Provide an appropriate response.Use the Intermediate Value Theorem to prove that 2x3 + 3x2 - 8x - 2 = 0 has a solution between -3 and -2.
What will be an ideal response?
Let f(x) = 2x3 + 3x2 - 8x - 2 and let y0 = 0. f(-3) = -5 and f(-2) = 10. Since f is continuous on 
and since y0 = 0 is between f(-3) and f(-2), by the Intermediate Value Theorem, there exists a c in the interval (-3 , -2) with the property that f(c) = 0. Such a c is a solution to the equation 
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Provide an appropriate response.Which of the following best describes how the modified quota is found?
A. Divide the state's population by the modified divisor B. Trial and error C. Divide the state's population by the standard quota D. Divide the state's population by the standard divisor
Solve the equation algebraically.5(x - 1.5) = 9.3
A. 16.8 B. 1.56 C. 2.16 D. 3.36
Multiply and simplify.
? 108x
A. 
B. 
C. 6,804x
D. 
Find the indicated set given A = {-3, 0, 2, 5, 6, 11, 16, 23}, B = {-3, 0, 16, 23}, and 
A ? B
A. {-3, 0, 2, 5, 6, 16} B. {0, 2, 5, 6, 11, 23} C. {5, 11} D. {-3, 0, 16, 23}