Answer:
The answer is -1.8
Step-by-step explanation:
5 x -1.8 = -9 = -9 divided by -1.8 = 5
3 - 1/8a = 1/4
The goal is to isolate "a" and its coefficient to make the simplification process easier.
Start by subtracting 3 from both sides:
3 - 3 - 1/8a = 1/4 -3
-1/8a = 1/4 - 3
Next, multiply 3 by 4/4 to convert it into a fraction:
-1/8a = 1/4 - [3 • (4/4)]
-1/8a = 1/4 - 12/4
-1/8a = - 11/4
Multiply both sides by -8:
(-8) -1/8a = - 11/4 (-8)
a = 88/4 = 22
Therefore, a = 22.
Jayne will need to drive 40 mph on the way back.
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:
brainly.com/question/6422517
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