When you make the product of a binomial of the kind x + a times other binomial that is of the kind x - a, you obtain another binomial (not a trinomial), so any example with that form will be a counterexample that disproves the conjecture:
(x + a) * (x - a) = x^2 - a^2
For example, (x +3) * (x - 3) = x^2 - 9. So, not always the product of two binomials is a trinomial.
Answer:
1,000,000,000 leaves or 1 x 10^9 leaves
Step-by-step explanation:
One large oak tree has 2 x 10^5 leaves, so we can make that number to 200000
There are 5 x 10^3 oak trees in a forest, we can make that number to 5000
Since we want to find out how many leaves are in the whole forest we multiply: 200000 x 5000 = 1,000,000,000
So approximately there are 1 billion leaves or 1 x 10^9 leaves
The graph of g has a greater slope than the graph of f.
1) 1
2) PA: between 2 and 3.
2) PB: Unsure about it.
Put (a+h) where x is and simplify to the extent you desire.
f(a+h) = (a+h)^2 +3(a+h) +5
= a^2 +2ah +h^2 +3a +3h + 5
f(a+h) = a^2 +3a +5 +h(2a +3) +h^2