Since he has to give 50, and 12.25*p is the amount of money he has to spend (since it's 12.25 per pizza), we have 50-12.25=change
Answer:
Step-by-step explanation:
let f(x)=y
![y=(x+1)^{3} -5\\flip ~x~and~y\\x=(y+1)^{3}-5\\(y+1)^{3}=x+5\\y=(x+5)^{\frac{1}{3} } -1\\or~f^{-1}(x)=(x+5)^{\frac{1}{3} } -1\\(f^{-1})'(x)=\frac{1}{3} (x+5)^{\frac{-2}{3} }](https://tex.z-dn.net/?f=y%3D%28x%2B1%29%5E%7B3%7D%20-5%5C%5Cflip%20~x~and~y%5C%5Cx%3D%28y%2B1%29%5E%7B3%7D-5%5C%5C%28y%2B1%29%5E%7B3%7D%3Dx%2B5%5C%5Cy%3D%28x%2B5%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20-1%5C%5Cor~f%5E%7B-1%7D%28x%29%3D%28x%2B5%29%5E%7B%5Cfrac%7B1%7D%7B3%7D%20%7D%20-1%5C%5C%28f%5E%7B-1%7D%29%27%28x%29%3D%5Cfrac%7B1%7D%7B3%7D%20%28x%2B5%29%5E%7B%5Cfrac%7B-2%7D%7B3%7D%20%7D)
The answer is 5 divided by 1/3
Take the vector u = <ux, uy> = <4, 3>.
Find the magnitude of u:
||u|| = sqrt[ (ux)^2 + (uy)^2]
||u|| = sqrt[ 4^2 + 3^2 ]
||u|| = sqrt[ 16 + 9 ]
||u|| = sqrt[ 25 ]
||u|| = 5
To find the unit vector in the direction of u, and also with the same sign, just divide each coordinate of u by ||u||. So the vector you are looking for is
u/||u||
u * (1/||u||)
= <4, 3> * (1/5)
= <4/5, 3/5>
and there it is.
Writing it in component form:
= (4/5) * i + (3/5) * j
I hope this helps. =)