<span>x 2 3 4
f(x) 5.5 7 8.5 </span>
The first function is linear. When you subtract 5.5 from 7, you get 1.5 and when you subtract 7 from 8.5 you also get 1.5. That's how we know it's a linear function because there's clearly pattern. HOWEVER, if you had 5.5, 7, and 9 that would not be a linear function. Why? Because when you take away 7 from 9 you get 2. In order for it to be a linear function you have to get the same exact number when you subtract.
<span>x 0 3 6
f(x) 1 8 64</span>
The second function is exponential because when you divide you get the exact same number. 8/1 = 8 and 64/8 = 8. So this is exponential. But if you had 72 instead of 64 it would not be an exponential function because there has to be a pattern.
I hope this makes sense. Btw I had this question on my test too and this is correct.
Answer:
Step-by-step explanation:
I assume that the three points given are the vertices of the triangle. So the three points are:
A (-4,1)
B (-7,5)
C (0,1)
The area of a triangle is given by:
where b is the base and h is the height.
Here we can take as follows:
- We can take the base to be the side AC, so that its length is equal to the distance between the two points:
- The height of the triangle is therefore the perpendicular distance between AC and point B. This is equivalent the difference in the x-coordinate between any point on AC and B, so:
Therefore, the area of the triangle is:
Using exponential function concepts, it is found that the second function has a greater rate, as 0.8 > 0.2.
<h3>What is an exponential function?</h3>
It is modeled by:
In which:
- a is the initial value, that is, y when x = 0.
- b is the rate of change, as a decimal.
Function 1 is given by:
Hence the rate is b = 0.2.
Considering the values on the table, function 2 is given by:
Hence the rate is b = 0.8.
Hence, the second function has a greater rate, as 0.8 > 0.2.
More can be learned about exponential function concepts at brainly.com/question/14398287
If the line is linear, a straight line, both should get the same answer. All the points on the line have the same ratio. So when they both solve for the slope, they will get the same answer.
Answer:
-6 = n
Step-by-step explanation:
-6=2n-n
Combine like terms
-6 = n