Answer:
The rate of change of f(x) is greater than that of g(x)
They have the same y intercept of 14
Step-by-step explanation:
Given
Table for function f(x)
Required
Compare their rate of change and intercept
For g(x), we have:
The form of an equation is:
Where
So:
For f(x): Start by calculating the slope (m)
The intercept is calculated using:
Where
--- we want to solve for y
So:
Multiply both sides by 2
Make y the subject
So, we have:
and -- for g(x)
and --- for f(x)
By comparison:
The rate of change (i.e. slope) of f(x) is greater than that of g(x) because 
They have the same y intercept of 14
Answer:
25 almost full boxes
Step-by-step explanation:
Answer:
right 6 and down 2
Step-by-step explanation:
I used a graphing calculator
Answer:
y = x - 5
Step-by-step explanation:
Given the point, (10, 5), and the slope, m = 1:
Substitute these values into the <u>slope-intercept form</u> to solve for the y-intercept, <em>b</em>:
y = mx + b
5 = 1(10) + b
5 = 10 + b
Subtract 10 from both sides to isolate b:
5 - 10 = 10 - 10 + b
-5 = b
The y-intercept of the line is: b = -5. This represents the y-coordinate of the y-intercept, (0, -5), which represents the point on the graph where it crosses the y-axis. Along the y-axis, the value of x = 0. Hence, the y-intercept is (0, -5).
Therefore, given the slope, m = 1, and the y-intercept, b = -5:
The equation of the line in slope-intercept form is: y = x - 5.
Answer:
81.167~
Step-by-step explanation:
You can find the mean (or average) of a set of numbers by adding them together and dividing the sum by the amount of values there are.
In this case, there are 6 values.
The total sum of the six values is 487.
To receive the mean, divide 487 by 6.
