FACTOR the expression 6x+3y-12 using the greatest common multiple.

Mathematics

1 answer:

Vedmedyk [2.9K]3 years ago

8 0

Answer:

Step-by-step explanation:

For 6x+3y-12 the greatest common factor is 3 so

3(2x+y-4)

For -2+6x+4+4x

10x+2 and 2 is greatest common factor so

2(5x+1)

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please explain/give the new equation from the original equation: f(x) = x2 a shifted 3 units down b shifted 4 units right

masha68 [24]

$\bf ~~~~~~~~~~~~\textit{function transformations}
\\\\\\
% templates
f(x)= A( Bx+ C)+ D
\\\\
~~~~y= A( Bx+ C)+ D
\\\\
f(x)= A\sqrt{ Bx+ C}+ D
\\\\
f(x)= A(\mathbb{R})^{ Bx+ C}+ D
\\\\
f(x)= A sin\left( B x+ C \right)+ D
\\\\
--------------------$

$\bf \bullet \textit{ stretches or shrinks horizontally by } A\cdot B\\\\
\bullet \textit{ flips it upside-down if } A\textit{ is negative}\\
~~~~~~\textit{reflection over the x-axis}
\\\\
\bullet \textit{ flips it sideways if } B\textit{ is negative}$

$\bf ~~~~~~\textit{reflection over the y-axis}
\\\\
\bullet \textit{ horizontal shift by }\frac{ C}{ B}\\
~~~~~~if\ \frac{ C}{ B}\textit{ is negative, to the right}\\\\
~~~~~~if\ \frac{ C}{ B}\textit{ is positive, to the left}\\\\
\bullet \textit{ vertical shift by } D\\
~~~~~~if\ D\textit{ is negative, downwards}\\\\
~~~~~~if\ D\textit{ is positive, upwards}\\\\
\bullet \textit{ period of }\frac{2\pi }{ B}$

and with that template in mind.

3 units down, D = -3

4 units to the right, C = -4

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4 years ago

Solve the inequality and then graph its solution: 7s + 12 > 46 - 10s

bazaltina [42]

7s + 12 > 46 - 10s

Add 10s to both sides:

17s + 12 > 46

Subtract 12 to both sides:

17s > 34

Divide 17 to both sides:

s > 2

The inequality graphed would have an open dot on 2 and the arrow would be going to the right.

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Answer:

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