I have 4 times the homework than my brother. I have 9 more sheets than him. How many sheets of homework do we have altogether?
1 answer:
You might be interested in
This chart may seem confusing, but it's not too bad once you get the hang of it. It is known as a mileage chart and it shows the distances between any two cities of this current list.
For example, the distance between Bedford and Cambridge is 29 miles because of the "29" in the very top block. This is the intersection between the "bedford" column and the "cambridge" row. Another example: The distance from Cambridge to Haverhill is 48 miles. Look in the "cambridge" column and the "haverhill" row.
With this in mind, we just need to look at the right rows and columns to find the distances to add up. See the set of attached images below. Figure 1 shows me marking the "cambridge" column and the "royston" row. In this row and column combo is the number 13. So the distance between these two cities is 13 miles.
Then onto figure 2 which shows the distance between Royston and Huntingdon is 21 miles. Figure 3 shows the distance from Huntingdon to Cambridge is 15 miles.
Adding the distances gives: 13+21+15 = 49
So that is why the total round trip distance is 49 miles.
Answer:
- as written, -2
- with denominator parentheses, 0
- with f(x)=ln(x) and denominator parentheses, -1/2
Step-by-step explanation:
The problem as stated asks for the limit as x approaches 2 of (0/x) -2.
As written, the limit is (0/2) -2 = -2.
<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/x -2 is defined as -2 everywhere except x=0. So, the value at x=2 is 0/2 -2 = -2.
__
If you mean (f(2) -f(x))/(x -2), that limit is the limit of 0/(x-2) = 0 as x approaches 2.
<u>Explanation</u>: f(x) is a constant, so the numerator is 0. The ratio 0/(x-2) is zero everywhere except at x=2. The left limit and right limit are both 0 as x approaches 2. Since these limits agree, the limit is said to be 0.
__
If you mean f(x) = ln(x) and you want the limit of (f(2) -f(x))/(x -2), that value will be -1/2.
<u>Explanation</u>: The value of the ratio is 0/0 at x=2, so we can find the limit using L'Hôpital's rule. Differentiating numerator and denominator, we have ...
lim = (-1/x)/(1)
The value is -1/2 at x=2.
