Answer:
$ 51.59
Step-by-step explanation:
Nate has shares worth $ 36.85.
He says that the value of these shares increased by $ 2 plus 40% of their original value, therefore the final value would be as follows:
$ 2 + $ 36.85 * 0.40 = $ 2 + $ 14.74 = $ 16.74, was the increase.
The sale value was of this increase plus the original value, therefore:
$ 36.85 + $ 14.74 = $ 51.59
Nate sold the shares at a value of $ 51.59.
Since they want only the coordinates of the vertices. You only care about where the lines intersect, the greater than, less than signs are irrelevant.
Get each equation in 'y=mx+b' form
1) y = -x + 9
2) y = 2x-21
3) y = -4x +15
Now you can set any 2 equations equal to each other and solve for 'x'.
This will be the 'x' coordinate of the point where the 2 lines intersect.
You need 3 points, so you will need 3 different sets of 2 equations:
1) = 2)
2x -21 = -x+9
3x = 30
x = 10 -----> y = -(10)+9 = -1
1) = 3)
-x+9 = -4x+15
3x = 6
x = 2 -------> y = -(2) + 9 = 7
2) = 3)
2x - 21 = -4x+15
6x = 36
x = 6 ---------> y = 2(6) -21 = -9
Therefore the 3 intersecting points are:
(10,-1)
(2, 7)
(6, -9)
Answer:
The number of complex roots is 6.
Step-by-step explanation:
Descartes's rule of signs tells you that the number of positive real roots is 0. The number of negative real roots will be at most 2. The minimum value of the left side will be between x=0 and x=-1, but will never be negative. Thus all six roots are complex.
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The magnitude of x^3 will exceed the magnitude of x^6 only for values of x between -1 and 1. Since the magnitude of either of these terms will not be more than 1 in that range, the left-side expression must be positive everywhere.
Hancock building * .27 = 92 m
divide each side by .27
Hancock building =92/.27
Hancock building =340.740(repeating)
Answer: the building is approximately 340.74 meters
134.4 miles, because 5/7 in decimal form is 1.4, divide 188.3/1.4 = 134.4 miles
