Answer:
1 1/2
Step-by-step explanation:
1/4 + 1/3 + 11/12
Multiplying the equations to have a common denominator (12).
1/4 times 3 = 3/12
1/3 times 4 = 4/12
3/12 + 4/12 + 11/12
Then add.
18/12
Then convert to mixed fraction.
1 6/12
Then simplify the fraction.
1 1/2
Answer:
with what
Step-by-step explanation:
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:
True
Step-by-step explanation:
hope this helps you
<h3>
Answer: slope = 1/3</h3>
===================================================
Work Shown:
Use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (0 - (-3))/(9 - 0)
m = (0 + 3)/(9 - 0)
m = 3/9
m = 1/3
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Basically we subtract the y coordinates, and do the same for the x coordinates as well (subtract in the same order). Afterward, divide the two results. Reduce the fraction as much as possible.
A slope of 1/3 means we move up 1 unit each time we move to the right 3 units.
The slope being positive means the line goes uphill as you read from left to right.
