1. Tracy and Eric are timing how fast marbles roll down an inclined plane. They plan to do this 5 times, and then take the average time for their results. What would be the BEST way to improve the accuracy of
their data?

A. Include marbles of three different colors in their investigation
B. Include the average of 20 trials down the inclined plane
C. Use marbles of 10 different densities
D. Use toy cars instead of marbles

his research revealed two genetically different groups of prokaryotes, which justified splitting kingdom monera into two kingdoms. the genetic and cellular differences were so great, that these two kingdoms were eventually placed into different domains in the current three-domain system.

answer-

the statement that f(x) = |x+a| + b has exactly one x-intercept is sometimes correct.

solution-

it solely depends on b, whether the function will have one or two or zero x intercept.

this plot of the given function, f(x) = |x+a| + b will be the basic absolute value graph i.e v shape, with vertex translated to (-a, b), instead of origin.

1-   if b is zero, the graph will have exactly one x-intercept, at x= -a

2- if b is positive, the whole graph will be above the x-axis, hence it will have no x-intercepts.

3- if b is negative, the graph will be below the x-axis, hence it will have two x-intercepts.

∴ the statement is sometimes true.