The table models an exponential relationship, and the equation of the table is ![y = 4(1/2)^x](https://tex.z-dn.net/?f=y%20%3D%204%281%2F2%29%5Ex)
<h3>How to analyze the table of values?</h3>
The table of values is given as:
x 0 1 2 3 4
y 4 2 1 1/2 1/4
The above table shows an exponential model
An exponential model is represented as:
![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
When x = 0 and y = 4, we have
![ab^0 = 4](https://tex.z-dn.net/?f=ab%5E0%20%3D%204)
Evaluate
a = 4
When x = 1 and y = 2, we have
![ab^1 = 2](https://tex.z-dn.net/?f=ab%5E1%20%20%3D%202)
Evaluate
![ab = 2](https://tex.z-dn.net/?f=ab%20%20%3D%202)
Substitute 4 for a
4b = 2
Divide both sides by 4
b = 1/2
Substitute 4 for a and 1/2 for b in ![y = ab^x](https://tex.z-dn.net/?f=y%20%3D%20ab%5Ex)
![y = 4(1/2)^x](https://tex.z-dn.net/?f=y%20%3D%204%281%2F2%29%5Ex)
Hence, the equation of the table is ![y = 4(1/2)^x](https://tex.z-dn.net/?f=y%20%3D%204%281%2F2%29%5Ex)
Read more about exponential models at:
brainly.com/question/11464095
#SPJ1
Answer:
Step-by-step explanation:
Use the slope formula
(x2-x1)/(y2/y1)
substitute the values
(1-10)/(9-7)
solve
-9/-2
simplify
9/2 or 4.5
(x+4) / 44.8 = 35 / 56
56(x+4) = 35(44.8)
56x + 224 = 1568
56x = 1344
x = 24
answer
x = 24 mm
Answer:
![\boxed{x = 4}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%20%3D%204%7D)
Step-by-step explanation:
If ΔABC ~ ΔDEF
Then their sides must be proportional such that:
=> ![\frac{x}{3} = \frac{8}{6}](https://tex.z-dn.net/?f=%5Cfrac%7Bx%7D%7B3%7D%20%3D%20%5Cfrac%7B8%7D%7B6%7D)
Cross Multiplying
=> x * 6 = 8*3
=> 6x = 24
Dividing both sides by 6
=> x = 4