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:
One number is 561
The other number is 23.6854
Step-by-step explanation:
x = y^2 One number = the square of another
x + y^2 = 1122 The sum of the two numbers is 1122
Substitute y^2 in for x on the second equation.
y^2 + y^2 = 1122 Combine like terms on the left
2y^2 = 1122 Divide by 2
y^2 = 1122/2
y^2 = 561 Take the square root of both sides.
y = 23.6854
x = y^2
x = 561
y^2 = 561
Step-by-step explanation:
It's 6r+5y. But it's not in the option
9514 1404 393
Answer:
(x, y, z) = (-3, -1, 3)
Step-by-step explanation:
Many graphing calculators can solve matrix equations handily. Here, we use a combination of methods.
Use the last equation to write an expression for z.
z = 4 -x +4y
Substitute this into the second equation:
y -4(4 -x +4y) = -13
y -16 +4x -16y = -13
4x -15y -3 = 0
In genera form, the first equation can be written as ...
3x +y +10 = 0
Now, the solution to these two equations can be found to be ...
x = (-15(10) -1(-3))/(4(1) -3(-15)) = (-150 +3)/(4+45) = -3 . . . using "Cramer's rule"
y = -(10 +3x) = -(10 -9) = -1 . . . . from the first equation
z = 4 -(-3) +4(-1) = 3 . . . . . . . . from our equation for z
The solution to the system is (x, y, z) = (-3, -1, 3).
_____
<em>Additional comment</em>
Written as an augmented matrix, the system of equations is ...
![\left[\begin{array}{ccc|c}-3&-1&0&10\\0&1&-4&-13\\1&-4&1&4\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D-3%26-1%260%2610%5C%5C0%261%26-4%26-13%5C%5C1%26-4%261%264%5Cend%7Barray%7D%5Cright%5D)
Answer:
y=30x+50 and y=40
Step-by-step explanation:
