Answer:
a)
0.8 hours
b)
1.1 kilometers/min
Step-by-step explanation:
a)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = 60 kilometers per hour
t = time taken for the train to travel from town A to town B
Time taken is given as
t = D/v
inserting the values
t = 45/60
t = 0.8 hours
b)
D = distance between town A and town B = 45 kilometers
v = speed of the train traveling from town A to town B = ?
t = time taken for the train to travel from town A to town B = 40 minutes
Speed of the train is given as
v = D/t
inserting the values
v = 45/40
v = 1.1 kilometers/min
The given expression is : (4x – 7.2) + (-5.3x-8)
Simplify :
Open the brackets :
(4x – 7.2) + (-5.3x-8) = 4x - 7.2 - 5.3x - 8
Arrange the variable and constant terms together :
(4x – 7.2) + (-5.3x-8) = 4x - 5.3x - 8 - 7.2
Solve the variable and constant terms together :
(4x – 7.2) + (-5.3x-8) = - 1.3x - 15.2
Since, the variable and constant term can not solve together so the above equation is the simplest form:
(4x – 7.2) + (-5.3x-8) = - 1.3x - 15.2
Answer : (4x – 7.2) + (-5.3x-8) = - 1.3x - 15.2
Answer:
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Step-by-step explanation:
Answer:
Step-by-step explanation:
The function used to represent the height of a punted football can be modeled as
f(x) = -.0079x² + 1.8x + 1.5
Where f(x) is the height in feet, and x is the horizontal distance, also in feet.
a) when the ball was punted, x = 0, therefore, the height of the punted ball would be
f(x) = -.0079(0)² + 1.8(0) + 1.5
f(x) = 1.5 feet
The height is 1.5 feet
b) The equation is a quadratic equation. The plot of this equation on a graph would give a parabola whose vertex would be equal to the maximum height reached by the punted ball.
The vertex of the parabola is calculated as follows,
Vertex = -b/2a
From the equation,
a = - 0.0079
b = 1.8
Vertex = - - 1.8/0.0079 = 227.84 feet
So the maximum height of the punt is 227.84 feet