Answer:
y=-8/3x-11 is the equation of the line and the value of y
Step-by-step explanation:
Use point slope form m = y-y1/x-x1, or y-y1=m(x-x1)
Find the slope from the two points (-6,5) and (-3,-3)
m = y2-y1/x2-x1 = -3-5/-3+6 = -8/3
use one point say (-6,5) that passes through the line and the slope to form the equation y-5=-8/3(x+6) rearrange y= -8/3(x+6)+5
y=-8/3x - 48/3 +5 = -8/3x-16+5 = -8/3x-11
The range is [4, infinity], {y|y greater than or equal to 4}
There should be 30 cars in the parking lot
Answer:
<h2>
19/3</h2>
Step-by-step explanation:
Given the expression
, we are to find the value of q;
![3\left(q+\dfrac43\right) = 23\\on\ expansion\\\\3q + 4/3(3) = 23\\\\3q+4 = 23\\\\subtract \ 4\ from \ both\ sides \ of \ the \ equation\\\\3q+4-4 = 23-4\\\\3q = 19\\\\Diviide \both\ sides \ by \ 3\\\\3q/3 = 19/3\\\\q = 19/3](https://tex.z-dn.net/?f=3%5Cleft%28q%2B%5Cdfrac43%5Cright%29%20%3D%2023%5C%5Con%5C%20expansion%5C%5C%5C%5C3q%20%2B%204%2F3%283%29%20%3D%2023%5C%5C%5C%5C3q%2B4%20%3D%2023%5C%5C%5C%5Csubtract%20%5C%204%5C%20from%20%5C%20both%5C%20sides%20%5C%20of%20%5C%20the%20%5C%20equation%5C%5C%5C%5C3q%2B4-4%20%3D%2023-4%5C%5C%5C%5C3q%20%3D%2019%5C%5C%5C%5CDiviide%20%5Cboth%5C%20sides%20%5C%20by%20%5C%203%5C%5C%5C%5C3q%2F3%20%3D%2019%2F3%5C%5C%5C%5Cq%20%3D%2019%2F3)
Hence the value of q is 19/3