Use the definition of continuity and the properties of limits to show that f(x)= x^2-49/(x^2+6x-7)(x^2+14x+49) is continuous at x=5

1. there are 25 students who started computer programming in elementary school and 25 students who started computer programming in middle school. the first group had a mean final project grade of 95% and the second group had a mean final project grade of 92%. the line plot shows the differences after 10 rerandomizations. determine whether the difference in the means of the two groups is significant based on the line plot. explain your answer.

Acylinder and its dimensions are shown. which equation can be used to find v, the volume of the cylinder in cubic centimeters?

Find the zero function by factoring (try to show work) h(x)=-x^2-6x-9