Mercedes created color panels for a wall using a mix of only green and yellow paints. She plotted the quantities of green and yellow paints used for each mix and connected them using a line segment, as shown in the graph.

Which statement best describes the domain of the function represented in the graph?

2 ≤ x ≤ 10
2 ≤ x ≤ 18
10 ≤ x ≤ 18
0 ≤ x ≤ 10

the answer is 13

step-by-step explanation:

5*5=25

12*12=144

25+144=169

169^2=13

let's call the solutions x₁ = (5 - 2√7)/3 and x₂ = (5 + 2√7)/3

then the equation is (x-x₁)(x-x₂) = 0

if you fill that in you get a lot of numbers which you can recognize as ax²+bx+c=0.

step-by-step explanation:

you can see that a=1 (there is just an x²)

b = (-5 -2√7 + 2√7 - 5)/3 = -10/3

c = -2√7)/3 ) * (-5+2√7)/3) = -1/3

so your answer is 3x^2 – 10x – 1 = 0