S - 10,000 = 3,753A. s = 13,573B. s = 13,753C. s = 10,375
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a) C(0.5) = 39, C(2) = 39, C(4) = 69
b) Answers in part (a) represents the values of C at x = x₀
c) C(x) is continuous at x = 2
C (x) = 39 for 0 ⩽ x ⩽ 2
Since x = 0.5 is in the range 0 ⩽ x ⩽ 2:
C(0.5) = 39
Since x = 2 is in the range 0 ⩽ x ⩽ 2
C(2) = 39
Since x = 4 is in the range x > 2
C(4) = 39 + 15(x - 2)
C(4) = 39 + 15 (4 - 2)
C(4) = 39 + 15(2)
C(4) = 39 + 30
C(4) = 69
b) The answers in part A represents C(x). That is, the values of C at x = x₀
c) Is C(x) continuous at x = 2
C(2) = 39
Since , the function C(x) is continuous at x = 2
Learn more here: brainly.com/question/20710468
The solution to the inequality expression is x ≥ - 5
<h3>Inequality expressions</h3>Inequality are expressions not separated by an equal sign. Given the inequality;
–4(x + 3) ≤ –2 – 2x
Expand
-4x - 12 ≤ -2 - 2x
Collect the like terms
-4x + 2x ≤ -2 + 12
-2x ≤ 10
Divide both sides by -2
-2x/-2 ≤ 10/-2
x ≥ - 5
Hence the solution to the inequality expression is x ≥ - 5
learn more on inequality here: brainly.com/question/24372553
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