Answer:
Explanation:
To determine whether the rope will reach the seventh-floor window, we need to find the value of 't' when the height above her, represented by the function h = -16t² + 36t, is equal to 40 feet.
Setting h = 40, we have:
40 = -16t² + 36t
To solve this quadratic equation, we can rearrange it to:
16t² - 36t + 40 = 0
However, upon solving this equation, we find that it does not have any real solutions. This means that there is no value of 't' for which the height above her will be exactly 40 feet. Therefore, the rope will not reach the seventh-floor window, as she needs to throw it 40 feet above her.