<h3>
Answer:</h3>
- C. (9x -1)(x +4) = 9x² +35x -4
- B. 480
- A. P(t) = 4(1.019)^t
Step-by-step explanation:
1. See the attachment for the filled-in diagram. Adding the contents of the figure gives the sum at the bottom, matching selection C.
2. If we let "d" represent the length of the second volyage, then the total length of the two voyages is ...
... (d+43) + d = 1003
... 2d = 960 . . . . . . . subtract 43
... d = 480 . . . . . . . . divide by 2
The second voyage lasted 480 days.
3. 1.9% - 1.9/100 = 0.019. Adding this fraction to the original means the original is multiplied by 1 +0.019 = 1.019. Doing this multiplication each year for t years means the multiplier is (1.019)^t.
Since the starting value (in 1975) is 4 (billion), the population t years after that is ...
... P(t) = 4(1.019)^t
Answer: 5 47/99
Step-by-step explanation:
ANSWER
x=12, y=10
EXPLANATION
The diagonals of a parallelogram bisect each other.
This implies that;
AE=EC
![4x = 5y - 2](https://tex.z-dn.net/?f=4x%20%3D%205y%20-%202)
![4x - 5y = - 2...(1)](https://tex.z-dn.net/?f=4x%20-%205y%20%3D%20%20-%202...%281%29)
Also, DE=EB;
![2x = y + 14](https://tex.z-dn.net/?f=2x%20%3D%20y%20%2B%2014)
![y =2x - 14...(2)](https://tex.z-dn.net/?f=y%20%3D2x%20-%2014...%282%29)
Put equation (2) in (1).
![4x - 5(2x - 14) = - 2](https://tex.z-dn.net/?f=4x%20-%205%282x%20-%2014%29%20%3D%20%20-%202)
Expand;
![4x - 10x + 70 = - 2](https://tex.z-dn.net/?f=4x%20-%2010x%20%2B%2070%20%3D%20%20-%202)
![- 6x = - 72](https://tex.z-dn.net/?f=%20-%206x%20%3D%20%20-%2072)
![x = 12](https://tex.z-dn.net/?f=x%20%3D%2012)
Put x=2, into equation (2).
![y = 2(12) - 14](https://tex.z-dn.net/?f=y%20%3D%202%2812%29%20-%2014)
![y = 10](https://tex.z-dn.net/?f=y%20%3D%2010)
Answer:
a,c,b
Step-by-step explanation:
the smallest integer is 15
note that consecutive integers have a difference of 1 between them
let the smallest integer be n
then : n, n+ 1, n + 2, n + 3, n + 4, n + 5, n + 6
are seven consecutive integers with n + 6 being the largest, thus summing gives
7n + 21 = 6(6 + n)
7n + 21 = 36 + 6n ( distributing right side )
7n - 6n + 21 = 36 ( subtracting 6n from both sides )
n + 21 = 36 ⇒ n = 36 - 21 = 15
the smallest integer is 15