Sinplify this expression -3(10x+4y)+6(6x-2y)
1 answer:
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Answer:
The ball traveled 116.25 m when it hit the ground for the fifth term
Step-by-step explanation:
This is a geometric progression exercise and what we are asked to look for is the sum of a GP.
The ball was dropped from a height of 60 m. This means that the initial height of the ball is 60 m.
First value, a = 60
Each time it hit the ground, it bounced up 1/2 (half) of the height that it dropped.
This is the common ratio, r = 1/2 = 0.5
The number of terms it hits the ground is the number of terms in the GP.
number of terms, n = 5
The distance traveled by the ball when it hit the ground for the fifth term will be modeled by the equation:
To solve these type of problem you have to make the denominator the same or use the claculator.
let us do this problem by making the denominator the same.
So, now. the one with the largest numerator is the largest fraction
In this case,
is the largest which is equal to 
.
So, the largest fraction is.
let us do this problem by making the denominator the same.
So, now. the one with the largest numerator is the largest fraction
In this case,
So, the largest fraction is