Any odd integer can be expressed as 2n+1, for some integer n.
The next odd integer, after 2n+1, is 2n+1+2=2n+3
thus 9x=2n+1, means that 9x-1=2n, so n=(9x-1)/2
the next odd number after 2n+1 is 2n+3= 2* (9x-1)/2+3=9x-1+3=9x+2
Remark : this result could also have been found directly.
Answer: 9x+2
For this case we have the following equation:
h (t) = - 12t2 + 36t
When the object hits the ground we have:
- 12t2 + 36t = 0
We look for the roots of the polynomial:
t1 = 0
t2 = 3
Therefore, the time it takes the object to hit the ground is:
t = 3 s
Answer:
the time when the object hits the ground is:
t = 3 s
Answer:
The first and third options are the examples of exponential functions.
Step-by-step explanation:
When a quantity is compounded after a certain interval of time at a certain rate, then we can assume that the situation can be represented by an exponential function.
In the first option: An event organizer finds each year's attendance for the past five years is about
of previous year's attendance.
So, here the total attendance is compounding every year by a factor
of previous year's attendance.
Again, in the third case: The total population is increasing by about 7.5% each year.
Hence, the population is compounded every year by 7.5% of the previous year's population.
Therefore, the first and third options are examples of exponential functions. (Answer)
P = 2(L + W)
P = 80
W = 1/3L
80 = 2(L + 1/3L)
80 = 2(3/3L + 1/3L)
80 = 2(4/3L)
80 = 8/3L
80 * 3/8 = L
240/8 = L
30 = L .... length (L) is 30 ft
W = 1/3L
W = 1/3(30)
W = 30/3
W = 10 <== width (W) = 10 ft
-8, 3 Do you need me to explain