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hoa [83]
2 years ago
9

y is directly proportional to the square root of x, y is 75 and x is 100. find a formula linking x and y

Mathematics
1 answer:
Law Incorporation [45]2 years ago
3 0

Answer:

y = 7.5\sqrt{x}

Step-by-step explanation:

given y is directly proportional to \sqrt{x} then the equation relating them is

y = k\sqrt{x} ← k is the constant of proportion

to find k use the condition y = 75 , x = 100 , then

75 = k\sqrt{100} = 10k ( divide both sides by 10 )

7.5 = k

y = 7.5\sqrt{x} ← equation of proportion

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Fudgin [204]

Answer:

Your answer is B

B) x+5

Step-by-step explanation:

x = 5

f(x) = 4x + 8 = 4(5) + 8 = 28

g(x) = 2x − 3 = 25 − 3 = 29

A quantity increasing exponentially eventually exceeds a quantity increasing linearly.

7 0
4 years ago
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The population of a small town is decreasing exponentially at a rate of 14.3% each year. The current population is 9,400 people.
levacccp [35]

Answer:

After 2.9 years the town's tax status will change

The towns tax status change within the next 3 years

Step-by-step explanation:

The question below is

Will the towns tax status change within the next 3 years ?

Let

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t ----> the number of years

we have a exponential function of the form

y=a(b)^{t}

where

a is the initial value

b is the base

In this problem

a=9,400\ people

b=100\%-14.3\%=85.7\%=85.7/100=0.857

substitute

y=9,400(0.857)^{t}

Remember that

The town's tax status will change once the population is below 6,000 people

so

The inequality that represent this situation is

9,400(0.857)^{t}< 6,000    

Solve for t

(0.857)^{t}< 6,000/9,400

Apply log both sides

(t)log(0.857)< log(6,000/9,400)

-0.067t< -0.1950

Multiply by -1 both sides

0.067t > 0.1950

t > 2.9\ years

so

After 2.9 years the town's tax status will change

therefore

The answer is

Yes, the towns tax status change within the next 3 years

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4 years ago
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Answer:

A youre welcome

Step-by-step explanation:

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4 years ago
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3 years ago
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