Answer:
The slope is 3 and it's positive
Step-by-step explanation:
(2, 5) and (3, 8)
m=(y2-y1)/(x2-x1)
m=(8-5)/(3-2)
m=3/1
m=3
X=13+4x. 13+4x=22
0=13+3x. 4x=9
3x=-13. x=9/4
x=13/3
Answer:
Option (4)
Step-by-step explanation:
Given sequence is,

We can rewrite this sequence as,

There is a common ratio between the successive term and the previous term,
r = 
r = 
Therefore, it's a geometric sequence with infinite terms. In other words it's a geometric series.
Since sum of infinite geometric sequence is represented by the formula,
, when r < 1
where 'a' = first term of the sequence
r = common ratio
Since common ratio of the given infinite series is greater than 1 which makes the series divergent.
Therefore, sum of infinite terms of a series will be infinite Or the sum is not possible.
Option (4) will be the answer.
Answer:
5 and 25
Step-by-step explanation:
let the son's age be x then the father's age is x + 20
In 5 years
son = x + 5 and father = x + 20 + 5 = x + 25
Then
x + 25 = 3(x + 5) ← father is three times as old as son
x + 25 = 3x + 15 ( subtract x from both sides )
25 = 2x + 15 ( subtract 15 from both sides )
10 = 2x ( divide both sides by 2 )
5 = x and x + 20 = 5 + 20 = 25
si=on is 5 and father is 25