Answer:
The maximum height of the particle is 100 ft
A is correct
Step-by-step explanation:
A particle is moving along a projectile path where the initial height is 96 feet with an initial speed of 16 feet per second.
The standard equation of parabolic projectile.

where,



So, we get the parabolic equation of path.
The maximum value at vertex.


Maximum at t=0.5


Hence, The maximum height of the particle is 100 ft
The expression which shows the total cost is 2.50+0.4x and the cost of riding 20 miles is $10.50.
Given a taxi charges $2.50 for the first mile and $0.40 for each mile
We are required to make an expression showing total cost and total cost of a 20 mile ride.
let the miles ride by tax be x.
Total cost of the product or service=Number of units*price of one units.
We have been given that $2.50 is fixed so we will not multiply our variable charge with $2.50 and multiply 0.40 with x.
So,the expression showing looks like 2.50+0.40x.
Now to find the cost when taxi travels 20 miles, we have to put x=20,
Cost=2.50+0.40*20
=2.50+(40*20)/100
=2.50+800/100
=2.50+8
=$10.50
Hence the expression which shows the total cost is 2.50+0.4x and the cost of riding 20 miles is $10.50.
Learn more about expression at brainly.com/question/723406
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Answer:
<h2>x = -3.6</h2>
Step-by-step explanation:
6 + 5x - 2 = -14
5x + (6 - 2) = -14
5x + 4 = -14 <em>subtract 4 from both sides</em>
5x = -18 <em>divide both sides by 5</em>
x = -3.6