2 years ago

How many license plates can be made using 2 digits then 5 letters if repeated digits and letters are not allowed?

1 answer:

3 0

In this question, we made a license that does not allow repeated digit and letter. That means the probability count of letter and digit will be decreased by 1 for every roll.
There is 10 kinds of digits (0-9) and 26 kinds of letters (a to z). So, 2 digits and 5 letter would be:
(10 * 9) * (26 * 25 * 24 * 23 * 22)= 710424000 kinds of license plates

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On the set of axes below, draw the graph of y=x^2-4x-1

never [62]

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Answer:

axis of symmetry: x = 2

see below for a graph

Step-by-step explanation:

You can complete the square to put the equation in vertex form.

y = (x^2 -4x +4) -1 -4

y = (x -2)^2 -5 . . . . . . vertex is (2, -5)

The equation of the axis of symmetry is the equation of the vertical line through the vertex:

x = 2 . . . . . axis of symmetry

Points on the graph are easily found by using integer values on either side of x=2. Points on one side of the axis of symmetry are mirrored on the other side of it.