<span>-4x +2y =24
<u>x-intercept
</u>y=0, -4x =24, x= - 6
<u>
(</u>-6,0)
<u>y-intercept</u>
x=0, 2y=24, y=12
(0, 12)</span>
<em>Rearrange unknown terms to the left side of the equation</em>
![\boldsymbol{\sf{ 9x > 50.4-9 \ \ \longmapsto \ \ \ [Subtract]}}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B%20%209x%20%3E%2050.4-9%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20%5C%20%5BSubtract%5D%7D%7D)
<em>Calculate the sum or difference.</em>
![\boldsymbol{\sf{9x > 41.4 }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B9x%20%3E%2041.4%20%7D%7D)
<em>Convert decimal to fraction.</em>
![\boldsymbol{\sf{9x > \dfrac{414}{10} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7B9x%20%3E%20%5Cdfrac%7B414%7D%7B10%7D%20%20%7D%7D)
<em>Reduce the greatest common factor for both sides of the inequality.</em>
<em> </em>![\boldsymbol{\sf{x > \dfrac{46}{10} }}](https://tex.z-dn.net/?f=%5Cboldsymbol%7B%5Csf%7Bx%20%3E%20%5Cdfrac%7B46%7D%7B10%7D%20%20%7D%7D)
<em>Reduce the fraction</em>
![\red{ \boxed{\boldsymbol{\sf{\blue{ Answer \ \ \longmapsto \ \ x > \dfrac{23}{5} }}}}}](https://tex.z-dn.net/?f=%5Cred%7B%20%5Cboxed%7B%5Cboldsymbol%7B%5Csf%7B%5Cblue%7B%20Answer%20%5C%20%5C%20%5Clongmapsto%20%5C%20%5C%20x%20%3E%20%5Cdfrac%7B23%7D%7B5%7D%20%20%7D%7D%7D%7D%7D)
Perimeter of the shape is 2(AB) + 2(BC)
AB = sqrt((7 - 5)^2 + (3 - 5)^2) = sqrt(2^2 + (-2)^2) = sqrt(4 + 4) = sqrt(8) = 2.83
BC = sqrt((3 - 7)^2 + (0 - 3)^2) = sqrt((-4)^2 + (-3)^2) = sqrt(16 + 9) = sqrt(25) = 5
Perimeter = 2(AB) + 2(BC) = 2(2.83) + 2(5) = 5.66 + 10 = 15.7
Answer:
The amount of VAT paid by Jeremy is €9.31.
Step-by-step explanation:
Given;
Total Amount paid by Jeremy = €58.31.
VAT = 19 %
We need to find the VAT amount paid by Jeremy.
Let the Actual amount of calculator be x
VAT Amount = ![19\% \times x=\frac{19}{100}x=0.19x](https://tex.z-dn.net/?f=19%5C%25%20%5Ctimes%20x%3D%5Cfrac%7B19%7D%7B100%7Dx%3D0.19x)
Hence Total amount will be equal to actual price plus VAT amount.
![x+0.19x=58.31\\1.19x=58.31\\x=\frac{58.31}{1.19} = 49](https://tex.z-dn.net/?f=x%2B0.19x%3D58.31%5C%5C1.19x%3D58.31%5C%5Cx%3D%5Cfrac%7B58.31%7D%7B1.19%7D%20%3D%2049)
Hence the Actual amount of calculator is €49.
Now VAT amount = ![0.19x=0.19\times 49= 9.31](https://tex.z-dn.net/?f=0.19x%3D0.19%5Ctimes%2049%3D%209.31)
Hence, the amount of VAT paid by Jeremy is €9.31.