<span>By multiplying the first function with number 5, the graph will stretch by the order of five, meaning that in the second graph every value of the x will correspond to the 5 times bigger value of y than in the first case. Due to the +6 component, the second graph shifts to the left by 6 units.</span>
F(g(x)) means you take the g function and put it into x in the f function. He took the function and put it into the g, which was the incorrect order. He should have had this:
The equation described above can also be written as,
y = -x² + 100x + 4000
To get the number of notebooks that will give them the maximum profit, we derive the equation and equate to zero.
dy/dx = -2x + 100 = 0
The value of x from the equation is 50. Then, we substitute 50 to the original equation to get the profit.
y = -(50^2) + 100(50) + 4000 = 6500
Thus, the maximum profit that the company makes is $6,500/day.
First we convert feet into meters, since 1 feet is 0.3048 m: 275 feet * 0.3048 = 83.82m.
Then we do: 83.82m / 3.23s = <span>25.9504644 m/s.
Then we convert that into miles per hour by </span>2.23694, so we do:
25.9504644 * 2.23694 = <span>58.0496318.
Then we round it to 58 mph.
So the answer is: The cheetah was running at 58 mph.
Hope this helped! c:</span>
