Answer:
64
Step-by-step explanation:
<em>[using calculus] </em>When the function h(t) reaches its maximum value, its first derivative will be equal to zero (the first derivative represents velocity of the ball, which is instantaneously zero). We have 
, which equals zero when 
. The ball therefore reaches its maximum height when t = 1.5. To find the maximum height, we need to find h(1.5), which is 64 feet.
<em>[without calculus] </em>This is a quadratic function, so its maximum value will occur at its vertex. The formula for the x-coordinate of the vertex is -b/2a, so the maximum value occurs when t = -48/(2*16), which is 1.5. The maximum height is h(1.5), which is 64 feet.
Well, you would need to compensate for the cost of the banquet hall adding an addition $700 to the goal of $1000.
If you need to raise at least $1700 you can write this inequality.
Let x represent the number of tickets sold.
15x≥1700
x≥ 114 (rounded to the nearest whole number because you can't sell half a ticket)
So, at least 114 tickets need to be sold.
Step-by-step explanation:
you cant add 1 to 5x, so subtract 1 on both sides leaving you with 1 + 5x < 4 that equals 5x < 3 -1 -1
then divide 5 from both sides 5x < 3 This leaves 5 5
you with x < 3/5
B 16 miles an hour
Hope this helps
Answer:
because you can't get closer to 0 on the number line than 0 units away.
Step-by-step explanation:
it's like walking if the point is 3 foot in front of you and you walk to it once you get to it then even if you keep walking you can't go a negative number of feet away from it because the closest you can get is right on it.
