Answer: Vertical line x = 1
<u>Step-by-step explanation:</u>
(1, 1) (1, 2) (1, 3) (1, 4)
Notice that the x-value for each coordinate is 1.
The line is a vertical line (up & down) through x = 1
Answer:
(2/3)³
2³/3³
2³ × 3^(-3)
Step-by-step explanation:
Answer:
Option D, ![x > 6](https://tex.z-dn.net/?f=x%20%3E%206)
Step-by-step explanation:
<u>Step 1: Subtract 8 from both sides
</u>
<u />![x + 8 > 14](https://tex.z-dn.net/?f=x%20%2B%208%20%3E%2014)
![x + 8 - 8 > 14 - 8](https://tex.z-dn.net/?f=x%20%2B%208%20-%208%20%3E%2014%20-%208)
![x > 6](https://tex.z-dn.net/?f=x%20%3E%206)
Answer: Option D, ![x > 6](https://tex.z-dn.net/?f=x%20%3E%206)
Given:
The values are
.
To find:
The values of
and
.
Solution:
We have,
![a=0.\overline{6}](https://tex.z-dn.net/?f=a%3D0.%5Coverline%7B6%7D)
...(i)
Multiply both sides by 10.
...(ii)
Subtracting (i) from (ii), we get
![10a-a=6.666...-0.666...](https://tex.z-dn.net/?f=10a-a%3D6.666...-0.666...)
![9a=6](https://tex.z-dn.net/?f=9a%3D6)
![a=\dfrac{6}{9}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B6%7D%7B9%7D)
![a=\dfrac{2}{3}](https://tex.z-dn.net/?f=a%3D%5Cdfrac%7B2%7D%7B3%7D)
And,
![b=0.75](https://tex.z-dn.net/?f=b%3D0.75)
![b=\dfrac{75}{100}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B75%7D%7B100%7D)
![b=\dfrac{3}{4}](https://tex.z-dn.net/?f=b%3D%5Cdfrac%7B3%7D%7B4%7D)
Now, the product of a and b is:
![ab=\dfrac{2}{3}\times \dfrac{3}{4}](https://tex.z-dn.net/?f=ab%3D%5Cdfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B3%7D%7B4%7D)
![ab=\dfrac{1}{2}](https://tex.z-dn.net/?f=ab%3D%5Cdfrac%7B1%7D%7B2%7D)
The quotient of a and b is:
![\dfrac{a}{b}=\dfrac{\dfrac{2}{3}}{\dfrac{3}{4}}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cdfrac%7B%5Cdfrac%7B2%7D%7B3%7D%7D%7B%5Cdfrac%7B3%7D%7B4%7D%7D)
![\dfrac{a}{b}=\dfrac{2}{3}\times \dfrac{4}{3}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cdfrac%7B2%7D%7B3%7D%5Ctimes%20%5Cdfrac%7B4%7D%7B3%7D)
![\dfrac{a}{b}=\dfrac{8}{9}](https://tex.z-dn.net/?f=%5Cdfrac%7Ba%7D%7Bb%7D%3D%5Cdfrac%7B8%7D%7B9%7D)
Therefore, the required values are
and
.