Select the two values of x that are roots of this equation.
2x-5=-3x². X=1 x=-5/3
X / 96.6 = (80.5 - 35) / 80.5 ( because the small and large triangles are similar, because of the parallel lines)
x / 96.6 = 45.5 / 80.5
x = 96.6 * 45.5 / 80.5 = 54.6 m (answer)
Answer:
Step-by-step explanation:
(1 , -2) x₁ =1 & y₁ = -2
(-3,10) x₂= -3 & y₂ = 10
First we need to find the slope.


![=\dfrac{10-[-2]}{-3-1}\\\\\\=\dfrac{10+2}{-4}\\\\\\=\dfrac{12}{-4}\\\\\\= - 3](https://tex.z-dn.net/?f=%3D%5Cdfrac%7B10-%5B-2%5D%7D%7B-3-1%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B10%2B2%7D%7B-4%7D%5C%5C%5C%5C%5C%5C%3D%5Cdfrac%7B12%7D%7B-4%7D%5C%5C%5C%5C%5C%5C%3D%20-%203)
m = -3
Equation of the line: y = mx + b
y = -3x + b
To find the value of b, take one of the point and substitue in the above equaiton.
(1 , -2)
-2 = -3*1 + b
-2 = -3 + b
-2 + 3 = b
b = 1
Equation of the line:
y = -3x + 1
As a property of equations, you can add or subtract the same quantity to/from both sides, and the truth value of the equality will remain the same: if you start with something true, e.g. 7=7 and add the same quantity to both sides, e.g. 7+4=7+4, you will still have something true, i.e. 11=11.
On the other hand, if you start with something false, e.g. 3=7 and add the same quantity to both sides, e.g. 3+6=7+6, you will still have something false, i.e. 9=13.
So, you can subtract
from both sides to transform the equality into

as required.
So the slope is 200 as he gains $200 each day
and the y intercept is 500, since he receives the $500 only once
y = 200x + 500