Suppose the path of a golf ball in a chip shot from a small hill, follows the path graphed by the quadratic function f(d)= -1.6d^2+3.3d+0.2 where d is the horizontal distance the ball travels, and the f(d) is the height, in meters, of the ball at d horizontal meters. find the maximum height of the ball and the horizontal distance the ball traveled to reach its maximum height. a. maximum height: 1.03 meters, to reach maximum height: 1.90 meters horizontally b. maximum height: 0.2 meters, to reach maximum height: 1.03 meters horizontally c. maximum height: 1.90 meters, to reach maximum height: 1.03 meters horizontally d. maximum height: 1.03 meters, to reach maximum height: 1.6 meters horizontally

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis. 3- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in part b?

Jane moves from a house with 71 square feet of closet space to an apartment with 45.44 square feet of closet space. what is the percentage decrease of jane’s closet space?

You can ride your bike around your block 6 times and the whole neighborhood 5 times in 16 minutes. you can ride your bike around your block 3 times and the whole neighborhood 10 times in 23 minutes. how long does it take you to ride around the neighborhood?