In exercises 18–20, determine whether or not the ivt applies to show that the given function takes on all values between f (a) and f (b) for x ∈ (a, b). if it does not apply, determine any values between f (a) and f (b) that the function does not take on for x ∈ (a, b). 18. f (x) = : x for x < 0 x2 for x ≥

If f(x)=-x^2+6x-1 and g(x)=3x^2-4x-1,find(f+g)(x)

Cor d? ? me ? max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Ten members of balin's soccer team ran warm ups for practice. each member ran the same distance. their combined distance was 5/6 of a mile. to find the distance that each member ran, balin wrote the expression below.