Answer:
<h2>2¹²</h2>
Step-by-step explanation:
The sum of the coefficients in the expansion of (x+1)^12:
= 12C0 + 12C1 + 12C2 + . . . + 12C11 + 12C12
the formula says that this sum equal to 2¹².
Other examples
The sum of the coefficients in the expansion of (x+1)^3:
3C0+3C1+3C2+3C3
=8 = 2³
The sum of the coefficients in the expansion of (x+1)^4:
4C0+4C1+4C2+4C3+4C4
=16 = 2⁴
:)
14.16 is the answer to your problem
Answer:
(-20, 19)
Step-by-step explanation:
We need to use the Midpoint Formula, which says that given two points
and
, the midpoint is
.
Here, we are given one of the endpoints and the midpoint:
endpoint S = (5, -8)
midpoint M = (-7.5, 5.5)
Plug these into the formula. In
, x1 = 5, and this whole expression is equal to -7.5:

Solve for x2:
5 + x2 = 2 * (-7.5) = -15
x2 = -15 - 5 = -20
Now, let's find y2. y1 is just -8, and the entire expression for the y-coordinate of the midpoint is equal to 5.5. So:

Solve for y2:
-8 + y2 = 2 * 5.5
-8 + y2 = 11
y2 = 11 + 8 = 19
The coordinates of T are thus (-20, 19).
<em>~ an aesthetics lover</em>
The number of customers who visited more on first day = ( 5 x - 2)
<h2>
248 more people visited on the first day. </h2>
Step-by-step explanation:
The total number of customers visiting on first day = (6 x - 3)
The total number of customers visiting on second day = (x - 1)
The difference in the number of customers
= Number of customer visiting ( First day - Second Day)
= (6x - 3) - (x- 1) = 6 x - 3 - x + 1 = 5 x - 2
So, the number of customers who visited more on first day = ( 5 x - 2)
Now, when x = 50, ( 5 x - 2) = (5 (50) - 2) = 250 - 2 = 248
Hence, 248 more people visited on the first day.