n ∈ natural even numbers
Step-by-step explanation:
1 + 3 + 5 + 7 + … + (2n-1)
sum of the first n terms :
Sₙ = n/2(a + Uₙ)
Sₙ = n/2(1 + 2n - 1)
Sₙ = n/2(2n)
Sₙ = n²
∴ so, the solution of n is all natural even numbers
Answer:
24 = x
Step-by-step explanation:
You use Pythagorean theorem. Since the normal equation is
, you already have the
and another side which can be
or
.
Because you have the hypotenuse and a side , your equation looks like this now:
and when you solve for be you just subtract
to get 24.
Answer:
See explanation
Step-by-step explanation:
1. The given function is

The domain values are: x=0, 2, -1, 4, -2
When x=0

When x=2,

When x=-1

When x=4

When x=-2

2. The given function is

When x=3,

Similarly,




There are no constants here. But we have x and y here.
We will create an equation which is:
2y+3x=54.
But we will also create a second equation which states the number of seats.
x+y=24.
Now we do the two-equation solving method.
2y+3x=54
-2(x+y=24)
2y+3x=54
-2x-2y=-48
x=6
To solve for y, plug in x into one of the original equations. Which one doesn't matter.
y+6=24
y=18