your friend spends 6+5x minutes lifting weights and 9x+8 minutes running on a treadmill. write a polynomial that represents how much more time is spent running on the treadmill than lifting weights.
To find the polynomial that represents how much more time is spent running on the treadmill than lifting weights, we need to subtract the time spent lifting weights from the time spent running on the treadmill.
Let's start by representing the time spent lifting weights as a polynomial. Your friend spends 6 minutes initially and then an additional 5 minutes for every x (unknown) value. So the time spent lifting weights can be represented as 6 + 5x.
Next, let's represent the time spent running on the treadmill. Your friend spends 9 minutes initially and then an additional 8 minutes for every x (unknown) value. So the time spent running on the treadmill can be represented as 9x + 8.
To find the difference between the time spent running on the treadmill and lifting weights, we subtract the polynomial for lifting weights from the polynomial for running on the treadmill:
(9x + 8) - (6 + 5x)
Now let's simplify the expression:
9x + 8 - 6 - 5x
Combining like terms, we get:
4x + 2
Therefore, the polynomial that represents how much more time is spent running on the treadmill than lifting weights is 4x + 2.
How much more is 9 than 7?
You do it by finding the difference: 9-7
so, do this the same way:
(9x+8)-(5x+6)
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