Answer:
x= 8.4
Step-by-step explanation:
y=0.8
4x + 8y =40
4x + ( 8 x 0.8) = 40
4x + (6.4) =40
4x = 40 - 6.4
4x = 33.6
x = 8.4
i) The given function is
![f(x)=\frac{x-5}{2x^2-5x-3}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Bx-5%7D%7B2x%5E2-5x-3%7D)
The factored form is
![f(x)=\frac{x-5}{(x-3)(2x+1)}](https://tex.z-dn.net/?f=f%28x%29%3D%5Cfrac%7Bx-5%7D%7B%28x-3%29%282x%2B1%29%7D)
The domain are the values of x for which the function is defined.
![(x-3)(2x+1)\ne 0](https://tex.z-dn.net/?f=%28x-3%29%282x%2B1%29%5Cne%200)
![(x-3)\ne0,(2x+1)\ne 0](https://tex.z-dn.net/?f=%28x-3%29%5Cne0%2C%282x%2B1%29%5Cne%200)
![x\ne3,x\ne-\frac{1}{2}](https://tex.z-dn.net/?f=x%5Cne3%2Cx%5Cne-%5Cfrac%7B1%7D%7B2%7D)
ii) To find the vertical asymptotes, equate the denominator to zero.
![(x-3)(2x+1)=0](https://tex.z-dn.net/?f=%28x-3%29%282x%2B1%29%3D0)
![(x-3)=\ne0,(2x+1)=0](https://tex.z-dn.net/?f=%28x-3%29%3D%5Cne0%2C%282x%2B1%29%3D0)
![x=3,x=-\frac{1}{2}](https://tex.z-dn.net/?f=x%3D3%2Cx%3D-%5Cfrac%7B1%7D%7B2%7D)
iii) To find the roots, equate the numerator to zero.
![x-5=0](https://tex.z-dn.net/?f=x-5%3D0)
The root is ![x=5](https://tex.z-dn.net/?f=x%3D5)
iv) To find the y-intercept, put
into the function.
![f(0)=\frac{0-5}{(0-3)(2(0)+1)}](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B0-5%7D%7B%280-3%29%282%280%29%2B1%29%7D)
![f(0)=\frac{-5}{(-3)(1)}](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B-5%7D%7B%28-3%29%281%29%7D)
![f(0)=\frac{5}{3}](https://tex.z-dn.net/?f=f%280%29%3D%5Cfrac%7B5%7D%7B3%7D)
The y-intercept is ![\frac{5}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B5%7D%7B3%7D)
v) The horizontal asymptote is given by;
![lim_{x\to \infty}\frac{x-5}{2x^2-5x-3}=0](https://tex.z-dn.net/?f=lim_%7Bx%5Cto%20%5Cinfty%7D%5Cfrac%7Bx-5%7D%7B2x%5E2-5x-3%7D%3D0)
The horizontal asymptote is ![y=0](https://tex.z-dn.net/?f=y%3D0)
vi) The function is not reducible. There are no holes.
vii) The given function is a proper rational function.
Proper rational functions do not have oblique asymptotes.
Answer:
The pages that would be printed in one minute would be 27
Answer:
The answer is 106 degrees
Step-by-step explanation:
Answer:
20/12 = 1 8/12 = 1 2/3
Step-by-step explanation: