g(x)= -|x+2| -1
The domain is the input values, or x values
it is all real number
The range is the output values, or g(x)
the absolute value at is smallest is 0
0-1 is -1 this is the max since the absolute value is multiplied by -1
g(x) <=-1
the output is less than or equal to -1
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
#SPJ1
Answer: No, it’s rational number
Answer:
Thus the length = 230 and width = 90.
Step-by-step explanation:
Farmer Fernanda wants to put a fence around her rectangular field. The length of the field is 40 feet less than 3 times the width.
She has 320 feet of fencing.
Let the length of the rectangular fence be x and the width of the fence be y.
Then the relation between them is
x = 3y - 40
Also x + y = 320
Solving these equations,
320 - y = 3y - 40
4y = 360
y = 90
x = 230
Thus the length = 230 and width = 90.
Answer:
6 times
Step-by-step explanation:
1/9 chance you get the orange marble. If you pick 54 times, you can expect to get the orange marble 6 times.
