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KatRina [158]
3 years ago
9

0.5(70a + 12b +2) anyone??

Mathematics
2 answers:
Darya [45]3 years ago
5 0
0.5(70a+12b+2)

0.5*70a=35a

0.5*12b=6b

0.5*2=1

35a+6b+1
gregori [183]3 years ago
4 0
THE ANSWER IS 49ab BECAUSE YEAH
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Step-by-step explanation:

Parent function:

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New function:

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<u>Transformations</u>:

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

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\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>:

\implies g(x)=x^2+\dfrac{1}{4}

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

\implies g(x)=x^2-\dfrac{1}{4}

If the parent function is <u>compressed vertically</u> by a factor of ¹/₄:

\implies g(x)=\dfrac{1}{4}x^2

If the parent function is <u>stretched horizontally</u> by a factor of ¹/₂:

\implies g(x)=\left(\dfrac{1}{2}x\right)^2

Therefore, a vertical compression and a horizontal stretch mean that the graph of g(x) is wider.

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