H(x)= 0.002x^2+0.005x-0.029 where x is the speed of the car in miles per hour.

How can I rewrite the function so that x represe the speed in kilometers per hour. [Find H(x/1.6)]

To rewrite the function H(x) so that x represents the speed in kilometers per hour, we need to convert the speed from miles per hour to kilometers per hour.

1 mile is equal to 1.6 kilometers. Therefore, to convert from miles per hour to kilometers per hour, we divide the speed in miles per hour by 1.6.

So, to find H(x/1.6), we substitute (x/1.6) into the function H(x):

H(x/1.6) = 0.002 * (x/1.6)^2 + 0.005 * (x/1.6) - 0.029

Simplifying further:

H(x/1.6) = 0.002 * (x^2/2.56) + 0.005 * (x/1.6) - 0.029

Next, we can simplify the expression:

H(x/1.6) = (0.002/2.56) * x^2 + (0.005/1.6) * x - 0.029

Now, we have rewritten the function H(x) so that x represents the speed in kilometers per hour.