Answer:

Step-by-step explanation:
We are given the recursive formula:

This is the recursive formula for an arithmetic sequence.
The explicit formula for an arithmetic sequence is given by:

Where d=3 is the common difference.
We plug in this values to get:

We now expand and simplify to get:

We simplify to obtain:

His answer was (x- +2) (x^2-9)
a) His mistake was he has x^2 in one of the parenthesis, to be fully factored you cannot have an exponent as part of the answer.
b) x^3 - 9x + 2x^2 -18
Reorder the terms:
x^3 +2x^2 -9x -18
Group the first two terms and the last two terms
(x^3 + 2x^2) -9x-18
Factor out the greatest common factor from each group:
x^2(x+2) - 9(x+2)
Factor the polynomial by factoring out the common factor once x+2:
(x+2) (x^2-9)
Rewrite 9 as 3^2:
(x+2) (x^2-3^2)
Factor one last time:
(x+2) (x+3) (x-3)
4/3 times 5/2 is 20/6, or 10/3. 3 1/3 pounds is the answer
4/6=0.6666666667
0.6666666667×39=26 millimeters
Answer:
3/8 and 3/5
Step-by-step explanation:
Given that a family has three children. Using b to stand for a boy and g for girl give the following we can write sample space for a family having three children as
(bbb, bbg, bgg, bgb, gbb, gbg, ggb, ggg)
E - exactly two boys
Sample space count = 8
Exactly two boys count = 3
a) p(E) = 
b) odds for E is probability/1-probability
= 