The option that describes h(x) is B. The function h(x) is increasing on the interval (5, ∞).
<h3>What is a function?</h3>
In mathematics, a function simply means a relation between the inputs and the outputs.
In this case, the information given is that h(x) is 2 times the square root x minus 5. The square root of the negative number cannot be taken, therefore, the domain of the function is restricted.
Since the domain is restricted, the function is increasing. Therefore, the function h(x) is increasing on the interval (5, ∞).
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Answer:
The time(s) the ball is higher than the building: Interval (0,4)
Step-by-step explanation:
s(t)=-16t^2+64t+400
Determine the time(s) the ball is higher than the building:
s(t)>400
-16t^2+64t+400>400
Subtracting 400 both sides on the inequality:
-16t^2+64t+400-400>400-400
-16t^2+64t>0
Multiplying the inequality by -1:
(-1)(-16t^2+64t>0)
16t^2-64t<0
Fatorizing: Comon factor 16t:
16t(16t^2/16t-64t/16t)<0
16t(t-4)<0
t is greater than zero:
t>0→t-4<0→t-4+4<0+4→t<4
Then t>0 ant t<4:
Solution = (0, Infinite) ∩ (-Infinite, 4)
Solution = (0,4)
To find the volume,we would first need to find the height of square pyramid, by it's base edge and slant height using Pythagoras theorem:
We can then use the pyramid formula to find the volume:
In this case,the volume will be:
10×_/69×1/3
=27.68874...
≈27.7 units^3
Hope it helps!
Answer:
(-7,-3)
Step-by-step explanation:
From A to M, the x value went down 2. If it goes down another 2, it will be at -7.
From A to M, the y value went down 3. If it goes down another 3, it will be at -3.
(-7,-3)
