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notka56 [123]
2 years ago
10

How do I do this??????? 2/3x-(1/2x+1)btw need it simplified

Mathematics
1 answer:
Setler79 [48]2 years ago
5 0

Answer:

  1/6x -1

Step-by-step explanation:

"Simplify" generally means, "eliminate parentheses and combine like terms." In general, parentheses are eliminated by making use of the distributive property.

__

  \dfrac{2}{3}x-\left(\dfrac{1}{2}x+1\right)=\dfrac{2}{3}x-\dfrac{1}{2}x-1=\left(\dfrac{2}{3}-\dfrac{1}{2}\right)x-1\\\\=\left(\dfrac{4}{6}-\dfrac{3}{6}\right)x-1=\boxed{\dfrac{1}{6}x-1}

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Answer:

The graph of g(x) is wider.

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<u>Transformations</u>:

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f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}

f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}

\begin{aligned} y =a\:f(x) \implies & f(x) \: \textsf{stretched/compressed vertically by a factor of}\:a\\ & \textsf{If }a > 1 \textsf{ it is stretched by a factor of}\: a\\  & \textsf{If }0 < a < 1 \textsf{ it is compressed by a factor of}\: a\\\end{aligned}

\begin{aligned} y=f(ax) \implies & f(x) \: \textsf{stretched/compressed horizontally by a factor of} \: a\\& \textsf{If }a > 1 \textsf{ it is compressed by a factor of}\: a\\  & \textsf{If }0 < a < 1 \textsf{ it is stretched by a factor of}\: a\\\end{aligned}

If the parent function is <u>shifted ¹/₄ unit up</u>:

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