Answer:
The difference is 
Step-by-step explanation:
We must find the common denominator of the fractions.
The common denominator of
and
is
; therefore we have


now it is easy to subtract
using the number line: we have to move
units to the left in order to get to
.
Thus our answer is

Write the function as
f(x) = x² + 6x - 4
Note that
x² + 6x = (x + 3)² - 9
Therefore
f(x) = (x 3)² - 9 - 4
= (x + 3)² - 13
The vertex is at (-3, -13)., and the curve opens upward.
The axis of symmetry is x = -3.
Answer:
The vertex of the function is (-3, 13).
The graph increases over the interval (-3, -∞)
Answer: 200
Step-by-step explanation:
since 10 is one part
10 x 20 = 200
To find probability, you'd have to find the total number of marbles (5+3+6+6=20), and since there are 3 blue marbles, the probability of picking one is 3 out of 20, or 3/20
If that blue marble isn't replaced, there will then be 19 marbles, and 2 blue ones. So the probability of him picking another blue marble is 2/19