The factors of 891 are 1,3,9,11,27,33,81,99,297,891
Because
1 x 891,
3 x 297,
9 x 99,
11 x 81,
27 x 33,
Hope I can help you :)
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)
Answer:
7
Step-by-step explanation:
Set up a proportion
12 cookies / 2 cups = 42 cookies / x Notice that cookies are on the top and cups are on the bottom of each proportion.
12/2 = 42/x Cross multiply
12x = 84 Divide by 12
x = 84/12
x = 7
He will need 7 cups to make 42 cookies.
Answer:
about 11 years
Step-by-step explanation:
Answer:
The next step is to use the compass to find the angle bisector for angle A.
Step-by-step explanation:
To construct a circle inscribed in a triangle we have following step of construction.
Step 1: To construct incenter.
Firstly, it is given that Alexa has partially completed the construction in which she constructs the angle bisector of B. Now, in order to construct incenter we need two angle bisectors and the intersection point of two angle bisector gives incenter.
Hence, her next step in the construction should be to draw one more angle bisector i.e use the compass to ind the angle bisector for angle A