Answer:
use geogebra app you can install it on your pc
Answer:
Step-by-step explanation:
Let's find each person's hourly rate. If Kyla can cut and split a cord of wood in 5.5 hours, Kyla can cut and split of a cord of wood in one hour. Similarly, Ronson can cut and spit of a cord of wood in one hour.
Therefore, working together, they can split of a cord of wood.
Thus, it will take them to cut and split a cord of wood.
-3x^2 + 12x -6
a = -3
b = 12
We calculate the vertex "x" value with this formula:
(vertex "x value") = -b / (2*a)
(vertex "x value") = -12 / -6
The vertex "x" value equals the axis of symmetry value.
The axis of symmetry is at x = 2.
Source:
http://www.1728.org/quadr3.htm
This generates the recurrence relation
Because you have
it follows that
for all
.
For
, you have
so that, in general, for
,
, you have
Now, for
, you have
and so on, with a general pattern for
,
, of
Putting everything together, we arrive at the solution
To show this solution is sufficient, I've attached is a plot of the solution taking
and
, with
. (I was hoping to be able to attach an animation that shows the series solution (orange) converging rapidly to the exact solution (blue), but no such luck.)
First Part:
For every parenthesis with a plus sign to its left, you can eliminate the parenthesis (take into account that plus×minus=minus)
a + a - b - a + b
Then you add like terms. This means you add/subtract a with a and same with b and b (I'll organize the terms in alphabetical order but it's not neccesary)
a + a - a - b + b
Since a - a =0 and b - b = 0,
a + 0 + 0
Answer: a
Second part
Since you have a minus to the left of a parenthesis, you have to change the signs of all the terms inside the parenthesis before you eliminate the parenthesis.
Answer: 2a^2