallons per minute.

4 0
3 years ago
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Which equation is NOT true?
Arlecino [84]

Answer:

{ \bf{15x + 30 = 180}}

3 0
3 years ago
HELP! NOW!
fredd [130]

Answer:

B. x = y

Step-by-step explanation:

Since sweaters discount (x) and shirt discount (y) are the same like we are told, then they are equal.

8 0
3 years ago
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