By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
<h3>How to evaluate a piecewise function at given values</h3>
In this question we have a <em>piecewise</em> function formed by three expressions associated with three respective intervals. We need to evaluate the expression at a value of the <em>respective</em> interval:
<h3>r(- 3): </h3>
-3 ∈ (- ∞, -1]
r(- 3) = - 2 · (- 3) + 9
r (- 3) = 15
<h3>r(- 1):</h3>
-1 ∈ (- ∞, -1]
r(- 1) = - 2 · (- 1) + 9
r (- 1) = 11
<h3>r(1):</h3>
1 ∈ (-1, 5)
r(1) = 2 · 1² - 4 · 1 - 5
r (1) = - 7
<h3>r(5):</h3>
5 ∈ [5, + ∞)
r(5) = 4 · 5 - 7
r (5) = 13
By understanding and applying the characteristics of <em>piecewise</em> functions, the results are listed below:
- r (- 3) = 15
- r (- 1) = 11
- r (1) = - 7
- r (5) = 13
To learn more on piecewise functions: brainly.com/question/12561612
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Answer:
Step-by-step explanation:
The sum of angles in a triangle is always 180 degrees.
x+40+80=180
x+120=180
x=60 degrees
The only equation that is written in descending order is
2x³+4x²-7x+5 , Option D is the correct answer.
<h3>What is a Polynomial ?</h3>
A polynomial is a mathematical expression consisting of variables , constants and mathematical operators.
The standard form of a polynomial is
The only equation that is in its standard form or in other words
The only equation that is written in descending order is
2x³+4x²-7x+5 , Option D is the correct answer.
To know more about Polynomial
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Numbers are 4 and 8
<u>Step-by-step explanation:</u>
Step 1:
Let the numbers be x and y. Given that their sum is 12 and difference is 4. Form equations for this data.
⇒ x + y = 12 ------ (1)
⇒ x - y = 4 -------- (2)
Subtract eq (2) from (1)
⇒ 2x = 8
⇒ x = 4
Step 2:
Find y.
⇒ y = 12 - x = 12 - 4 = 8
