Provide an appropriate response.Use the Intermediate Value Theorem to prove that x(x - 8)2 = 8 has a solution between 7 and 9.
What will be an ideal response?
Let f(x) = x(x - 8)2 and let y0 = 8. 
and 
Since f is continuous on 
and since 
is between 
and 
by the Intermediate Value Theorem, there exists a c in the interval 
with the property that 
Such a c is a solution to the equation 
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Solve the problem. Round your answer to the nearest tenth unless otherwise indicated.Thompson's Hardware spent $40,570 this year on business insurance alone. If total sales were $707,800, what percent of total sales was spent on business insurance? Round to the nearest tenth of a percent.
A. 5.7% B. 17.4% C. 174.0% D. 0.6%
Without using a calculator, determine the value of the trigonometric function or state that the value is undefined.tan 
A. 
B. - 
C. 
D. 
Write the first four terms of the sequence.an = 4(n + 2)!
A. 24, 96, 480, 2880 B. 8, 24, 96, 480 C. 8, 48, 288, 1920 D. 24, 192, 1440, 11,520
Solve the problem.The area of a rectangle is 10m2 - 17m - 20. Find the length if the width is 2m - 5.
A. 10m - 4 B. 10m + 4 C. 5m + 4 D. 5m - 4