Answer:
[-1,3]
Step-by-step explanation:
|2x|<x+3
calculate the absolute value
2*|x|<x+3
move < to left
2*|x|-x<3
split into possible cases
2x-x<3, x<0
2*(-x)-x<3, x<0
solve inequalities
[0,3]
[-1,0]
find union
[-1,3]
Answer: 6928
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Explanation:
We have two areas we need to find: The area of the trapezoid and the area of the rectangle. Let's call these areas A1 and A2.
Area of Trapezoid = (height)*(base1+base2)/2
A1 = h*(b1+b2)/2
A1 = 80*(150+100)/2
A1 = 80*250/2
A1 = 20000
A1 = 10000
Area of Rectangle = (length)*(width)
A2 = L*W
A2 = 48*64
A2 = 3072
Subtract the two areas (A1-A2) to get the difference D
D = A1 - A2
D = 10000 - 3072
D = 6928
This difference D is exactly equal to the shaded area.
Each ride has a fixed cost of 7 and a cost that increases proportionally to the distance travelled of 0.25 per mile. Therefore the total cost of the ride is:

Where "x" is the distance in miles. Marco can only spend 30 on his ride, therefore the cost must be less or equal to that value.

We can solve the linear equation by isolating the "x" variable on the left side.

Marco's travel must be shorter or equal to 92 miles.
Answer:
A
Step-by-step explanation:
Not 100% sure, been a while since i did this stuff but i think A is correct