A dune buggy company rents dune buggies at the beach. They charge an initial fee of $30 plus $10 for each hour the buggy is rented. Let x represent the number of hours and y represent the
total cost of the rental.
b. What is the slope-intercept equation of the line that fits this information?

y = 10x +30

Step-by-step explanation:

30 can represent the b in the equation to represent  inital value while the 10x is the mx as 10 represents cost and x represents answer. y will be the total value

y = 10x + 30 is the correct answer

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