Answer the question.A marathoner ran the 26.2 mile New York City Marathon in 2.5 hrs. Did the runner ever exceed a speed of 9 miles per hour?
What will be an ideal response?
Yes, the Mean Value Theorem implies that the runner attained a speed of 10.5 mph, which was her average speed throughout the marathon.
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Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.ln 
A. 
ln x
B. x ln 8
C. 8ln 
D. 8ln x
Solve the equation.10y = 3y + 6 + 6y
A. -60 B. 6 C. 60 D. -6
Determine whether the given function is one-to-one. If it is one-to-one, find its inverse.f(x) = x 
A. f-1(x) = x2 + 3
B. Not one-to-one
C. f-1(x) = x3 - 3
D. f-1(x) = x 
Provide an appropriate response.In factoring a trinomial in x as (x + a)(x + b), what must be true of a and b, if the coefficient of the last term of the trinomial is negative?
What will be an ideal response?