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
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Answer:
cubic units
Step-by-step explanation:
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37 and 89 are prime numbers
Answer:
<u>Part A: Total cost = 10 + 4s</u>
<u>Part B: Solving for s = 2</u>
<u>10 + 4 * 2 = US$ 18</u>
Correct statement and question:
Write an expression to represent admission to a zoo of $10.00 and the cost of special exhibits s at $4 each. Evaluate your expression when s = 2.
Source: https://www.slader.com/discussion/question/write-an-expression-to-represent-admission-to-a/
Step-by-step explanation:
1. Let's review the information provided to us to answer the question correctly:
Admission to the zoo = US$ 10
Special exhibit cost (s) = US$ 4
2. Evaluate your expression when s = 2
Total cost = Cost of admission + (s) * Special exhibit cost
Total cost = 10 + (s) * 4
<u>Total cost = 10 + 4s</u>
3. Solving for s = 2
10 + 4s
10 + 4 * 2 = US$ 18
