1 Chris decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs $4.25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most $40 before tax. The restaurant only sells pancakes in stacks of 6 pancakes for $7.50.

Let S represent the number of stacks of pancakes that Chris buys.

Write an inequality to describe this scenario

you just switch the numbers basically so it would be 3/17

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