In order to hop 8 units, you can do:
1 two-units hops, 2 three-units hops
4 two-units hops
1 one-unit hops, 2 two-units hops, 1 three-units hops
2 one-unit hops, 2 three-units hops
2 one-unit hops, 3 two-units hops
3 one-unit hops, 1 two-units hops, 1 three-units hops
4 one-unit hops, 2 two-units hops
5 one-unit hops, 1 three-units hops
6 one-unit hops, 1 two-units hops
8 one-unit hops
In this proble, we are asked to determine the roots of the quadratic equation x^2 + 11 x = -24. The standard form is x^2 + 11 x + 24 = 0. the second term is the negative sum of the roots and the third terms is the equal to the product of the roots.Hence the roots should be -3 and -8.
So, I didn't quite understand your question clearly, but I'll try my best to answer it.
So, the first question is quite simple: Did the runner have a % decrease in his time or an increase.
Well, 7:45 is minor than 5:51. So, his time decreased.
2nd question:
The percent of change. Well, first things first 7:45 has 2 different units, wich are minutes and seconds, I suppose. Same goes for 5:51.
So let's put everything in seconds. multiply both the 7 and 5 for 60(for every minute has 60 seconds.)
That means:
7*60= 420+45 = 465.
5*60=300+51=351.
Now, let's do the math itself:
465 -> 100%
351 -> x%
Is equal to about 75,5%
How much did it decrease then?
(75,5-100)%= 24,5%, approximately
