Resmund works as a hotel clerk. He earns $5.60 per hour for a 40 hour week.

Mathematics

1 answer:

Ivan2 years ago

4 0

Reg rate = $5.6
Overtime rate = $8.4
(40 hours * $5.6) + (3.75 hours * $8.4)
$224 + $31.5
Total pay = $255.5

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$\large\begin{array}{l} \textsf{b) }\mathsf{(g\circ f)(-2)}\\\\ =\mathsf{g\big[f(-2)\big]}\\\\ =\mathsf{\sqrt{f(-2)}}\\\\ =\mathsf{\sqrt{(-2)^2-6\cdot (-2)+2}}\\\\ =\mathsf{\sqrt{4+12+2}}\\\\ =\mathsf{\sqrt{18}}\\\\ =\mathsf{\sqrt{3^2\cdot 2}}\\\\ =\mathsf{3\sqrt{2}}\\\\\\ \therefore~~\boxed{\begin{array}{c}\mathsf{(g\circ f)(-2)=3\sqrt{2}} \end{array}}\qquad\checkmark \end{array}$

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Tags: composite function composition evaluate algebra

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