I f a, b and c are the roots of the equation x 3−7x

2+x−5 = 0 , find the equation

whose roots are a + b, b + c, a + c​

Find the indicated value, where g(t) = t^2-t and f(x)= 1+x a. -2 b. 0 c. 2 d. 8

Samantha swam upstream for some distance in one hour. she then swam downstream the same river for the same distance in only 12 minutes. if the river flows at 4 mph, how fast can samantha swim in still water?

Which is the equation of an ellipse with directrices at x = ±4 and foci at (2, 0) and (−2, 0)?