Answer:
f(x) = (x-1)² + 3
Step-by-step explanation:
f(x) = 4+x²-2x or f(x) = x²- 2x + 4 -----> eq 1
consider the top-most choice
f(x) = (x-1)² + 3 = x² + 2·x·(-1) + 1² + 3
f(x) = x² - 2x+ 1 + 3
f(x) = x² - 2x+ 4 -----> compare this with eq 1 above (they match!)
hence f(x) = (x-1)² + 3 is the answer
The equation here is 1 1/4 X 6
1X6= 6 and 1/4 X6 = 6/4
You can add these to and the answer is 6 6/4
which can then be simplified to 7 1/2 hours in 6 days
The y-intercept would represent the highest point. The graph will show a parabola and this point will only be reached once.
The x-intercept would be the starting point and the ending point. You can find total distance traveled with this.
Answer:
a. T1 = -4 , T2 = -4/3 , T3 = -4/9 , T4 = -4/27
b. It is converge
c. The sum to ∞ = -6
Step-by-step explanation:
a.
∵ Tn = -4(1/3)^(n-1)
∵ The lower n = 1
∵ The geometric series Tn = a(r)^(n-1)
∴ T1 = a , T2 = ar , T3 = ar² , T4 = ar³
∴ a = -4 , r = 1/3
∴ T1 = -4
∴ T2 = -4(1/3) = -4/3
∴ T3 = -4(1/3)² = -4/9
∴ T4 = -4(1/3)³ = -4/27
b.
r = 1/3
∴ -1 < r < 1
∴ It is converge because the value of 1/3 when n is a very large
number will approach to zero
c.
∵ The sum of the geometric series = a(1-(r)^n)/1-r
∵ r^n ≅ 0 when n is a very large number
∴ The sum to ∞ = a/1 - r = -4/(1 - 1/3) = -4/(2/3) = -6
Sum of interior angles in Octagon is 1080 degrees...