Answer:
7/23
Step-by-step explanation:
First you make it an improper fraction, which gets you 23/7. Then to find the reciprocal, you simply flip it over. Therefore you get 7/23.
There you go! Have a nice day. Mark brainliest if possible please ;)
![(g-f)(x) = -x^2-5x-5](https://tex.z-dn.net/?f=%28g-f%29%28x%29%20%3D%20-x%5E2-5x-5)
Step-by-step explanation:
Given functions are:
![f(x) = x^2+6x-2\\g(x) = x-7\\h(x) = x+4](https://tex.z-dn.net/?f=f%28x%29%20%3D%20x%5E2%2B6x-2%5C%5Cg%28x%29%20%3D%20x-7%5C%5Ch%28x%29%20%3D%20x%2B4)
The operations on functions can be performed just as they are performed on polynomials
So
![(g-f)(x)=g(x)-f(x)\\=(x-7)-(x^2+6x-2)\\=x-7-x^2-6x+2\\](https://tex.z-dn.net/?f=%28g-f%29%28x%29%3Dg%28x%29-f%28x%29%5C%5C%3D%28x-7%29-%28x%5E2%2B6x-2%29%5C%5C%3Dx-7-x%5E2-6x%2B2%5C%5C)
Combining like terms
![=-x^2+x-6x-7+2\\=-x^2-5x-5](https://tex.z-dn.net/?f=%3D-x%5E2%2Bx-6x-7%2B2%5C%5C%3D-x%5E2-5x-5)
Hence,
![(g-f)(x) = -x^2-5x-5](https://tex.z-dn.net/?f=%28g-f%29%28x%29%20%3D%20-x%5E2-5x-5)
Keywords: Functions
Learn more about functions at:
#LearnwithBrainly
Answer:
19.95
Step-by-step explanation:
This is one of those questions that are a must do. The process is called estimation and if you follow it carefully, you learn a lot.
Round 19.95 to 20
Round 12.95 to 13 dollars. You get 15% off. which is about (1.50 + 0.75 = 2.25)
This the 10 pound bag down to 13 - 2.25 = 10.75. This is higher than 1 dollar per pound.
20 pounds for 20 dollars = 1 dollar per pound.