true or false
the codomain of a linear transformation is a subset of the range.
if t is a linear transformation and v ∈ range(t), then there is at least one u in the domain such that t(u) = v
if t(x) is not a linear transformation, then t(rx) 6= rt(x) for all r and x.
if a linear transformation t : r3 → r3 is one-to-one, then it must be onto as well.
if t is a linear transformation, then t(0) = 0.

Angel entered a triathlon (a three-part race). he swam 1 mile, rode his bike 30 miles, and ran 10 miles. how far did he go altogether? a. 11 miles b. 123 miles c. 41 miles d. 40 miles

Someone answer asap for ! 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.

Solve the system by substitution. if the system is inconsistent or has dependent equations, say so. 5x-6y=-27 -5x+y=0