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marshall27 [118]
3 years ago
9

A positive number is 3 times another number.

Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
7 0

Answer:

The smaller number can be 8 or \frac{1}{5}.

Step-by-step explanation:

Consider the provided information.

let the larger number is x and the smaller number is y

A positive number is 3 times another number.

3y=x

If we add 2 to the larger and 5 to the smaller, then one of them becomes 2 times the other.

Case I: If 2nd number is 2 times to the first number.

x+2=2(y+5)

Substitute the value of x.

3y+2=2y+10

y=8

Now substitute the value of y in 3y=x

3(8)=x

x=24

Therefore, the smaller number is 8.

Case II: If 1st number is 2 times to the second number.

2(x+2)=y+5

Substitute the value of x.

2(3y+2)=y+5

6y+4=y+5

5y=1

y=\frac{1}{5}

Therefore, the smaller number is \frac{1}{5}.

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Answer:

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Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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Here [ a, b ] = [2, 6 ]

f(b) = f(6) = 6² + 5(6) - 8 = 36 + 30 - 8 = 58

f(a) = f(2) = 2² + 5(2) - 8 = 4 + 10 - 8 = 6

Hence

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