3 years ago

What is the ratio in simplest form? 12 to 28

Mathematics

1 answer:

Oduvanchick [21]3 years ago

7 0

Answer:

12:28 = 3:7

Step-by-step explanation:

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 12 and 28 is 4

Divide both terms by the GCF, 4:

12 ÷ 4 = 3

28 ÷ 4 = 7

The ratio 12 : 28 can be reduced to lowest terms by dividing both terms by the GCF = 4 :

12 : 28 = 3 : 7

Therefore:

12 : 28 = 3 : 7

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The equation of the demand function is D(x) = 1400√(25-x²) + 11400

<h3>How to determine the demand function?</h3>

From the question, we have the following parameters that can be used in our computation:

Marginal demand function, D'(x) = -1400x÷√25-x²

Also, we have

D = 17000, when the value of x = 3

To start with, we need to integrate the marginal demand function, D'(x)

So, we have the following representation

D(x) = 1400√(25-x²) + C

Recall that

D = 17000 at x = 3

So, we have

17000 = 1400√(25-3²) + C

Evaluate

17000 = 5600 + C

Solve for C

C = 17000 - 5600

So, we have

C = 11400

Substitute C = 11400 in D(x) = 1400√(25-x²) + C

D(x) = 1400√(25-x²) + 11400

Hence, the function is D(x) = 1400√(25-x²) + 11400