Prove that the roots of x²+(1-k)x+k-3=0 are real for all real values of k

The train station clock runs too fast and gains 5 minutes every 10 days. how many minutes and seconds will it have gained at the end of 9 days?

Sketch the region enclosed by the given curves. decide whether to integrate with respect to x or y. draw a typical approximating rectangle and label its height and width. y= 5x, y=7x^2then find the area s of the region.

If julia has a value of x5.4 that is equivalent to x10.9 true or false. explain