About eight pounds.
You divide 20 by 5, which is four. You then multiply 4 by the amount of pounds (2).
Hope that helps
Answer:
29/9 0.3103 terminating
Step-by-step explanation:
Answer:
fist one is 36 and the second one is 238
Step-by-step explanation:
to find volume multiple length times width times height though in this case you only need to multiple two numbers to get the answer
Answer:
y = 3x + 4
Step-by-step explanation:
✔️First, find the slope using any two given pairs form the table, say (2, 10) and (5, 19):
Slope (m) = ∆y/∆x = (19 - 10) / (5 - 2) = 9/3
m = 3
✔️Find y-intercept (b) by substituting (x, y) = (2, 10) and m = 3 into y = mx + b
10 = 3(2) + b
10 = 6 + b
10 - 6 = b
4 = b
b = 4
✔️Write the equation by substituing m = 3 and b = 4 into y = mx + b
y = 3x + 4
Answer:
![\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex)
Step-by-step explanation:
<u>Exponential Function</u>
The exponential function can be written with the general equation:
![f(x)=A\cdot r^x](https://tex.z-dn.net/?f=f%28x%29%3DA%5Ccdot%20r%5Ex)
Where A is the value when x=0 and r>0 is the ratio. If r is greater than 1, the function is increasing, if r is less than 1, the function is decreasing.
The table shows the relation between values of x and values of the function y. Note that as x increases (one by one), y decreases with a ratio of 1/2. Only the last two choices have ratios of r=1/2. We only have to test which one of them has the correct value of y=4 when x=0.
Substituting in the third function:
![\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex)
![\displaystyle f(0)=4\cdot\left(\frac{1}{2}\right)^0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%280%29%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E0)
![f(0) = 4](https://tex.z-dn.net/?f=f%280%29%20%3D%204)
This gives the correct value of f(0)=4.
Substituting in the fourth function:
![\displaystyle f(x)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^x](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%28x%29%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex)
![\displaystyle f(0)=\frac{1}{2}\cdot\left(\frac{1}{2}\right)^0](https://tex.z-dn.net/?f=%5Cdisplaystyle%20f%280%29%3D%5Cfrac%7B1%7D%7B2%7D%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5E0)
![f(0) = \frac{1}{2}](https://tex.z-dn.net/?f=f%280%29%20%3D%20%5Cfrac%7B1%7D%7B2%7D)
This choice is wrong
Correct choice:
![\boxed{\displaystyle f(x)=4\cdot\left(\frac{1}{2}\right)^x}](https://tex.z-dn.net/?f=%5Cboxed%7B%5Cdisplaystyle%20f%28x%29%3D4%5Ccdot%5Cleft%28%5Cfrac%7B1%7D%7B2%7D%5Cright%29%5Ex%7D)