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3 years ago

Evaluating a piecewise defined function

Mathematics

1 answer:

Dafna11 [192]3 years ago

4 0

Given : if x belongs to the interval -2 ≤ x < -1, then f(x) = -2

As x = -2 belongs to the interval -2 ≤ x < -1 ⇒ f(-2) = -2

As x = -1.5 belongs to the interval -2 ≤ x < -1 ⇒ f(-1.5) = -2

Given : if x belongs to the interval 1 ≤ x < 2, then f(x) = 1

As x = 1 belongs to the interval 1 ≤ x < 2 ⇒ f(1) = 1

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Consider this scenario: The population of a city increased steadily over a ten-year span. The following ordered pairs show the p

frutty [35]

Answer:

$y = 0.00587x +1986.406$

Step-by-step explanation:

Given that the population of a city increased steadily over a ten-year span. The following ordered pairs show the population x and the year y over the ten-year span in the form (x, y) for specific recorded years.

x y

2500 2001

2650 2002

3000 2004

3500 2007

4200 2011

Slope 0.005865485

Intercept 1986.406413

So regression line is

$y = 0.00587x +1986.406$

When population = 15000

$0.00587(17000)+1986.406\\=2074.389$

3 0

3 years ago

−15x+4≤109 OR −6x+70>−2

Xelga [282]

$-15x+4\leq109\qquad\text{subtract 4 from both sides}\\\\-15x\leq105\qquad\text{change the signs}\\\\15x\geq-105\qquad\text{divide both sides by 15}\\\\\boxed{x\geq-7}\\or\\-6x+70>-2\qquad\text{subtract 70 from both sides}\\\\-6x>-72\qquad\text{change the signs}\\\\6x$

3 0

3 years ago

Read 2 more answers

Kiera already has 12 plants in her backyard and she can also grow 1 plant with every seed packet she uses. How many seed packets

Elza [17]

Answer: 12

Step-by-step explanation: 24 - 12 times 1

7 0

3 years ago

What must be true regarding the distribution of the population? A. The population must be normally distributed and the sample s

Karolina [17]

Answer:

C. The population must be normally distributed.

Step-by-step explanation:

Population distribution have to do with the classification of people living in a particular geographical area into different segment such as Age, Occupation, Sex, Geographical location.

For instance

If Age distribution is use, the total number of people living in say New york will classified into 0-10 11-19years 20-29years and so on

Sex distribution involves distribution into the male and Female Category

Occupation distribution of Population involves classification of occupant of an area according to their Job.. I.e.Drives-15 people, Lawyer =2 people and so on.

Geographical location distribution of population involves the classification of people living in a particular country according to their geographical names. I.e. Abuja=3.5million people etc.

5 0

3 years ago

Use the information to answer questions 8 and 9.

inessss [21]

Answer:

Step-by-step explanation:

the factors and prime factorization of 36 and 54. The biggest common factor number is the GCF number. So the greatest common factor 36 and 54 is 18.

8 0

3 years ago