They do not intersect, they are parallel lines.
Mode: 43 & 81 ( They both appeared the most amount of times)
Range: 41 (Subtract the largest number with the smallest number)
Mean: 58
Min: 40 (Q1)
Max: 81 (Q3)
Med: 54 (Q2)
Hope this helps!!!
$112.50. 25% is .25 and .25 times 150 equals 37.50, so then you subtract 37.50 from 150 and you get $112.50.
The Solution to the equation f(x) = g(x) can be found by equating both functions and evaluating value of x.
The solution will be ![x = 2](https://tex.z-dn.net/?f=x%20%3D%202)
<h2>Given that:</h2>
![f(x) = 2x+1](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%2B1)
![g(x) = -x+7](https://tex.z-dn.net/?f=g%28x%29%20%3D%20-x%2B7)
<h3>To find:</h3>
Solution of the equation ![f(x) = g(x)](https://tex.z-dn.net/?f=f%28x%29%20%20%3D%20g%28x%29)
<h3>Equating both equations and evaluating x:</h3>
![f(x) = 2x + 1\\g(x) = -x + 7\\\\f(x) = g(x)\\2x + 1 = -x + 7\\\\\text{Adding x on both sides}\\2x + x + 1 = -x + x + 7\\3x + 1 = 7\\\\\text{Subtracting 1 from both sides}\\3x + 1 - 1 = 7 - 1\\3x = 6\\\\\text{Dividing both sides by 3}\\\dfrac{3x}{3} = \dfrac{6}{3}\\\\x = 2](https://tex.z-dn.net/?f=f%28x%29%20%3D%202x%20%2B%201%5C%5Cg%28x%29%20%3D%20-x%20%2B%207%5C%5C%5C%5Cf%28x%29%20%3D%20g%28x%29%5C%5C2x%20%2B%201%20%3D%20-x%20%2B%207%5C%5C%5C%5C%5Ctext%7BAdding%20x%20on%20both%20sides%7D%5C%5C2x%20%2B%20x%20%2B%201%20%3D%20-x%20%2B%20x%20%2B%207%5C%5C3x%20%2B%201%20%3D%207%5C%5C%5C%5C%5Ctext%7BSubtracting%201%20from%20both%20sides%7D%5C%5C3x%20%2B%201%20-%201%20%3D%207%20-%201%5C%5C3x%20%3D%206%5C%5C%5C%5C%5Ctext%7BDividing%20both%20sides%20by%203%7D%5C%5C%5Cdfrac%7B3x%7D%7B3%7D%20%3D%20%5Cdfrac%7B6%7D%7B3%7D%5C%5C%5C%5Cx%20%3D%202)
Thus, the solution to the given equation is
.
Learn more about solutions of system of linear equations here:
brainly.com/question/9351049