26 total letters, 10 total digits
with repeated letters/numbers:
26 * 26 *26 * 10* 10*10 = 17,576,000 ways
without repeats:
26 *25*24 *10 *9*8 = 11,232,000 ways
Answer:
y-intercept = c = -2
slope = y = - 4
Step-by-step explanation:
The correct equation is:
4x + y = -2
We need to graph the line using its slope and y-intercept. The slope intercept form of the equation is:
y = mx + c
Here, m is the slope and c is the y-intercept. Transforming the given equation to this form gives us:
y = - 4x - 2
This means, the slope is:
m = - 4
and y-intercept is:
c = - 2
y-intercept in ordered pair is written as (0, c). So for the given case the y intercept will be (0, -2). This gives us first point on the graph.
The slope tells us that by how many units will the y variable will change for one unit change in x-axis.
So slope, m = - 4, tells us that the y-variable will change by negative 4 units for 1 unit change in x variable.
Based on this change, we can get another point from (0, -2) which will be (0+1, -2 - 4) = (1, - 6)
This gives us the second point on the graph. Plot these two points and join them using a straight line. This straight line will be the graph of equation y = 4x - 2 or 4x + y = -2
The graph is attached below.
Answer:
The degree is even and the leading coefficient is negative.
Step-by-step explanation:
Given that the end behavior of the function is decreasing on the right, this means that x approaches positive infinity as y approaches negative infinity, which tells us that our leading coefficient is negative. Additionally, since our function is increasing on the left, then our function is even, which is symmetric to the origin.