The height in feet above the water of a diver can be modeled by the function f(x) = -3x 2+ 6x + 24, where x is the time in seconds after the diver begins the dive. How long does it take the diver to reach the water? What is the maximum height achieved by the diver? When does it occur? How high is the diver after 2.4 seconds? When is the diver 15 feet above the water? What is a reasonable domain for this situation? What is a reasonable range?

the sum of the lengths of any two sides of a triangle is greater than the length of the third side. if you take the three sides of a triangle and add them in pairs, the sum is greater than (not equal to) the third side. if that is not true, then it is not possible to construct a triangle with the given side lengths.

step-by-step explanation:

answer: rolling a number cube and flipping a coin.

step-by-step explanation:

the revenue of the fitness center, y, is the product of two factors: the number of members and the fee paid by each member. there are 320 members now, but number of members goes down by 10 for each $5 increase in fees, so if x is the number of $5 price increases then members is equal to (320 - 10x). since the fee is currently $45, and the fee increases by $5 for every price bump x, the fee is given by (45 + 5x). so, revenue y is given by y = (320 - 10x)(45 + 5x).