Answer:
21
Step-by-step explanation:
The contiguous U.S. consist of all states beside Alaska and Hawaii; therefore, there are 48 contiguous U.S. states. However, the ratio given to us only consists of 16 states [7 + 9 = 16]. If we need to expand the ratio, we multiply 16 by 3 to get 48. Thus, we also multiply each of the terms by 3, and the ratio becomes 21:27. Therefore, the number of contiguous U.S. states that border an ocean is 21.
<span>The vertex of the parabola is the highest or lowest point of the graph.
</span><span>y=-4x^2+8x-12 = -4 (x^2 -2x +3)
Lets work with this now: </span>x^2 -2x +3
x^2 -2x +3 -> what is the closeset perfect square?
x^2 -2x +1 = (x-1)^2
So
x^2 -2x +3 = (x-1)^2 +2
Replacing to original
y=-4x^2+8x-12 = -4 (x^2 -2x +3) = -4 ((x-1)^2 +2) = -4 (x-1)^2 - 8
The min or max point is where the squared part = 0
So when x=1 , y= -4*0-8=-8
This will be the max of the parabola as there is - for the highest factor (-4x^2)
The max: x=1, y= -8
Since they are vertical angles, they equal each other. Therefor the equation would be: 30x-29 = 20x+21
10x = 50
X = 5
After, you plug whatever x is back into the other equations.
20(5)+21 = 121 and 30(5)-29 = 121
