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Ilia_Sergeevich [38]
3 years ago
7

How many solutions does 4(x-1)-x = 3(x+5)-11 have

Mathematics
1 answer:
bonufazy [111]3 years ago
6 0

Answer:

None.

Step-by-step explanation:

4(x-1)-x = 3(x+5)-11

4x-4-x=3x+15-11

we combine like terms.

4x-x-4=3x+14

3x-4=3x+14

we then isolate the variables.

3x-4=3x+14

   +4       +4

3x=3x+18

-3x -3x

0≠18

No solutions

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Answer:

C

Step-by-step explanation:

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2 years ago
Drag each set of column entries to the correct location in the matrix equation. Not all sets of entries will be used. A biker ne
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Answer:

The matrix equation is \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

Step-by-step explanation:

* Lets change the story problem to equations

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∵ The distance from the starting point to checkpoint 1 is x

∵ The distance from checkpoint 1 to checkpoint 2 is y

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- The distance from checkpoint 2 to the finish line is 20 miles less

 than twice the distance from checkpoint 1 to checkpoint 2

∵ The distance from checkpoint 2 to the finish line is z

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* Now lets write the three equations

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# x - (1/2) y = 35 ⇒ (2)

# 2y - z = 20 ⇒ (3)

- Now lets write the matrix equation that models this situation

∴ \left[\begin{array}{ccc}1&1&1\\1&-1/2&0\\0&2&-1\end{array}\right]=\left[\begin{array}{c}120&35&20\end{array}\right]

6 0
2 years ago
Read 2 more answers
9.21 <br><img src="https://tex.z-dn.net/?f=9.21%20%5Cdiv%200.4%20%3D%20" id="TexFormula1" title="9.21 \div 0.4 = " alt="9.21 \di
Whitepunk [10]
Let us do it by converting the 0.4 to a fraction, it has one decimal, so we'll use one zero at the denominator.

and 9.21 to a fraction as well, two decimals, thus two zeros at the denominator then,

\bf 9.21\div 0.4\\\\&#10;-------------------------------\\\\&#10;0.\underline{4}\implies \cfrac{04}{1\underline{0}}\implies \cfrac{4}{10}\implies \cfrac{2}{5}\qquad \qquad \qquad \qquad 9.\underline{21}\implies \cfrac{921}{1\underline{00}}\\\\&#10;-------------------------------\\\\&#10;9.21\div 0.4\implies \cfrac{921}{100}\div \cfrac{2}{5}\implies \cfrac{921}{100}\cdot \cfrac{5}{2}\implies \cfrac{921}{20}\cdot \cfrac{1}{2}\implies \cfrac{921}{40}&#10;\\\\\\&#10;23\frac{1}{40}\implies 23.025
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-------------

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