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3 years ago

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tom and jerry have to stuff and seal 63 envelopes for a new marketing campaign. jerry can stuff and seal 15 envelopes in 2 minut

es. tom can do 3 envelopes per minutes . how long would it take them if they work together ?

1 answer:

meriva3 years ago

3 0

Answer:

5

Step-by-step explanation:

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Now cross multiply to simplify

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Now divide both sides by 27

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PLEASE HELP I AM SO CONFUSED

Natasha2012 [34]

Answer:

a) h(3) = 9

b) h(0) = 6

c) h(6) = 4

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:

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

Therefore, the function has two definitions:

$\sf h(x)=\dfrac{x^2-36}{x-6} \quad \textsf{when x does not equal 6}$

$\sf h(x)=4 \quad \textsf{when x equals 6}$

<u>Part (a)</u>

h(3) means to substitute x = 3 into the function.

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>

h(0) means to substitute x = 0 into the function.

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:

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