We were told that the distance 
is directly proportional to the time 
.
We write this mathematically as,
We can now introduce our constant of variation and write the equation for the direct equation as;
where 
is the constant of variation or constant of proportionality.
We substitute 
and 
, in to the equation of variation to obtain the constant of proportionality.
That is;
This implies that,
This simplifies to give us,
Now our equation of proportion becomes,
When T=20
Writing this as a mixed number we obtain,
This can also be rewritten as
correct to one decimal places.
Therefore the care covers 
miles in 
minutes.
-5^0 = equals equals = -1
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:
Angle A is 37 degrees, Angle B is 82 degrees, Angle C is 61 degrees
Step-by-step explanation:
Exterior angles are the supplement of interior angles, so subtract 143 from 180 to find Angle A.
180 - 143 = 37
All angles add up to 180.
37 + 61 = 98
180 - 98 = 82
Angle B is 82 degrees.
Hope this helped. :)
Yes, the answer would be ~8.24
