Answer:
The value of f(0)=1
Step-by-step explanation:
We are given that
![f(x)=k](https://tex.z-dn.net/?f=f%28x%29%3Dk)
![y=f(x)](https://tex.z-dn.net/?f=y%3Df%28x%29)
(6,1) and (8,1) lies on the graph of y=f(x)
We have to find the value of f(0).
![f(6)=1](https://tex.z-dn.net/?f=f%286%29%3D1)
![f(8)=1](https://tex.z-dn.net/?f=f%288%29%3D1)
![f(x)=k](https://tex.z-dn.net/?f=f%28x%29%3Dk)
By comparing ,we get
k=1
Therefore, ![y=f(x)=1](https://tex.z-dn.net/?f=y%3Df%28x%29%3D1)
Now, substitute x=0
![f(0)=1](https://tex.z-dn.net/?f=f%280%29%3D1)
Hence, the value of f(0)=1
Answer:
The difference in weights =
pounds
Step-by-step explanation:
"DIFFERENCE" means to subtract their weights. We will subtract lesser amount from the greater amount to get our answer.
Also, we need to first make these mixed numbers into improper fractions by using the rule below:
If a number is given in this form:
![a\frac{b}{c}](https://tex.z-dn.net/?f=a%5Cfrac%7Bb%7D%7Bc%7D)
We can do the operation below to make it improper fraction:
![a\frac{b}{c}=\frac{(a*c)+b}{c}](https://tex.z-dn.net/?f=a%5Cfrac%7Bb%7D%7Bc%7D%3D%5Cfrac%7B%28a%2Ac%29%2Bb%7D%7Bc%7D)
The bigger number is
. So we subtract the other from this after changing to improper fraction.
![6\frac{1}{4}=\frac{(6*4)+1}{4}=\frac{25}{4}](https://tex.z-dn.net/?f=6%5Cfrac%7B1%7D%7B4%7D%3D%5Cfrac%7B%286%2A4%29%2B1%7D%7B4%7D%3D%5Cfrac%7B25%7D%7B4%7D)
and
![5\frac{9}{16}=\frac{(5*16)+9}{16}=\frac{89}{16}](https://tex.z-dn.net/?f=5%5Cfrac%7B9%7D%7B16%7D%3D%5Cfrac%7B%285%2A16%29%2B9%7D%7B16%7D%3D%5Cfrac%7B89%7D%7B16%7D)
Now, we subtract via doing LCM and get our answer:
![\frac{25}{4}-\frac{89}{16}\\=\frac{25(4)-89}{16}\\=\frac{100-89}{16}\\=\frac{11}{16}](https://tex.z-dn.net/?f=%5Cfrac%7B25%7D%7B4%7D-%5Cfrac%7B89%7D%7B16%7D%5C%5C%3D%5Cfrac%7B25%284%29-89%7D%7B16%7D%5C%5C%3D%5Cfrac%7B100-89%7D%7B16%7D%5C%5C%3D%5Cfrac%7B11%7D%7B16%7D)
The difference in weights =
pounds
Flip the bottom part after the "/" so you get ((x+3)/9)*(6/(x+12)) Cancel and multiply to get 2(x+3)/3(x+12) this is as simplified as it is going to get.
The answer should be C
(Hope this helps) :)
You use FOIL (first, outer, inner, last) to check your answer. Eg: (x-4)(x+3)then distribute by using FOIL to get 2 2
x +3x -4x -12 then simplify to get x -x -12