Answer:

Step-by-step explanation:
1 n=0
1 1 n=1
1 2 1 n=2
1 3 3 1 n=3
1 4 6 4 1 n=4
1 5 10 10 5 1 n=5
1 6 15 20 15 6 1 n=6
This is where n is the exponent in
.

Now we want to expand:
or we we can rewrite as
.
Let's replace
with
and
with
in the expansion:



Let's simplify a bit:


Answer:
This is an example of
C. simultaneous causality.
Step-by-step explanation:
Simultaneous causality eliminates the conclusion that is often taken for granted to the effect that one variable is a response variable while the other is an explanatory variable because the two variables, the price and the number of shares, influence each other at the same time. When more shares are traded than demanded in the stock market in any day, the price tends to go down, and vice versa.
Answer:
152 feet^2
Step-by-step explanation:
(8x2 + 8x6 + 2x6)x2
152
Hey there!!
Equations given :
y = x² - x - 20 -------- ( 1 )
y = 3x - 15 ------------ ( 2 )
Now, lets first solve for the 1st equation ...
... x² - x - 20
We can write -x as -5x + 4x
... x² + 4x - 5x - 20
... x ( x + 4 ) - 5 ( x + 4 )
... ( x - 5 ) ( x + 4 )
y = ( x - 5 ) ( x - 4 )
Now, let's solve the second equation ...
y = 3x - 15
... y = 3 ( x - 5 )
We have two equations, now getting them together..
3 ( x - 5 ) = ( x - 5 ) ( x - 4 )
Divide by x-5 on both sides
3 = x - 4
Add 4 on both sides
x = 7
The value of x is 7
Now substituting this, we get the value of y
We have,
y = 3x - 15
... y = 3(7 ) - 15
... y = 21 - 15
... y = 6
Hence, the ordered pair is ( 7 , 6 )
Hope my answer helps!