In piecewise linear functions, the endpoint of one segment and the initial point of the next segment can have the same x-coordinate but a different value of f(x).
Such difference in values is called a step or discontinuity and such a function is called a discontinuous function.
Here in this case, there are 3 discontinuities: x=-3, x=3 and x = 5.
x = -3 because x is smaller than or greater than -3 but not equal.
x = 3 since greater than 3 in one of the inequalities.
x = 5 since x is smaller than 5 in one of the limits.
Answer:
a = 4
Step-by-step explanation:
a^2 + b^2 = c^2
a= ?
b= 3
c= 5 (c is always the hypotenuse)
*plug in given values
a^2 + 3^2 = 5^2
a^2 + 9 = 25
-9 -9
a^2 = 16
*find the square root
sqrt(a) = sqrt(16)
a = 4
9514 1404 393
Answer:
- -2.2(6) +1.8(4) . . . temperature change
- 42 °C
Step-by-step explanation:
At the end of the first 6 hours, the temperature change was ...
(-2.2 K/h)(6 h) = -13.2 K
The change in the next 4 hours was ...
(1.8 K/h)(4 h) = 7.2 K
Then the total change over the 10-hour period was ...
(-2.2)(6) +(1.8)(4) . . . . . expression for temperature change
This evaluates to -13.2 +7.2 = -6.
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The final temperature is the sum of the initial temperature and the temperature change:
final temperature = 48 °C -6 °C = 42 °C
_____
<em>Additional comment</em>
When temperature is measured on the Celsius scale, a change of 1 degree is called a kelvin (K).
.2 (simplified from 0.20)
2/10 (simplified from 20/100)
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