For the seagull to catch the crab, h(t)=g(t) so:
-16t^2+45=-13t+23 add 16t^2 to both sides
45=16t^2-13t+23 subtract 45 from both sides
16t^2-13t-22=0 using the quadratic equation:
t=(13±√1577)/32, since t>0
t=(13+√1577)/32 seconds
t≈1.65 seconds (to nearest hundredth of a second)
And the height that this occurs using either original equation is:
h((13+√1577)/32)≈1.59 ft (to nearest hundredth of a foot)
Answer:
240
Step-by-step explanation:
Given that each book on a certain shelf is labeled by a single category. For every 2 history books, there are 7 fantasy books and for every 3 fantasy books, there are 5 reference books
Let history, fantasy and reference books be x,y,z
Then x:y =2:7, y:z = 3:5
Or x:y:z =6:21:35
Now when we double x:y we get
x:y = 4:7 while y:z=3:5
we get
x:y:z = 12:21:35
Original fantasy books = 
New fantasy books = 
Difference = 0.3387-0.3088
=0.299
Approxly 3 is differene equivalent to 60
So new X = 
Answer: 465.3/ 16.5=28.2 miles/gallon. Hope this helps!
Step-by-step explanation:
Answer: x and y is 0
Step-by-step explanation:
X = 0
y = 0
0.86z would be the answer!