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Hello!
What am i doing with my life?
Answer:
![y = 13.72 \times (1.4)^x](https://tex.z-dn.net/?f=y%20%3D%2013.72%20%5Ctimes%20%281.4%29%5Ex)
Step-by-step explanation:
The general exponential equation is written as,
![y=a.b^x](https://tex.z-dn.net/?f=y%3Da.b%5Ex)
We can consider two of the points to find the values of 'a' and 'b'. Let us consider the points (-3, 5) and (5, 72)
Putting (-3, 5) in the general equation we get,
.................. (i)
Putting (5, 72) in the general equation we get,
...................(ii)
Dividing equation (ii) by (i) we get,
![14.4 = b^{5-(-3)}=b^8](https://tex.z-dn.net/?f=14.4%20%3D%20b%5E%7B5-%28-3%29%7D%3Db%5E8)
Solving for 'b', we get,
![b=1.4](https://tex.z-dn.net/?f=b%3D1.4)
Putting the value of 'b' in equation (i) we can find the value of 'a'
![5=a.(1.4)^{-3}](https://tex.z-dn.net/?f=5%3Da.%281.4%29%5E%7B-3%7D)
![a=\frac{5}{(1.4)^{-3}} =5 \times (1.4)^3= 5 \times 2.744](https://tex.z-dn.net/?f=a%3D%5Cfrac%7B5%7D%7B%281.4%29%5E%7B-3%7D%7D%20%3D5%20%5Ctimes%20%281.4%29%5E3%3D%205%20%5Ctimes%202.744)
![a = 13.72](https://tex.z-dn.net/?f=a%20%3D%2013.72)
So the exponential model of best fit is,
![y = 13.72 \times (1.4)^x](https://tex.z-dn.net/?f=y%20%3D%2013.72%20%5Ctimes%20%281.4%29%5Ex)
Answer:
h(t) = -3 + 1.5t
Step-by-step explanation:
Well, the temperature starts at -3, so that will be the y intercept. 1.5 is the rate, so that will be the slope.
h(t) = -3 + 1.5t
Answer:
x+88=180(sum of interior angle of cyclic quadrilateral is 180)
x=180-88=93 is your answer
Answer:
c+3<22
Step-by-step explanation:
c+3<22