Let (an)n∈N and (bn)n∈N be two real sequences with limn→[infinity] an = α ∈ R and |bn − an| ≤ 2 −n r where r > 0. Show that (bn)n∈N converges to α

If there is no real number solution to the quadratic equation x^2+2x+c=0 what is a possible value of c? 1 -2 0 3

The swimming pool is open when the high temperature is higher than 20∘c. lainey tried to swim on monday and thursday (which was 3 days later). the pool was open on monday, but it was closed on thursday. the high temperature was 30∘c on monday, but decreased at a constant rate in the next 3 days. write an inequality to determine the rate of temperature decrease in degrees celsius per day, d, from monday to thursday.

Plot a point at the y-intercept of the following function on the provided graph. 3y=-5x+7 20 points