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:
4(x - 
)² = 0
Step-by-step explanation:
Given
4x² - 4x + 1 = 0
To complete the square the coefficient of the x² term must be 1
Factor out 4 from 4x² - 4x
= 4(x² - x) + 1 = 0
add/subtract ( half the coefficient of the x- term )² to x² - x
4(x² + 2(- )x + 
- ) + 1 = 0
4(x - )² - 1 + 1 = 0
4(x - )² = 0
Answer: -1
Step-by-step explanation:
f(t) = -2t + 3
f(-2) = -2 x -2 + 3 [ substituting the value]
f(-2) = -4 + 3
f(-2) = -1
<h3>
Answer: Linear</h3>
Each time x goes up by 3, y goes up by 2. The rate of change is constant.
slope = (change in y)/(change in x) = 2/3
y intercept = 6 since this is where x = 0
The equation of this line is y = (2/3)x+6
Do you mean 5+7?
If so, that equals 12!
