Answer:
-6 and 8
Step-by-step explanation:
-6 x 8 is -48 and -6 + 8 is 2
Answer:
Step-by-step explanation:
This is a linear equation of the form y = mx + b, where m is the rate of change and b is the y-intercept, also known as the value of y when x = 0. Our independent variable is the number of miles we travel, and we will call that x. If we pay .20 per mile, and miles is "x", we represent that as .20x. The 70 is the amount we will pay per day even if we drive 0 miles. Therefore, the equation is:
y = .20x + 70.
I cannot graph this for you here.
We can choose a number of miles, say 100, and solve for our cost:
y = .20(100) + 70
y = 20 + 70
y = 90
We can expect to pay $90 if we drive 100 miles in a day.
Check the picture below.
so the hyperbola looks more or less like so, is a hyperbola with a vertical traverse axis, with a = 4 and h = 0, k = 0.
![\bf \textit{hyperbolas, vertical traverse axis } \\\\ \cfrac{(y- k)^2}{ a^2}-\cfrac{(x- h)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h, k\pm a)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2 + b ^2}\\ asymptotes\quad y= k\pm \cfrac{a}{b}(x- h) \end{cases} \\\\[-0.35em] \rule{34em}{0.25pt}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bhyperbolas%2C%20vertical%20traverse%20axis%20%7D%20%5C%5C%5C%5C%20%5Ccfrac%7B%28y-%20k%29%5E2%7D%7B%20a%5E2%7D-%5Ccfrac%7B%28x-%20h%29%5E2%7D%7B%20b%5E2%7D%3D1%20%5Cqquad%20%5Cbegin%7Bcases%7D%20center%5C%20%28%20h%2C%20k%29%5C%5C%20vertices%5C%20%28%20h%2C%20k%5Cpm%20a%29%5C%5C%20c%3D%5Ctextit%7Bdistance%20from%7D%5C%5C%20%5Cqquad%20%5Ctextit%7Bcenter%20to%20foci%7D%5C%5C%20%5Cqquad%20%5Csqrt%7B%20a%20%5E2%20%2B%20b%20%5E2%7D%5C%5C%20asymptotes%5Cquad%20y%3D%20k%5Cpm%20%5Ccfrac%7Ba%7D%7Bb%7D%28x-%20h%29%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5B-0.35em%5D%20%5Crule%7B34em%7D%7B0.25pt%7D)
![\bf \stackrel{\textit{the asymptotes are}}{\pm\cfrac{2}{3}x}\implies \pm\cfrac{2}{3}x=k\pm \cfrac{a}{b}(x- h)~~ \begin{cases} h=0\\ k=0\\ a=4 \end{cases} \\\\\\ +\cfrac{2}{3}x=0+\cfrac{4}{b}(x-0)\implies \cfrac{2x}{3}=\cfrac{4x}{b}\implies 2bx=12x \\\\\\ b=\cfrac{12x}{2x}\implies b=6 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{(y-0)^2}{4^2}-\cfrac{(x-0)^2}{6^2}=1\implies \cfrac{y^2}{16}-\cfrac{x^2}{36}=1](https://tex.z-dn.net/?f=%5Cbf%20%5Cstackrel%7B%5Ctextit%7Bthe%20asymptotes%20are%7D%7D%7B%5Cpm%5Ccfrac%7B2%7D%7B3%7Dx%7D%5Cimplies%20%5Cpm%5Ccfrac%7B2%7D%7B3%7Dx%3Dk%5Cpm%20%5Ccfrac%7Ba%7D%7Bb%7D%28x-%20h%29~~%20%5Cbegin%7Bcases%7D%20h%3D0%5C%5C%20k%3D0%5C%5C%20a%3D4%20%5Cend%7Bcases%7D%20%5C%5C%5C%5C%5C%5C%20%2B%5Ccfrac%7B2%7D%7B3%7Dx%3D0%2B%5Ccfrac%7B4%7D%7Bb%7D%28x-0%29%5Cimplies%20%5Ccfrac%7B2x%7D%7B3%7D%3D%5Ccfrac%7B4x%7D%7Bb%7D%5Cimplies%202bx%3D12x%20%5C%5C%5C%5C%5C%5C%20b%3D%5Ccfrac%7B12x%7D%7B2x%7D%5Cimplies%20b%3D6%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20%5Ccfrac%7B%28y-0%29%5E2%7D%7B4%5E2%7D-%5Ccfrac%7B%28x-0%29%5E2%7D%7B6%5E2%7D%3D1%5Cimplies%20%5Ccfrac%7By%5E2%7D%7B16%7D-%5Ccfrac%7Bx%5E2%7D%7B36%7D%3D1)
Answer:
B look like the best answer
Step-by-step explanation:
