Answer:
6.34 seconds.
Step-by-step explanation:
The object will hit the ground when h = 0.
-16t^2 + 90t + 72 = 0
8t^2 - 45t - 36 = 0
We can then use the quadratic formula to solve.
[please ignore the A-hat; that is a bug]
= 
= 
= 
(45 - 56.36488268) / 16 = -0.7103051678
(45 + 56.36488268) / 16 = 6.335305168
Since the time cannot be negative, the object will hit the ground after about 6.34 seconds.
Hope this helps!
The first to solve x, because it eliminates y. Third one to solve y, because it eliminates x.
1) you do 144× 12 since you want to know how much all kids pay so its 1728 dollars.
2) they want 2 section a, 3 section b, and 2 section c, and sincc you want to know total you multiply number of tickets bought by cost per ticket, so its 2(10)+3(20)+2(30)=180 total cost.
3) sine they have 350 dollars yoy subtract cost of the ps4 from the amount they have and you get, 350-234=116 dollars remaining.
4) since they make 15 per lawn you write 15x, x representing number of lawns cut, and you set that equal to 225, so its 15x=225 then you divide 15 on both sides to get x= 15 lawns they need to cut.
5) you just divide 2/4 since they ate two of four slices and you get .5 then convert that to a decimal by moving decimal point 2 spaces over to get 50%.
6) Just add up all the costs of each song, so you get .99+1.19+1.5+.99 = 4.67 dollars as total cost.
7) since 60 min is in an hour and you have 30 min left over it would be 1hr and 30 min.
8) since its Monday through Friday which is only 5 days you multiply that by 4 weeks to get 20 days then you multiply by 30 since they study 30 min on each of those days, so you get 20×30 which is 600min of studying, but since it want is in hours divide 600 by 60 to get 10hrs of study.
I do suppose that you refer to adding these quantities:
6/1 + 21 = 6 + 21 = 27
<span>and
6/10 + 21
</span>= 3/5 + 21
= 3/5 + 105/5
<span>= 108/5</span>
Answer:
Where h,k represent the vertex and we got:
(5,6)
Step-by-step explanation:
We have this original function given :
And we want to find the vertex for this new function 
and we have:
And solving the square we got:
And adding similar terms we got:
Now we can complete the square like this:
The general equation is given by:
Where h,k represent the vertex and we got:
(5,6)
