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seropon [69]
3 years ago
10

The quadratic function f (x) = - 45x2 + 350x + 1,590 models the population of a city where x represents the number of years sinc

e 2005 and f (x) is the population of the city in thousands of people. What is the estimated population of the city in 2010?
Mathematics
1 answer:
kramer3 years ago
3 0

Answer: 2,215,000

Step-by-step explanation:

Given: The quadratic function f (x) = - 45x^2 + 350x + 1,590 models the population of a city where x represents the number of years since 2005.

To Find:  population of the city in 2010

We need to put x= 2010-2005 = 5

f (5) = - 45(5)^2 + 350(5) + 1,590\\\\=-1125+1750+1590 =2215

Hence, the estimated population of the city in 201 = 2215 thousands or 2,215,000 .

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vladimir1956 [14]

Answer:

He is 27 years old.

Step-by-step explanation:

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Hope this answer helps you!! :)

8 0
3 years ago
Use set-builder notation to describe the following sets: (a) {1,2,3,4,5,6,7} (b) {1, 10, 100, 1000, 10000} (c) {1,1/2, 1/3, 1/4,
Alja [10]

Answer:

A) The set builder notation is: {n | n∈Z, 1≤n≤7}.

B) The set builder notation is: \{10^x | x=0,1,2,3,4\}

C) The set builder notation is: \{\frac{1}{n} | n\in z\}

D) The set builder notation can be: \{x\ \in R | x=x^3\ and\ x\neq 1\}

Step-by-step explanation:

Consider the provided information,

We need to use set-builder notation to describe the following sets.

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Here, the number are integer starting from 1 to 7.

Thus, the set builder notation is: {n | n∈Z, 1≤n≤7}.

(b) {1, 10, 100, 1000, 10000}

The above set can be written as:

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(c) {1, 1/2, 1/3, 1/4, 1/5, ...}

Here the numerator is 1 for each term but denominator is natural number.

Thus, the set builder notation is: \{\frac{1}{n} | n\in z\}

(d) {0}

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8 0
3 years ago
I need help someone please
statuscvo [17]

Answer: \frac{6}{2}

Step-by-step explanation:

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4. Replace -4 to f(8) and -10 to f(6)

5. So it will look like\frac{-4-(-10)}{8-6}

6. Solve \frac{6}{2}

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iren [92.7K]

Answer:

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Step-by-step explanation:

if my eyes are good then yes

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3 years ago
Identify which table shows a direct variation.
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