Answer:
k = - 20
Step-by-step explanation:
Letter C
The - 3 at the end of the function means the function is shifted down 3 units. This also shifts the asymptote down 3 units.
Answer:
The answer in the explanation
Step-by-step explanation:
we have
![\frac{1}{3}x-5=\frac{5}{2}x-\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7Dx-5%3D%5Cfrac%7B5%7D%7B2%7Dx-%5Cfrac%7B2%7D%7B3%7D)
Step 1
Determine the least common denominator (LCD) of all fractions in the equation
The LCD is equal to
![(3)(2)=6](https://tex.z-dn.net/?f=%283%29%282%29%3D6)
Step 2
Multiply both sides of the equation by 6 to remove the fractions
![6[\frac{1}{3}x-5]=6[\frac{5}{2}x-\frac{2}{3}]](https://tex.z-dn.net/?f=6%5B%5Cfrac%7B1%7D%7B3%7Dx-5%5D%3D6%5B%5Cfrac%7B5%7D%7B2%7Dx-%5Cfrac%7B2%7D%7B3%7D%5D)
![2x-30=15x-4](https://tex.z-dn.net/?f=2x-30%3D15x-4)
Step 3
Solve for x
Group terms
![15x-2x=-30+4](https://tex.z-dn.net/?f=15x-2x%3D-30%2B4)
Combine like terms
![13x=-26](https://tex.z-dn.net/?f=13x%3D-26)
![x=-2](https://tex.z-dn.net/?f=x%3D-2)
Answer:
![F(x) = \int f(x) dx = \int (x + 3)dx = \frac{1}{2}x^2 + 3x + c](https://tex.z-dn.net/?f=F%28x%29%20%3D%20%5Cint%20f%28x%29%20dx%20%3D%20%5Cint%20%28x%20%2B%203%29dx%20%3D%20%5Cfrac%7B1%7D%7B2%7Dx%5E2%20%2B%203x%20%2B%20c)
Step-by-step explanation:
Prime factorization of 2·5·2=2^2·5