Answer:
x = 3 ± sqrt(11)
Step-by-step explanation:
x^2 - 6x + 9 = 11
Recognizing that this is a perfect square trinomial
(x-3) ^2 =11
Taking the square root of each side
sqrt((x-3) ^2) = ± sqrt(11)
x-3 =± sqrt(11)
Add 3 to each side
x = 3 ± sqrt(11)
Answer:
Step-by-step explanation:
For these we always want to see how much each term is decreasing by, this will tell us what kind of series it is.
-40, -47, -54, -61
Each time it DECREASES by -7, so it is an arithmetic sequence
The explicit form is found with two parts. the start and how much each term changes by. The start is -40 and the change is -7, so the explicit formula is -40 - 7(n-1). This is assuming the first term is a_1. If you are starting with a_0 instead you want to make (n-1) be n. so if a_0 = -40 then you have -40 - 7n but if -40 = a_1 then you have -40 - 7(n-1)
the next one has a "common difference" of 30. so now if -8 is a_0 you have -8 + 30n but if -8 is a_1 then you have -8 + 30(n-1)
Answer:
266is the answer too it u times etc
Answer:
(a) 9 buildings
(b) 2^n -1
Step-by-step explanation:
The number of distinct non-empty subsets of b objects is 2^b -1. Since the subsets are distinct, each could represent a list of the buildings, from the set of b buildings, in which a student is taking courses.
(a) For 8 buildings, 2^8 -1 = 255 students could enroll. for 9 buildings, 2^9-1 = 511 students could enroll.
For 500 students, 9 buildings are required.
__
(b) The maximum number of students for n buildings is ...
2^n -1
Answer:
The best option for him would be a real interest rate of 5%.
Step-by-step explanation:
The nominal interest rate is the one that represents the percentage of increase of the money that is in a certain investment, without discounting the depreciation due to inflation or the payment of taxes.
On the other hand, the real interest rate is the one that represents the real increase in the money invested, after discounting inflation and any taxes to be paid.
Therefore, the best option for Oscar would be to invest his $ 4,000 in a savings account with a real interest rate of 5% per year.
