Two linear functions f(x) and g(x) are graphed on the same coordinate plane. the graphs of the functions are parallel where f(x) has a y-intercept at (0, −1315 ) and g(x) has a y-intercept at (0, 812).

determine whether the statements are true or false about f(x) and g(x).

true or false: g(x)is the image of f(x) after a vertical translation up 15 units.

true or false: g(x)is the image of f(x) after a vertical translation up 2315 units.

true or false: g(x)=f(x)+2315

true or false: g(x)=f(x)−2315

Given abcd ac=38 and ae=3x+4 find the value of x

Two cyclists 84 miles apart start riding toward each other at the samen time. one cycles 2 times as fast as the other. if they meet 4 hours later what is the speed (in miles) of the faster cyclists

Needmax 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.