By applying the definition of continuity and knowing piecewise functions, we know that the solution to this system of linear equations is c = 10 and d = -8.
<h3>How to make a piecewise function continuous</h3>
According to the <em>functional</em> theory, functions are continuous for a given interval if and only if the function has an only value for each element of the interval. In the case of the <em>piecewise</em> function, we must observe these two conditions:
2 · x = c · x² + d, for x = 1 (1)
4 · x³ = c · x² + d, for x = 2 (2)
Then, we have the following system of linear equations:
c + d = 2 (1b)
4 · c + d = 32 (2b)
The solution to this system of linear equations is c = 10 and d = -8.
To learn more on piecewise functions: brainly.com/question/12561612
#SPJ1
Answer: the lengths of the line segments. hope this helps!
Step-by-step explanation:
Answer:
Lucinda can't do either since she only has 9 ounces
Step-by-step explanation:
Lucinda needs more than 9 ounces to do a bath of cupcakes and a batch of muffins.
Answer:
31.25 seconds
Step-by-step explanation:
Examine division
11.6 + 24.4 = 36 m < 50m
and 36 + 37.2 - 73.2m > 50m
50 - 36 = 14m
14 * 23.25/37.2 = 8.75 seconds
7.25 + 15.25 + 8.75 = 31.25 seconds
so it would take him 31.25 seconds to swim 50 meters.
