Step-by-step explanation:
x=√7+√5, y=√7-√5
therefore, xy = (√7+√5)(√7-√5) = 7-5 = 2.
Hope this helps you.
The predicted change in mass of the puppies each day. So the first option.
Answer:
So, the number of combinations is 57600.
Step-by-step explanation:
From Exercise we have
5 different history textbooks
4 different science textbooks
For the place in the middle we have 4 books so the number of combinations for that place is 4.
For the places at the end of the shelf I have 5 books, I need 2, so the number is a combination:
2· \frac{5!}{(5-2)!·2!}=2·10=20
For the 6 places on the shelf I have 6 books so the number is a combination 6!=720
So, the number of combinations is:
4·20·720=57600.
Answer:
Step-by-step explanation:
Our inequality is |125-u| ≤ 30. Let's separate this into two. Assuming that (125-u) is positive, we have 125-u ≤ 30, and if we assume that it's negative, we'd have -(125-u)≤30, or u-125≤30.
Therefore, we now have two inequalities to solve for:
125-u ≤ 30
u-125≤30
For the first one, we can subtract 125 and add u to both sides, resulting in
0 ≤ u-95, or 95≤u. Therefore, that is our first inequality.
The second one can be figured out by adding 125 to both sides, so u ≤ 155.
Remember that we took these two inequalities from an absolute value -- as a result, they BOTH must be true in order for the original inequality to be true. Therefore,
u ≥ 95
and
u ≤ 155
combine to be
95 ≤ u ≤ 155, or the 4th option