Answer:
The number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
Step-by-step explanation:
We know that when a number let say 'n' get multiplied by '1', it remains unchanged.
i.e.
The number '1' is called the 'multiplicative identity' of a number 'n' because it does not change the number 'n' after getting multiplied by it.
Given the number
-12/13
Multiply the number '-12/13' by '1'.
i.e.
-12/13 × 1 = -12/13
1 × -12/13 = -12/13
Thus, the number '1' is called the 'multiplicative identity' of a number '-12/13' because it does not change the number '-12/13' after getting multiplied by it.
Therefore, option (B) is true.
Step-by-step explanation:
eqn of line : y = mx+ c
m = slope or gradient
c = y-intercept.
Lets take (1,6) = (x1,y1) and (2,3) = (x2,y2)
![m \: = \frac{y1 - y2}{x1 - x2} \\ = \frac{6 - 3}{1 - 2} \\ = \frac{3}{ - 1} \\ = - 3](https://tex.z-dn.net/?f=m%20%5C%3A%20%20%3D%20%20%5Cfrac%7By1%20-%20y2%7D%7Bx1%20-%20x2%7D%20%20%5C%5C%20%20%3D%20%20%5Cfrac%7B6%20-%203%7D%7B1%20-%202%7D%20%20%5C%5C%20%3D%20%20%5Cfrac%7B3%7D%7B%20-%201%7D%20%20%5C%5C%20%20%3D%20%20-%203)
Substitute x = 1 and y = 6 into equation,
![6 = ( - 3)(1) + c \\ 6 = - 3 + c \\ c = 6 + 3 \\ = 9](https://tex.z-dn.net/?f=6%20%3D%20%28%20-%203%29%281%29%20%2B%20c%20%5C%5C%206%20%3D%20%20-%203%20%2B%20c%20%5C%5C%20c%20%3D%206%20%2B%203%20%5C%5C%20%20%3D%209)
Therefore substituting m and c value, equation of line is
![y = - 3x + 9](https://tex.z-dn.net/?f=y%20%3D%20%20-%203x%20%2B%209)
Answer:
The percent price reduction was 15.83%
Step-by-step explanation:
we know that
In this problem
$379 represent the 100%
so
using proportion
Find out what percentage represent the difference between the original price and the final price
![\frac{\$379}{100\%}=\frac{\$379-\$319}{x}\\\\x=100(60)/379\\\\x=15.83\%](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%24379%7D%7B100%5C%25%7D%3D%5Cfrac%7B%5C%24379-%5C%24319%7D%7Bx%7D%5C%5C%5C%5Cx%3D100%2860%29%2F379%5C%5C%5C%5Cx%3D15.83%5C%25)
Answer:
56%
Step-by-step explanation:
Reducing the picture by 80% and then by 70% gives a reduction of 56%
70% of 80 = 0.7 × 80 = 56%