If a company changes from full-cost pricing to variable cost pricing but retains the same markup percentage, their net income will likely increase. Although variable cost pricing is risky since the price will be dependent on the other factors of the product.
Answer:66
Step-by-step explanation:
62+64+66+68=260
let's firstly find the equation of the parabola, bearing in mind that x-intercepts or solutions/zeros/roots means y = 0.
![\bf ~~~~~~\textit{vertical parabola vertex form} \\\\ y=a(x- h)^2+ k\qquad \begin{cases} \stackrel{vertex}{(h,k)} \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=1\\ k=-9 \end{cases}\implies y=a(x-1)^2-9 \\\\\\ \textit{we also know that } \begin{cases} x=0\\ y=-6 \end{cases}\implies -6=a(0-1)^2-9\implies 3=a(-1)^2](https://tex.z-dn.net/?f=%5Cbf%20~~~~~~%5Ctextit%7Bvertical%20parabola%20vertex%20form%7D%20%5C%5C%5C%5C%20y%3Da%28x-%20h%29%5E2%2B%20k%5Cqquad%20%5Cbegin%7Bcases%7D%20%5Cstackrel%7Bvertex%7D%7B%28h%2Ck%29%7D%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D%5C%5C%5C%5C%20%5Cbegin%7Bcases%7D%20h%3D1%5C%5C%20k%3D-9%20%5Cend%7Bcases%7D%5Cimplies%20y%3Da%28x-1%29%5E2-9%20%5C%5C%5C%5C%5C%5C%20%5Ctextit%7Bwe%20also%20know%20that%20%7D%20%5Cbegin%7Bcases%7D%20x%3D0%5C%5C%20y%3D-6%20%5Cend%7Bcases%7D%5Cimplies%20-6%3Da%280-1%29%5E2-9%5Cimplies%203%3Da%28-1%29%5E2)
![\bf 3=a\qquad \qquad \textit{therefore}\qquad \qquad \boxed{y=3(x-1)^2-9} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{y}{0}=3(x-1)^2-9\implies 9=3(x-1)^2\implies \cfrac{9}{3}=(x-1)^2\implies 3=(x-1)^2 \\\\\\ \pm\sqrt{3}=x-1\implies \pm\sqrt{3}+1=x\implies x= \begin{cases} \sqrt{3}+1\\ -\sqrt{3}+1 \end{cases}\implies x\approx \begin{cases} 2.73\\ -0.73 \end{cases}](https://tex.z-dn.net/?f=%5Cbf%203%3Da%5Cqquad%20%5Cqquad%20%5Ctextit%7Btherefore%7D%5Cqquad%20%5Cqquad%20%5Cboxed%7By%3D3%28x-1%29%5E2-9%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Cstackrel%7By%7D%7B0%7D%3D3%28x-1%29%5E2-9%5Cimplies%209%3D3%28x-1%29%5E2%5Cimplies%20%5Ccfrac%7B9%7D%7B3%7D%3D%28x-1%29%5E2%5Cimplies%203%3D%28x-1%29%5E2%20%5C%5C%5C%5C%5C%5C%20%5Cpm%5Csqrt%7B3%7D%3Dx-1%5Cimplies%20%5Cpm%5Csqrt%7B3%7D%2B1%3Dx%5Cimplies%20x%3D%20%5Cbegin%7Bcases%7D%20%5Csqrt%7B3%7D%2B1%5C%5C%20-%5Csqrt%7B3%7D%2B1%20%5Cend%7Bcases%7D%5Cimplies%20x%5Capprox%20%5Cbegin%7Bcases%7D%202.73%5C%5C%20-0.73%20%5Cend%7Bcases%7D)
A is the answer :)
Since we are given z = 8, finding y is simple.
By replacing the z in y + z = 11, we can see that y = 3
After finding these two, x can be found
