Answer:
43,200 serial numbers can be generated
Step-by-step explanation:
The ordering for the letters and the digits are important. For example, 012 constitutes a different serial number than 210. So we use the permutations formula to solve this question.
Permutations formula:
The number of possible permutations of x elements from a set of n elements is given by the following formula:
How many serial numbers can be generated
3 letters, from the first five of the alphabet
3 digits, from a set of 10
So
43,200 serial numbers can be generated
Answer:
1 7/80
Step-by-step explanation:
1 and 7 over 80
The answer is m = 250 - 25w.
This is because this answer is in y=mx+b format (slope-intercept form) and has the correct values.
In slope-intercept form, m is the slope and b is y-intercept.
In m = 250 - 25w, the y-intercept is 250 and the slope is -25.
This matches the graph.
Y-intercept is where a line crosses the y-axis, which is 250 in this case.
The slope is negative since the values are decreasing over time (as x-values increase, y-values decrease).
f(x)= 9x^3+ 2x^2 -5x+ 4
g(x)= 5x^3 -7x+ 4
f(x) - g(x)
= (9x^3+ 2x^2 -5x+ 4) - (5x^3 -7x+ 4)
= 9x^3+ 2x^2 -5x+ 4 -5x^3+ 7x -4
= (9x^3 -5x^3)+ 2x^2+ (7x -5x)+ (4-4) (combine like terms)
= 4x^3+ 2x^2+ 2x
= 2x* (2x^2+ x+ 1)
The final answer is 2x* (2x^2+ x+ 1).
