Answer:
10
Step-by-step explanation:
Ground level is where h = 0, so solve the equation ...
h(x) = 0
-5(x -4)^2 +180 = 0 . . . . substitute for h(x)
(x -4)^2 = 36 . . . . . . . . . . divide by -5, add 36
x -4 = 6 . . . . . . . . . . . . . . positive square root*
x = 10 . . . . . . add 4
The object will hit the ground 10 seconds after launch.
_____
* The negative square root also gives an answer that satisfies the equation, but is not in the practical domain. That answer would be x = -2. The equation is only useful for time at and after the launch time: x ≥ 0.
Answer:
80 or 40 linear feet
Step-by-step explanation:
So the total amount of units for sides is 6. (2 2 1 1)
240 ÷ 6 = 40
So if the river was on the long side it would be 80feet, if the river was on the short side it would be 40feet
"for each hour that she works over 40hrs in a week" key words "for each hour" in that section of the sentence. so we take 489.85 divide that by 9.7 = 50 and then we divide 489.85 by 5 so that we can get 1/5 of 50, then we take 9.7 times 1.5 = 14.55 and divide that by 97.97
489.85/5 = 97.97/14.55 = 6.73 + 40hrs = 46.73hrs
Not sure why it's a decimal.. but I'm 100% sure that's how you solve it