Suppose each license plate in a certain state has four letters followed by two digits. The letters I, O, Q, and U and the digits 0,1 ,2 , and 3 are not used. So, there are 22letters and 6 digits that are used. Assume that the letters and digits can be repeated. How many license plates can be generated using this format?

Step-by-step explanation:

The license plate is in the form of DD, where L- letter, D- digit

Each letter can get 22 values and each digit can get 6 values.

Total combinations are:

4 & 3

step-by-step explanation:

factor of 108=2×2×3×3×3=2×2×3^3=the number is 4 because 2 only occurs 2 times and 2×2=4 and factor of 2187=3^3×3^3×3=the number is 3 because 3 onlyvoccur 1 time.

if the eqn of the parabola is f(x) = (x-4)(x+2), we need to mult. this out to find the coordinates of the vertex.

then f(x) = x^2 + 2x - 4x - 8, and f(x) = x^2 - 2x - 8.

one way in which you can find the vertex is to calculate x = -b / (2a).   here, that comes to

        )

x = = 1.   f(1) = 1^2 - 2(1) - 8 = - 9.   vertex is at (1, -9).

        2(1) 

find another point on the curve:   let x=0, for which y=-8.   then (0, -8) is on the curve.   plot the vertex and this point and draw a smooth parabola thru both.

hope this