Answer:
-8/15 or -0.5333333
Step-by-step explanation:
In the interval from 10 to 25, the y value of the graph changed from 10 to 2, a change of -8. -8/15=-0.5333333. Hope this helps, and PM me with more questions!
Answer:
y=20x+150
Step-by-step explanation:
Sandy has 150 dollars ALREADY in her account, so each time she earns the money it is building upon. 20x (x because we don't know for how many months.)
Hope this helps ;)
What we have been given here are two points.
f(3) = -4 is the same as (3, -4)
f(2) = 6 is the same as (2, 6)
We can then use these two points to find the equation of a line.
Step 1: Find the slope
Slope Formula: (y2 - y1) / (x2 - x1)
Slope = (6 - - 4) / (2 - 3) = (10) / (-1) = -10
Step 2: Find the y-intercept
To find the y-intercept, we'll take our slope and one of our points and plug them into slope-intercept form, then solve for b.
Slope-Intercept Form: y = mx + b
Point = (2, 6)
6 = 2(-10) + b
6 = -20 + b
b = 26
Step 3: Create the equation of the line
Now that we have the slope and y-intercept, all that's left to do is plug both of those values into slope-intercept form.
y = -10x + 26
Answer: y = -10x + 26
Hope this helps!
Answer:
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Answer:
Option B is correct
For
, the function for the given sequence is defined as; ![f[n] = 4 +3n](https://tex.z-dn.net/?f=f%5Bn%5D%20%3D%204%20%2B3n)
Step-by-step explanation:
An arithmetic sequence is a sequence in which the difference between each consecutive term is constant.
An explicit formula for this arithmetic sequence given by;
where a represents first term
Since, the given sequences; 7 , 10 , 13 , 16 and 19
⇒ common difference(d) = 3 and a = 7
Since.
10 -7 = 3
13- 10 = 3 ....
The function which defined this sequence is;
![f[n]=a_n = 7 +(n-1)(3)](https://tex.z-dn.net/?f=f%5Bn%5D%3Da_n%20%3D%207%20%2B%28n-1%29%283%29)
using distributive property:
![f[n] = 7 + 3n -3](https://tex.z-dn.net/?f=f%5Bn%5D%20%3D%207%20%2B%203n%20-3)
![f[n] = 4 +3n](https://tex.z-dn.net/?f=f%5Bn%5D%20%3D%204%20%2B3n)
therefore, the function for the given sequence for all integers
is; ![f[n] = 4 +3n](https://tex.z-dn.net/?f=f%5Bn%5D%20%3D%204%20%2B3n)