Answer:
3x - 8
Step-by-step explanation:
the factors of the following equation
are:
![(3x - 8)(3x + 8)](https://tex.z-dn.net/?f=%283x%20-%208%29%283x%20%2B%208%29)
If you look the equation you can notice that you don´t have a term like -48x or 48x, so the factors must have a positive and negative sign.
Remember first you need to multiply each segment and finally add.
= ![9x^{2} - 64 =](https://tex.z-dn.net/?f=9x%5E%7B2%7D%20%20-%2064%20%3D)
Answer:
loss.
Step-by-step explanation:
![7600 \times (1+10\%)](https://tex.z-dn.net/?f=7600%20%5Ctimes%20%281%2B10%5C%25%29)
![7600 \times 1.1=8360](https://tex.z-dn.net/?f=7600%20%5Ctimes%201.1%3D8360)
![8000 \times (1+10\%)](https://tex.z-dn.net/?f=8000%20%5Ctimes%20%281%2B10%5C%25%29)
![8000 \times 1.1=8800](https://tex.z-dn.net/?f=8000%20%5Ctimes%201.1%3D8800)
His loss is Rs 440.
![\frac{440 \times 100}{8800}](https://tex.z-dn.net/?f=%5Cfrac%7B440%20%5Ctimes%20100%7D%7B8800%7D)
![=5](https://tex.z-dn.net/?f=%3D5)
Answer: a) -2,1 , 0,1 , 2,1
b) C
Step-by-step explanation:
Answer:
Left-Most Box:
![3\div 8\text{ and } \frac{1}{8}\text{ of } 3](https://tex.z-dn.net/?f=3%5Cdiv%208%5Ctext%7B%20and%20%7D%20%5Cfrac%7B1%7D%7B8%7D%5Ctext%7B%20of%20%7D%203)
Middle Box:
![=\frac{1}{3}\text{ of } 8\text{ and } =\frac{1}{3}\times 8](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Ctext%7B%20of%20%7D%208%5Ctext%7B%20and%20%7D%20%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%208)
Right-Most Box:
![8+\frac{1}{3}\text{ and } 8\times 3](https://tex.z-dn.net/?f=8%2B%5Cfrac%7B1%7D%7B3%7D%5Ctext%7B%20and%20%7D%208%5Ctimes%203)
Step-by-step explanation:
We know that 3 pounds of soil fills 8 flower pots.
Using this, we can find our answers to different questions.
Question 1:
We want to know how many pots of soil will fill 1 flower pot.
We know that 3 pounds of soil fills 8 pots. So, to find the amount of soil that fills 1 pot, we can divide 3 by 8:
![3\div 8](https://tex.z-dn.net/?f=3%5Cdiv%208)
This is the same as multiplying by a fraction. Namely, is it also 1/8 of 3:
![=\frac{1}{8}\text{ of } 3](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B8%7D%5Ctext%7B%20of%20%7D%203)
And these are all the choices for the first question.
Question 2:
We want to know how many pots we can fill with 1 pound of soil.
To find this, we can divide 8 pots by 3 to get the unit rate of pots to soil. So:
![8\div3](https://tex.z-dn.net/?f=8%5Cdiv3)
This is the same as 1/3 of 8:
![=\frac{1}{3}\text{ of } 8](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Ctext%7B%20of%20%7D%208)
Which is the same as 1/3 multiplied by 8:
![=\frac{1}{3}\times 8](https://tex.z-dn.net/?f=%3D%5Cfrac%7B1%7D%7B3%7D%5Ctimes%208)
And these are all of the possible choices.
Question 3:
The two remaining ones,
![8+\frac{1}{3}\text{ and } 8\times 3](https://tex.z-dn.net/?f=8%2B%5Cfrac%7B1%7D%7B3%7D%5Ctext%7B%20and%20%7D%208%5Ctimes%203)
Will go here.