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:
x=-2 y=-6
Step-by-step explanation:
x-4=4x+2
subtract x from both sides
-4=3x+2
subtract 2 from both sides
-6=3x
divide by 3 on both sides
x=-2
y=-2-4=-6
y=4(-2)+2=-8+2=-6
Answer:
50%
Step-by-step explanation:
Well, let's check if your inequality is true. We have to add the 3 scores up and divide them by 3 to know the average.
73 + 81 + 86 = 240
240 / 3 = 80
80%
That's true, now let's check 101.
73 + 81 + 101 = 255
255 / 3 = 85
85%
That's true.
Your inequality is correct.
<em><u>200x3=600</u></em>
<em><u>50x3=150</u></em>
<em><u></u></em>
<em><u></u></em>
<em><u>600+150=750</u></em>
<em><u></u></em>
<em><u>750</u></em>