Answer:
400 ft
Step-by-step explanation:
h(t)= -16t^2 + 160t
The vertex is found at
h = -b/2a where b is the coefficient of t and a is the coefficient of t^2
= -160/(2*-16)
-160/-32
5
The time where the maximum occurs is at t=5
To find the maximum substitute into the function
h(5) = -16 (5)^2 +160*5
= -16*25 +800
=-400+800
= 400
The maximum height is 400 ft
Answer: x=3.6; y=-2.5
Step-by-step explanation:
To solve this pair of equations, we can use elimination method.
5x+4y=8
10x-4y=46
Add both equations together to cancel out 4y.
15x=54 [divide both sides by 15]
x=3.6
Now that we know x, we can plug it back into any equation to find y.
5(3.6)+4y=8 [multiply]
18+4y=8 [subtract both sides by 18]
4y=-10 [divide both sides by 4]
y=-2.5
Now, we have x=3.6 and y=-2.5.
5cm each month is how much she must be growing
<span>1m +
35cm = .35m +
3m +
90cm =.90 m +
25mm = .025m +
</span>
<span><span>+ 1.0 m
+ 0.35m
+ 3.0 m
+ 0.90 m
+ 0.025m</span>
= 5.275 meters
</span>