Q:  Consider the equation:

y= x²-4x+3

1. Find the vertex.
2. It opens _____.
3. Find the axis of symmetry.
4. Find the minimum.
5. Find the discriminant.
6. It has ___ real solutions.
7. Find the x-intercept(s), if none, say so.
8. Find the y-intercept.

# Scrambling

OK.  I must redeem myself in the realm of counting!  Too many hasty errors on my last post for discrete math and not enough “thinking.”  Don’t fall victim to this.  And now to the question:

Q:  How many bit strings (reminder: a bit is either 0 or 1) of length 10 have:

(a) Exactly 3 zeros?
(b) Have the same number of 0 and 1
(c) Have at least 7 zeros
(d) Have at least 3 ones?

# Solve for n

Q:  Solve m=xy/n for n

# More factoring

Q:  Factor 5c²-18c-8

# How many… part II

Q:  How many strings of four decimal digits
(a) Do not contains the same digit twice?
(b) Begin with an odd digit?
(c) Have exactly 3 digits that are 9?

# How many….

Q:  How many positive integers less than 1000 are:
(a) divisible by 7?
(b) divisible by 7 but not by 11?
(c) divisible by either 7 or 11?
(d) divisible by exactly one of 7 or 11?
(e) divisible neither by 7 or 11?
(f) have distinct digits?
(g) Have distinct digits and are even?

# Factoring with 2 letters!

Q:  Factor completely:  9m³n – 19m²n² + 2mn³

Q:  Solve for h:

a=(1/2) b*h