<em>*100% CORRECT ANSWERS
</em>
Question 1
Consider the sequence:
8, 11, 14, 17, 20, 23, 26, ...
Write a recursive definition.
Question 2
Which sequences could be described by the recursive definition
2, 5, 14, 41, 122...
Question 3
Given that the first term is and the recursive definition is would be the 2nd term
Answer:
let's find the zeros of the divisor
x+2=0
x=-2
let x²-3x+2k =f(x)
Now f(-2)=(-2)²-3(-2)+2k=7
4+6+2k=7
2k=7-10
2k=-3
k=-3/2
The slope of the line that passes through (1, -3) and (0, 2) is: B. m = -5.
<h3>What is the Slope of a Line?</h3>
Slope (m) = rise / run = change in y / change in x.
Given the points, (1, -3) and (0, 2):
Slope (m) = (-3 - 2)/(1 - 0)
Slope (m) = -5/1
Slope (m) = -5
Therefore, the slope of the line is: B. m = -5.
Learn more about the slope of a line on:
brainly.com/question/3493733
#SPJ1
From the question, we know that the solutions of the system
![(s,c)](https://tex.z-dn.net/?f=%28s%2Cc%29)
is (14,6), which means the speed of the the boat in calm water,
![s](https://tex.z-dn.net/?f=s)
, is 14
![\frac{km}{h}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bkm%7D%7Bh%7D%20)
, and the speed of the current,
![c](https://tex.z-dn.net/?f=c)
, is 6
![\frac{km}{h}](https://tex.z-dn.net/?f=%20%5Cfrac%7Bkm%7D%7Bh%7D%20)
. To summarize:
![s=14 \frac{km}{h}](https://tex.z-dn.net/?f=s%3D14%20%5Cfrac%7Bkm%7D%7Bh%7D%20)
and
![c=6 \frac{km}{h}](https://tex.z-dn.net/?f=c%3D6%20%5Cfrac%7Bkm%7D%7Bh%7D%20)
We also know that w<span>hen the boat travels downstream, the current increases the speed of the boat; therefore to find the speed of the boat traveling downstream, we just need to add the speed of the boat and the speed of the current:
</span>
![Speed_{downstream} =s+c](https://tex.z-dn.net/?f=Speed_%7Bdownstream%7D%20%3Ds%2Bc)
![Speed _{downstream} =14 \frac{km}{h} +6 \frac{km}{h}](https://tex.z-dn.net/?f=Speed%20_%7Bdownstream%7D%20%3D14%20%5Cfrac%7Bkm%7D%7Bh%7D%20%2B6%20%5Cfrac%7Bkm%7D%7Bh%7D%20)
![Speed_{downstream} =20 \frac{km}{h}](https://tex.z-dn.net/?f=Speed_%7Bdownstream%7D%20%3D20%20%5Cfrac%7Bkm%7D%7Bh%7D%20)
<span>
Similarly, to find the the speed of the boat traveling upstream, we just need to subtract the speed of the current from the speed of the boat:
</span>
![Speed_{upstream} =s-c](https://tex.z-dn.net/?f=Speed_%7Bupstream%7D%20%3Ds-c)
![Speed_{upstream} =14 \frac{km}{h} -6 \frac{km}{h}](https://tex.z-dn.net/?f=Speed_%7Bupstream%7D%20%3D14%20%5Cfrac%7Bkm%7D%7Bh%7D%20-6%20%5Cfrac%7Bkm%7D%7Bh%7D%20)
![Speed_{upstream} =8 \frac{km}{h}](https://tex.z-dn.net/?f=Speed_%7Bupstream%7D%20%3D8%20%5Cfrac%7Bkm%7D%7Bh%7D%20)
<span>
We can conclude that the correct answer is </span><span>
C. The team traveled at 8 km per hour upstream and 20 km per hour downstream.</span>
Answer:
is this question right please check once