Answer:
Step-by-step explanation:
6x - 3 - 11
6(4) - 3 - 11
24 - 14
10
Answer:
(1)
(2)
If we divide equations (2) and (1) we got:

And then 
And then we can find the value
and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Step-by-step explanation:
the general formula for a geometric sequence is given by:

For this case we know that 
Then we have the following conditions:
(1)
(2)
If we divide equations (2) and (1) we got:

And then 
And then we can find the value
and we got from equation (1)

And then the general term for the sequence would be given by:

And the best option would be:
C) a1=759,375; an=an−1⋅(1/15)
Answer: 13
Althoug each round trip takes 9 minutes and can carry 5 people on the boat, you can not just divide the 20 minutes time by 9 and multiply by 5 to find the number of people that are saved without getting wet.
First trip:
5 people take the boat to the island but only 4 can stay, because one has to return with the boat to the ship to rescue other 4 people.
So, when 9 minutes have passed, 4 people are safe on the island and the boat is again by the ship.
Second trip:
In the second trip, other 4 people are rescued,along with "sailor" who returned in the boat to rescue them.
When it has passed 18 minutes, the boat is next to the ship agin to carry other 4 people before the boat sinks.
This is the last trip before the boat sinks. So, the total number of passengers rescued is 4 + 4 + 5 = 13
Answer:
B
Step-by-step explanation:
Given the 2 equations
4x + 3y = 16 → (1)
7x + 6y = 31 → (2)
Multiplying (1) by - 2 and adding to (2) will eliminate the term in y
- 8x - 6y = - 32 → (3)
Add (2) and (3) term by term
- x = - 1 ( multiply both sides by - 1 )
x = 1
Substitute x = 1 in either of the 2 equations and solve for y
Substituting in (1)
4(1) + 3y = 16
4 + 3y = 16 ( subtract 4 from both sides )
3y = 12 ( divide both sides by 3 )
y = 4
Solution is (1, 4 ) → B