Answer:
The equation of the graphed line is:
Step-by-step explanation:
From the graph, it is clear that the line is a horizontal line at y = 2.
We know that a horizontal line has a slope of 0 because the value of y does not change no matter what the value of x we put in.
In other words, the equation of the horizontal line would always get the form:
y = k
where k is the y-intercept of the line.
Determining the y-intercept of the line:
We know that the value of the y-intercept can be determined by setting x = 0 and determining the corresponding value of y.
From the graph, it is clear
at x = 0, y = 2
Thus, the y-intercept k = 2
Thus, if we substitute the y-intercept k = 2 in the equation y = k, we get the equation
y = 2
Therefore, the equation of the graphed line is:
A SCATTER PLOT IS JUST A DOT PLOT
Answer:
(x - 8)² = 14
Step-by-step explanation:
Given
x² - 16x + 26 = - 24 ( subtract 26 from both sides )
x² - 16x = - 50
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 8)x + 64 = - 50 + 64
(x - 8)² = 14
Function defines relationship between variables. The value of the f[g(x)] when the value of f(x)=6x+11 and g(x)=x²+6 is f[g(x)]= 36x²+47.
<h3>What is a function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given to us
f(x) = 6x + 11
g(x) = x² + 6
As we know the two functions, given to us f(x) = 6x + 11, therefore substitute the value of x as g(x) in order to find the value of f[g(x)] ,
![f(x) = 6x + 11\\\\f[g(x)] = 6(x^2 + 6) + 11\\\\f[g(x)] = 6x^2 + 36 + 11\\\\f[g(x)] = 6x^2 + 47](https://tex.z-dn.net/?f=f%28x%29%20%3D%206x%20%2B%2011%5C%5C%5C%5Cf%5Bg%28x%29%5D%20%3D%206%28x%5E2%20%2B%206%29%20%2B%2011%5C%5C%5C%5Cf%5Bg%28x%29%5D%20%3D%206x%5E2%20%2B%2036%20%2B%2011%5C%5C%5C%5Cf%5Bg%28x%29%5D%20%3D%206x%5E2%20%2B%2047)
Hence, the value of the f[g(x)] when the value of f(x)=6x+11 and
g(x)=x²+6 is f[g(x)]= 36x²+47.
Learn more about Function:
brainly.com/question/5245372
Answer:
-3
Step-by-step explanation:
There are two ways to see what the next sequence number would be in this case.
First approach, you start with the first number (1) than count every other number, which are all positive integers. You do the same starting from the second number (-1), which would then be all negative integers.
Second approach, consider 2 consecutive numbers being a single element of the series... each has a number (1,2,3) with its positive and negative values.
