The vertex<span> of a </span>parabola<span> is the point where the </span>parabola<span> crosses its axis of symmetry. If the coefficient of the x 2 term is positive, the </span>vertex<span> will be the lowest point on the graph, the point at the bottom of the “ U ”-shape.
</span><span>
The vertex of the parabola whose equation is y = x^2 + 8 x + 12 will be :
</span>(x , y) = (-4,-4)
Answer:People often use the terms free enterprise, free market, or capitalism to describe the economic system of the United States. A free enterprise economy has five important characteristics. They are: economic freedom, voluntary (willing) exchange, private property rights, the profit motive, and competition.
Step-by-step explanation:
Question 1)
Let "y" denotes the number of yards and "m" denotes the number of meters. According to the give statement, measurement in yards can be changed to measurement in meters by multiplying the measure in yards by 0.9144.
So,
Measure in Meter = 0.9144 x Measure in Yards
m = 0.9144y
Question 2)
We are to convert 7200 yards into meters. Using the values in above equation we can write:
m = 0.9144 x 7200
m = 6583.68 meters
This means 7200 yards are equivalent to 6583.68 meters..
Question 3)
We are to convert 2500 meters to yards.
Using the value in above equation, we get:
2500=0.9144y
⇒
y = 2500/0.9144
y = 2734.03 yards
So this means 2500 meters are equivalent to 2734.03 yards.
