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Alexus [3.1K]
3 years ago
5

What are the values of x in the equation x(x-6)=4(x+6)?

Mathematics
1 answer:
Kitty [74]3 years ago
5 0
x(x-6)=4(x+6)\\
x^2-6x=4x+24\\
x^2-10x-24=0\\
x^2+2x-12x-24=0\\
x(x+2)-12(x+2)=0\\
(x+2)(x-12)=0\\
x=-2 \vee x=12
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Sarah’s mom took 3 hours to clean, but when Sarah helped, it took them 2 hours to clean. How many hours will it take Sarah to cl
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Answer:

<em>It takes them 1.875 hours.</em>

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<em>Step-by-step explanation:</em>

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<em>Here, the job is cleaning the house.</em>

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<em>In 1 hour, mom does 1/3 of the job.</em>

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<em>In 1 hour, dad does 1/5 of the job.</em>

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<em>Mom and dad working together do the job in x hours.</em>

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What is the value of x in the equation 4(2x + 10) = 0?<br> -5<br> -7<br> 5<br> 7
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Answer:

Step-by-step explanation:

4(2x+10)=0

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Question below
Ksivusya [100]

Answer:

m \times H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-\dfrac{9}{2}}\end{array}\right]

Step-by-step explanation:

<u>Calculate the value of m</u>

Given:

3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=\dfrac{2}{3}m \times \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]

Therefore:

\implies 3=\dfrac{2}{3}m

\implies m=3 \times \dfrac{3}{2}

\implies m=\dfrac{9}{2}

<u>Calculate the value of H</u>

Given:

\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)

Therefore:

\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]

<u />

<u>Calculating m × H</u>

<u />

<u />\implies m \times H=\dfrac{9}{2} \times \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]

<u />\implies m \times H=\left[\begin{array}{c c c}\dfrac{9}{2}(-2) & \dfrac{9}{2}(8) & \dfrac{9}{2}(-1)\end{array}\right]

\implies m \times H=\left[\begin{array}{c c c}-9 & 36 & -\dfrac{9}{2}\end{array}\right]<u />

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2 years ago
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