Answer:
C. y₂ = (1 + (t/n))²
Step-by-step explanation:
yₙ₊₁ = yₙ + Δt F(tₙ, yₙ)
yₙ₊₁ = yₙ + Δt yₙ
yₙ₊₁ = yₙ + (t/n) yₙ
When n=0:
y₁ = y₀ + (t/n) y₀
y₁ = 1 + (t/n)
When n=1:
y₂ = y₁ + (t/n) y₁
y₂ = 1 + (t/n) + (t/n) (1 + (t/n))
y₂ = 1 + (t/n) + (t/n) + (t/n)²
y₂ = 1 + 2(t/n) + (t/n)²
y₂ = (1 + (t/n))²
We are asked to factor out the expression:
4 x^3 - 10 x
So we extract a factor of "2" from the numerical factors "4" and "10", and also a factor of "x" from each term,leading to:
2 x ( 2 x^2 - 5)
Therefore, please select the first answer option they give you in the list.
The relation is between the x- values and y-values of the ordered pairs. The set of all x-values is called the domain and the set of all y-values is called the range
Answer:
Step-by-step explanation:
∠UST=2 m∠2
10x+10=2(6x-1)
10x+10=12x-2
12x-10x=10+2
2x=12
x=6
m∠UST=10×6+10=70°
The angles inside a triangle add up to 180°
The 3rd angle is supplementary to (6x+1)°
Supplementary means they make a straight line (i.e 180°)
1st angle = 79°
2nd angle = (2x+10)°
3rd angle = 180° - (6x+1)°
180 = 79 + (2x+10) + 180 - (6x+1)
180 = 79 + 2x + 10 + 180 - 6x - 1
combine like terms
180 - 180 - 79 - 10 + 1 = 2x - 6x
-88 = -4x
-88/-4 = x
22 = x
