A rate allows us to compare two numbers or measurements and give them a value. This helps us in real life to make everyday activities simpler. For example: you have to take a photocopy as quickly as possible and you have two photocopiers. The first draws 10 copies per minute and the second only 5 copies per minute. Using the rates you can know that the first option in better because you will have the double of copies in the same time. Another example is a place where you get 2 pizzas for $10 and another where you get 1 for $8. The rates help you to know that in the first place they give you 1 pizza for $5 (10÷2=5) so it is a cheaper option.
The key element that helped the Patriots win the war was them knowing and fighting on their own land. This allowed for them to know and understand where and when to hide, and where to set up ambushes.
Hope this Helps! :)
<span>Part A: First, we factor out a^2 to obtain: a^2 [5x^2 - 19x - 4] = a^2[(5x+1)(x-4)]
Part B: By inspection, we can use the factors (x+7)(x+7). To check that we have indeed chosen correctly, we will multiply our factors to obtain x^2 + 7x + 7x + 49 =
x^2 + 14x + 49 = 0, which is correct.
Part C: Again, we can use trial and error and try the factors (x+10)(x-10). Multiplying throughout, we obtain x^2 + 10x - 10x - 100 = x^2 -100.</span>
Answer: the number of residents has grown substantially
Explanation:
