By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.
<h3>How to determine the maximum height of the ball</h3>
Herein we have a <em>quadratic</em> equation that models the height of a ball in time and the <em>maximum</em> height represents the vertex of the parabola, hence we must use the <em>quadratic</em> formula for the following expression:
- 4.8 · t² + 19.9 · t + (55.3 - h) = 0
The height of the ball is a maximum when the discriminant is equal to zero:
19.9² - 4 · (- 4.8) · (55.3 - h) = 0
396.01 + 19.2 · (55.3 - h) = 0
19.2 · (55.3 - h) = -396.01
55.3 - h = -20.626
h = 55.3 + 20.626
h = 75.926 m
By applying the <em>quadratic</em> formula and discriminant of the <em>quadratic</em> formula, we find that the <em>maximum</em> height of the ball is equal to 75.926 meters.
To learn more on quadratic equations: brainly.com/question/17177510
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Answer:
Step-by-step explanation:
we know that
The phrase "Three times the quantity five less than x" means 3 multiplied by the difference of x minus 5
3(x-5)
The phrase "the product of six and x" means the number 6 multiplied by x
6x
therefore
The phrase" Three times the quantity five less than x, divided by the product of six and x" is equal to the quotient of 3(x-5) and 6x
Chun wants to <span>reduce the weight of garbage produced to 85% of the weight produced this month.
This means that, Chun's garbage weight next month should be equal to 85% of his garbage weight this month.
Translating this into an equation, we will find that:
garbage weight next month = 85% of garbage weight this month
garbage weight next month = 0.85 * garbage weight this month
garbage weight next month = 0.85*690
garbage weight next month = 586.5 pounds
Based on the above calculations, his target weight for the garbage next month is </span>586.5 pounds
Step-by-step explanation:
A. a numerical expression I am pretty sure
3/4 of the pizza is left
3/4 = 6/8
There are 6 "1/8" portions left
hope this helps
