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Answer:
[tex]Polynomial = 5x+ 2[/tex]
Step-by-step explanation:
Given
[tex]Weights = 3 + 4x[/tex]
[tex]Treadmill = 9x + 5[/tex]
Required
Polynomial that represents time spent running treadmill than weight lifting
To do this, we simply subtract weights from treadmill
i.e.
[tex]Polynomial = Treadmill - Weights[/tex]
[tex]Polynomial = 9x + 5 - (3 + 4x)[/tex]
[tex]Polynomial = 9x + 5 - 3 - 4x[/tex]
[tex]Polynomial = 9x - 4x+ 5 - 3[/tex]
[tex]Polynomial = 5x+ 2[/tex]