The maximum height the ball achieves before landing is 682.276 meters at t = 0.
<h3>What are maxima and minima?</h3>
Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.
We have a function:
h(t) = -4.9t² + 682.276
Which represents the ball's height h at time t seconds.
To find the maximum height first find the first derivative of the function and equate it to zero
h'(t) = -9.8t = 0
t = 0
Find second derivative:
h''(t) = -9.8
At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.
Maximum height at t = 0:
h(0) = 682.276 meters
Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.
Learn more about the maxima and minima here:
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Answer:
x < 8
Step-by-step explanation:
x= # of hikes
3x +16 =5x
-3x. -3x
16=2x
16/2= 8
2x/2= x
8=x
x=8
check:
3(8) +16 =5(8)
24 +16 =40
40=40 ✓
there for at 8 hikes with either deal it would be the same but if you went up a number of hikes for the first option it would only be $43.00 spent in total. but with the second option it would be $45.00.
Answer:
I give the crown
if you do
Step-by-step explanation:
Answer:X=5
Step-by-step explanation:
6x + 12 = 42
-12. -12
6x=30
6x. 6
X=5
Check
6(5)+12=42
30+12
42
Answer:
(8,6)
Step-by-step explanation:
count manually to get (8,6)
