X equal to 6 plus 1 by 3 which is 19 by 3 is the answer which is also a improper fraction
Answer:
The table doesn't display a linear relationship because the slope doesn't stay constant throughout the whole table.
Given:
Selling price of a fan = Rs.4700
Loss percent = 6%
To find:
The price at which he must sell it to gain 6 percentage.
Solution:
Let x be the cost price of the fan.
Loss percent = 6%
Selling price = Cost price - 6% of cost price
![S.P.=x-\dfrac{6}{100}x](https://tex.z-dn.net/?f=S.P.%3Dx-%5Cdfrac%7B6%7D%7B100%7Dx)
![S.P.=x-0.06x](https://tex.z-dn.net/?f=S.P.%3Dx-0.06x)
![S.P.=0.94x](https://tex.z-dn.net/?f=S.P.%3D0.94x)
Selling price of a fan = Rs.4700
![4700=0.94x](https://tex.z-dn.net/?f=4700%3D0.94x)
![\dfrac{4700}{0.94}=x](https://tex.z-dn.net/?f=%5Cdfrac%7B4700%7D%7B0.94%7D%3Dx)
![5000=x](https://tex.z-dn.net/?f=5000%3Dx)
So, the cost price of the fan is Rs.5000.
Now, he need to sell this fan in 6% gain.
Selling price = Cost price + 6% of cost price
![S.P.=5000+\dfrac{6}{100}\times 5000](https://tex.z-dn.net/?f=S.P.%3D5000%2B%5Cdfrac%7B6%7D%7B100%7D%5Ctimes%205000)
![S.P.=5000+300](https://tex.z-dn.net/?f=S.P.%3D5000%2B300)
![S.P.=5300](https://tex.z-dn.net/?f=S.P.%3D5300)
Therefore, he must sell it for Rs.5300 to gain 6 percentage.
Answer:
see explanation
Step-by-step explanation:
(h + k)(x) = h(x) + k(x), thus
h(x) + k(x)
= x² + 1 + x - 2 = x² + x - 1 , then
(h + k)(2) = 2² + 2 - 1 = 4 + 2 - 1 = 5
----------------------------------------------------
(h - k)(x) = h(x) - k(x), thus
h(x) - k(x)
= x² + 1 - (x - 2) = x² + 1 - x + 2 = x² - x + 3, then
(h - k)(3) = 3² - 3 + 3 = 9 - 3 + 3 = 9
-----------------------------------------------------
h(2) = 2² + 1 = 4 + 1 = 5
k(3) = 3 - 2 = 1
Thus
3h(2) + 2k(3)
= 3(5) + 2(1) = 15 + 2 = 17