Answer:
84.5 = 1/2 13 x h
Step-by-step explanation:
use the picture and the formula for area of a triangle
Answer:
3^x -2x +14
Step-by-step explanation:
I will assume you mean 3^x in the function f(x)
f(x) = 3^x+ 10
g(x) = 2x - 4
(f - g)(x) = 3^x+ 10 - (2x - 4)
Distribute the minus sign
= 3^x+ 10 - 2x + 4
= 3^x -2x +14
Answer:
3, -4
Step-by-step explanation:
Hi I really hope this helps you, Please mark as brainliest!
Where are the two questions ?
Answer:
a) -8/9
b) The series is a convergent series
c) 1/17
Step-by-step explanation:
The series a+ar+ar²+ar³⋯ =∑ar^(n−1) is called a geometric series, and r is called the common ratio.
If −1<r<1, the geometric series is convergent and its sum is expressed as ∑ar^(n−1) = a/1-r
a is the first tern of the series.
a) Rewriting the series ∑(-8)^(n−1)/9^n given in the form ∑ar^(n−1) we have;
∑(-8)^(n−1)/9^n
= ∑(-8)^(n−1)/9•(9)^n-1
= ∑1/9 • (-8/9)^(n−1)
From the series gotten, it can be seen in comparison that a = 1/9 and r = -8/9
The common ratio r = -8/9
b) Remember that for the series to be convergent, -1<r<1 i.e r must be less than 1 and since our common ratio which is -8/9 is less than 1, this implies that the series is convergent.
c) Since the sun of the series tends to infinity, we will use the formula for finding the sum to infinity of a geometric series.
S∞ = a/1-r
Given a = 1/9 and r = -8/9
S∞ = (1/9)/1-(-8/9)
S∞ = (1/9)/1+8/9
S∞ = (1/9)/17/9
S∞ = 1/9×9/17
S∞ = 1/17
The sum of the geometric series is 1/17
