Start by setting up a factor tree for each number.
Factor in anyway that you'd like.
At the end, circle all prime numbers.
Remember, prime numbers are numbers
with only 2 factors, 1 and the number itself.
Now write these factors in least to greatest
multiplying them separate rows.
Circle factors they have in common.
Since 3 pairs of two's match up, multiply by 2 three times to get 8.
So the GCF is 8.
80 since he starts off with 38 stamps then gains 6 each month for 7 months (6x7=42) so 42+38=80
Answer:
f(g(x)) = 4x² - 12x + 9
Step-by-step explanation:
Substitute x = g(x) into f(x) , that is
f(g(x))
= f(2x - 3)
= (2x - 3)² ← expand using FOIL
= 4x² - 12x + 9
The correct answer for this problem is it has infinity solutions. Both equations equal up to t=5 -1/2
Trust me: You must know how to do this basic factoring yourself.
x^2 -5x - 6 factors into (x-6)(x+1). Note how I got that: -6 is the product of 1 and -6, and -6 + 1 = -5.
You could also factor this by grouping:
x^2 -5x - 6 = x(x-6) + 1(x-6). Note how the middle terms combine to produce -5x and how (x-6) is a factor common to both terms; this leaves (x+1). So the factors are (x-6)(x+1).
