Answer:
Step-by-step explanation:
Coordinate points: (18, -7) and (18,2)
m= rise / run or 
m = slope
(x1, y1) = coordinates of first point in the line
(x2, y2) = coordinates of second point in the line
So your rise is...
2 - (-7)
and you run is...
18 -18
Rise = 9
Run = 0
Now, do you see the issue...
You can not have a number over 0 (* a great way to remember is N/0 spells no: "N" being number and "0" being zero)
The slope or the equation 9 / 0 (9 divided by 0 or 9 over 0) is ERROR in the calculator which means the slope of these points are undefined
The line is vertical when this happens
*Side Note: if you were to have 0 as you rise and 9 as your run, 0/9 is ok because that means you have a zero slope meaning that you have a horizontal line
0 divide by 9 is zero
Answer:
what you need should be testing for u
I can read it take a better picture
Answer:
1) P(0) = 5000
2) P(t --> ∞) = 25000
Step-by-step explanation:
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
1) Population at the moment corresponds to population at t = 0
P(0) = (25(0²) + 125(0) + 200)/(0² + 5(0) + 40) = (0 + 0 + 200)/(0 + 0 + 40) = 5 thousand = 5000 (P was stated to be in thousands)
2) Population in the long term corresponds to the population as t --> ∞
P(t) = (25t² + 125t + 200)/(t² + 5t + 40)
Divide through the numerator and denominator by t²
P(t) = (25 + (125/t) + (200/t²))/(1 + 5/t + (40/t²))
P(t --> ∞) = (25 + 0 + 0)/(1 + 0 + 0) (Since, (1/∞) = 0)
P(t --> ∞) = 25 thousand = 25000
Multiple each term in the first parentheses by each term in the second parentheses (FOIL)
(5x*4x) (5x*-2) (-4x*4) (-4*-2)
20x^2– 10x — 16x + 8
= 20x^2– 26x + 8
