The variables x and y have a proportional relationship: when x is 4, y is 11. What is the constant of proportionality for this relationship?

Enter your answer, as a decimal, in the box.

What is f(3) for the quadratic functionf(x)=2x2 + x – 12? f -3g 3h 6i. 9

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.

In right ∆abc shown below, the midpoint of hypotenuse ac is located at d and segment bd is drawn.if ab = 12 and bc = 16, then explain why bd = 10. hint: consider what you know about the diagonals of a rectangle.