(100 pts.) Determine whether the following statement is sometimes, always, or never true. Justify your answer. If line XY is on a number line and point W is 2/5 of the distance from X to Y, then the coordinate of point W is greater than the coordinate of point X.

The image of the point (-6, -2)under a translation is (−7,0). find the coordinates of the image of the point (7,0) under the same translation.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

Shane can shovel the driveway in 4 hours, but if his sister it would take 2 hours. how long would it take taylor to shovel the driveway alone