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bonnysvalentine
24.04.2021 •
Mathematics
Carlie biked 24 miles in four hours. What was Carlie's average speed in miles per hour?
1) 8 miles per hour
2) 4 miles per hour
3) 6 miles per hour
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Ответ:
6 miles per hour
Step-by-step explanation:
Ответ:
===========================================================
Explanation:
We start with y = 1/x
Vertically stretching it by a factor of 4 gets us to y = 4/x. Simply multiply the right hand side by 4.
Then reflecting over the y axis means we replace every x with -x to get y = 4/(-x) but that simplifies to y = -4/x. So we can see that any y axis reflection is identical to an x axis reflection, and vice versa. This is due to the symmetry of hyperbolas like this.
Next, we replace x with (x+5) so that we shift the xy axis 5 units to the right, giving the illusion the curve shifts 5 units to the left.
Lastly, we tack on a +4 to shift the graph up 4 units.
The final result is![g(x) = -\frac{4}{x+5}+4](/tpl/images/1393/6339/86d4f.png)