1. The solution for the equation is -16t² + 64t > 0
2. The interval notation for the equation is (0, 4)
Given,
The height of the building = 400 feet
A ball is thrown straight up from the top of the building.
The initial velocity of the ball = 64 feet/second
The height of the object is modeled by, s(t) = -16t² + 64t + 400
1. Solution for the equation:
s(t) > 400
So,
-16t² + 64t + 400 > 400
Add -400 to both sides
ie, -16t² + 64t + 400 - 400 > 400 - 400
We get,
-16t² + 64t > 0
2. Now find the interval notation for the equation:
-16t² + 64t > 0
Here, 64/16 = 4
So,
-16t (t - 4) > 0
Now,
t = 0 and t - 4 = 0
The interval notation for the equation is (0, 4)
Learn more about interval notation here:
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Answer:
(-1, -2)
Step-by-step explanation:
-9x= 5 - 2y
15x = -11 + 2y => 2y = -11 - 15x
Plug the value for 2y into the first equation.
-9x = 5 - 15x - 11. Solve for x.
-9x = -6 - 15x.
-9x + 15x = -6.
6x = -6.
x = -1.
Now that we found x, we will solve for y.
2y = -11 - 15(-1)
2y = -11 + 15
2y = -4
y = -2.
Thus, our solution set is (-1, -2).
Hope this helps!
If area then
3 x 12 = 36
1 x 3 = 3
36 + 3 = 39
area = 39 ft^2
18 because that’s the greatest common factor for all of them