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Naily [24]
3 years ago
12

Given the piecewise function shown below select all the statements that are true

Mathematics
2 answers:
alexandr402 [8]3 years ago
6 0

Answer:

The correct options are f(-1)=2 and f(1)=0.

Step-by-step explanation:

We are given the function,

\left\{\begin{matrix}-x+1&x0\end{matrix}\right.

Now, according to the options, we have,

When x= -1 and x= -2, the function is f(x)=-x+1.

Then, f(-1)=-(-1)+1=1+1=2

Also, f(-2)=-(-2)+1=2+1=3

When x= 1 and x= 4, the function is f(x)=x^2-1

Then, f(1)=1^2-1=1-1=0

Also, f(4)=4^2-1=16-1=15

Thus, the correct options are f(-1)=2 and f(1)=0.

Rina8888 [55]3 years ago
3 0
The piecewise function tells us specific rules he should execute based on the input x we put in. For example for answer A is true since we use the top function f(x) = -x + 1 since the input is -1 which is less than 0 (x < 0). We check to make sure the equation comes out true:

f(-1) = -(-1) + 1

f(-1) = 2 ✓
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3 years ago
In 2010, the population of a city was 241,000. From 2010 to 2015, the population grew by 5%. From 2015 to 2020, it fell by 4%. T
lawyer [7]

Answer:

242, 900 people

Step-by-step explanation:

To begin, it says that the population grew by 5%.

(241000)(1.00 + 0.05) = <em>population of the city in 2015</em>

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(253050)(1.00 - 0.04) = <em>population of the city in 2020</em>

(253050)(0.96) = 242928

242928 is the exact population of the city. However, it says to round to the nearest hundred. Since 28 is less than 50, then it would round down to 900.

Therefore, the answer would be 242, 900 people.

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2 years ago
Sales at an airport shop has increased by 25 transactions to a total of 400 transactions per day. What is the increased transact
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Answer:

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A _[blank 1]_ is a number whose only factors are 1 and itself. If a number has other factors besides 1 and itself, it is called
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Numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Given a paragraph in which there are blanks:

A _____ is a number whose only factors are 1 and itself. If a number has  factors besides 1 and itself, it is called a _____. You can use divisibility rules or _______ to help you determine whether a number is prime or composite.

We are required to fill the blank with appropriate options.

We have to fill "prime numbers" in the first blank.

We have to fill "composite numbers" in the second blank.

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Hence numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Learn more about prime numbers at brainly.com/question/145452

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1 year ago
The polynomial function f(x) is a fourth degree polynomial. Which of the following could be the complete list of the roots of f(
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Answer:

the answer is A

Step-by-step explanation:

8 0
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