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Karolina [17]
3 years ago
6

statistical models predict that price p( in dollars) of a new smartphone will change according to the function p=900-4t^2. where

t is the number of months since january. which expression gives the.month t in terms of the price?
Mathematics
2 answers:
Drupady [299]3 years ago
6 0

Answer:

The expression \sqrt{\frac{p-900}{4}} gives the number of month t in terms of the price.                  

Step-by-step explanation:

 Given : Statistical models predict that price p( in dollars) of a new smartphone will change according to the function p=900-4t^2

We have to find the expression which gives the number of month t in terms of the price.

Consider the given function p=900-4t^2

Since, we have to find the expression for t , we have,

p=900-4t^2

Subtract 900 both side, we have,

p-900=-4t^2            

Divide both side by 4, we have,

\frac{p-900}{4}=t^2

Taking square root both side, we have,

\sqrt{\frac{p-900}{4}}=t

Thus, The expression \sqrt{\frac{p-900}{4}} gives the number of month t in terms of the price.

miskamm [114]3 years ago
5 0

You are given the function p=900-4t^2.

Express t:

4t^2=900-p,\\\\t^2=\dfrac{900-p}{4},\\\\t=\sqrt{\dfrac{900-p}{4}}.

This expression gives the  month t in terms of the price p.

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