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vazorg [7]
4 years ago
9

145 300 610 1230

Mathematics
1 answer:
Vlad1618 [11]4 years ago
5 0
Multiplying by 2 and then adding 10 145*2=290+10=300
300*2=600+10=610
610*2=1220 + 10=1230
x=2 y=10
x+y=12
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PLEASE HELP I AM SO CONFUSED
Natasha2012 [34]

Answer:

a)  h(3) = 9

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Step-by-step explanation:

Piecewise functions have <u>multiple pieces</u> of curves/lines where each piece corresponds to its definition over an <u>interval</u>.

Given piecewise function:

\sf h(x)=\begin{cases}\sf \dfrac{x^2-36}{x-6} &\textsf{if }x\neq  6\\\\\sf 4 & \textsf{if }x=6\end{cases}

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<u>Part (a)</u>

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As <u>x does not equal 6</u>, substitute x = 3 into the <u>first piece of the function</u>:

\begin{aligned}\sf \implies h(3) & =\sf \dfrac{(3)^2-36}{(3)-6}\\\\ & = \sf \dfrac{9-36}{-3}\\\\ & = \sf \dfrac{-27}{-3}\\\\ & = \sf 9\end{aligned}

<u>Part (b)</u>

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As <u>x does not equal 6</u>, substitute x = 0 into the <u>first piece of the function</u>:

\begin{aligned}\sf \implies h(0) & =\sf \dfrac{(0)^2-36}{(0)-6}\\\\ & = \sf \dfrac{0-36}{-6}\\\\ & = \sf \dfrac{-36}{-6}\\\\ & = \sf 6\end{aligned}

<u>Part (c)</u>

h(6) means to substitute x = 6 into the function.

As <u>x equals 6</u>, then use the <u>second piece of the function</u>:

\sf \implies h(6)=4

Learn more about piecewise functions here:

brainly.com/question/11562909

brainly.com/question/28151925

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Step-by-step explanation:

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