Answer:
The width of the area model is equal to
Step-by-step explanation:
we know that
The area of a rectangular model is given by the formula
----> equation A
where
L is the length
W is the width
we have
Factor the expression
substitute the value of the Area in the equation A
In this problem
The greatest common factor of these terms is the length (L=5 units)
so
we can say that the width is equal to (2x^2-x+3)
therefore
The width of the area model is equal to
Answer:
The bacteria population will change with a growth factor of 1/12 for every half an hour or 1/12 per 30 minutes. (I don't know what the options are, but anything related to the answer I gave should be right.)
Step-by-step explanation:
Simple mathematics should get you the right answer. Here we are dealing with a fraction in a fraction. The first scenario should look like this: <u>1/6 / 1</u>. Basically, that looks like one-sixth over one. Obviously, if we divide 1/6 by 1, we would get 1/6 itself again and we want to know what growth factor the population changes by for every half an hour. There are <u>30 minutes</u> in half an hour and <u>60 minutes</u> in one hour. Let's use the simplified terms to our advantage. Now, our first scenario should look like this: <u>1/6 / 60</u>. Looks better now doesn't it? (Check the linked image to see the full scenario and how I did it in this next part.) For me, I divided 60 by 30 to get the scale factor, which is 2, then I divide 2 by 1/6 to get 1/12. Finally, we have 1/12 per half an hour! If I am wrong, please let me know and I hope this helps! :D
