In 2000, the average monthly price for basic cable television in the United States was $29.99. In 2016, the average monthly price for the same basic cable television was $59.75. Write a linear function that models the cost of basic cable television in the United States for x years after 2000. Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

The cost of basic cable television in the United States in the year 2020 will be $67.19.

Step-by-step explanation:

The linear function has the following format.

In which y(x) is the cost x years after 2000, y(0) is the initial cost, that is, the cost in 2000, and a is the slope(how much the cost changes in a year).

In 2000, the average monthly price for basic cable television in the United States was $29.99.

This means that

In 2016, the average monthly price for the same basic cable television was $59.75.

2016 is 16 years after 2000. So

Write a linear function that models the cost of basic cable television in the United States for x years after 2000.

Applying y(16).

So

Use the linear function to determine the cost of basic cable television in the United States in the year 2020.

2020 is 20 years after 2000, so this is y(20).

The cost of basic cable television in the United States in the year 2020 will be $67.19.

it is a secret for it not to be compromised sorry

step-by-step explanation:

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