Answer:

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.
Answer:
3rd Option is correct.
Step-by-step explanation:
Given Equation:
x² - 16x + 12 = 0
First We need to find solution of the given equation.
x² - 16x + 12 = 0
here, a = 1 , b = -16 & c = 12






Now,
Option 1).
( x - 8 )² = 144
x - 8 = ±√144
x - 8 = ±12
x = 8 + 12 = 20 and x = 8 - 12 = -4
Thus, This is not correct Option.
Option 2).
( x - 4 )² = 4
x - 4 = ±√4
x - 4 = ±2
x = 4 + 2 = 6 and x = 4 - 2 = 2
Thus, This is not correct Option.
Option 3).
( x - 8 )² = 52
x - 8 = ±√52
x - 8 = ±2√13
x = 8 + 2√13 and x = 8 - 2√13
Thus, This is correct Option.
Option 4).
( x - 4 )² = 16
x - 4 = ±√116
x - 4 = ±4
x = 4 + 4 = 8 and x = 4 - 4 = 0
Thus, This is not correct Option.
Therefore, 3rd Option is correct.
Answer:$1.25
Step-by-step explanation:
2 divided by 1.60=$1.25
3 divided by 2.40= $1.25
5 divided by 4.00= $1.25
8 divided by 6.40 = $1.25
Answer:
3.4
Step-by-step explanation:
(−9 + 6.8 − 1.2) · (−0.49 − 0.51)
(−3.4) · (−1)
3.4
X = price of the ingredients
so based on the proportion , we can write that :
Almonds needed = x = $ 12 x
peanut needed = 2x = 2x * $ 8 = $ 16x
raisins needed = 3x = 3x * $6 = $ 18x
Equation =
12x + 16x + 18x ≤ $ 23
46x = $23
x = $ 0.5
The pound of mix he can made :
0.5 * 1 pound of almond + 0.5 x * 2 pound of peanuts + 0.5 * 3 pound of raisins
= 3 Pound of mix